Jane is thinking of a number between -10 and 10. if you multiply Jane's number by -2, then subtract 2, the result is greater than 6. What is Jane's number

Answers

Answer 1
-10 works and so does -9,-8,-7,-6, and -5
Answer 2
Your answer could be 8

Related Questions

Cam is going to roll a fair 6-sided die 2,400 times. What is the best prediction for the number of times that cam will roll the number 4?

Answers

it doesn’t matter how many times she rolls the dice. she will have a 1/6 chance is rolling the number 4, which is a 16.6% chance

Answer:

Close to 400 times not exactly 400.

A table shaped like a solid cube needs to painted. All six faces of the table must be painted. The edge length of the table is 1.2 m. What is the total surface area that will be painted? Drag and drop the correct answer into the box. 7.21.7288.645.76 m²

Answers

Answer:

8.64 is the answer. I put 7.2 and got it wrong. :)

8.64

Step-by-step explanation:

I TOOK DA TESTTTTT

REEEEEEEEEE

Final answer:

Since the area of one side is 1.44 m², the total surface area is 8.64 m².

Explanation:

To find the total surface area that will be painted on a cube-shaped table with an edge length of 1.2 m, we use the formula for the surface area of a cube, which is 6 times the area of one side.

Calculating the area of one side (1.2 m × 1.2 m) gives us 1.44 m². Multiplying this by 6 (6 × 1.44 m²) gives the total surface area which is 8.64 m². Therefore, the correct answer to drag and drop into the box is 8.64 m².

suppose F varies inversely with G and that f equals 40 when g equals 5 what is the value of f when g equals 10

Answers

WRITE EQUATIONS....
f = k÷ g (inversely proportional....)
∴ if f= 40 and g= 5 K= (40×5) =200


now that u have k... and given g = 10...u can substitute to find f
f= 200÷10 =20
so f = 20
Final answer:

The value of F when G equals 10 is 20.

Explanation:

The given problem states that F varies inversely with G. In other words, as G increases, F decreases, and vice versa. The inverse variation can be represented by the equation F = k/G, where k is a constant.

We are given that when G = 5, F = 40. To find the value of F when G = 10, we can use the equation F = k/G and substitute the given values.

F = k/5, and when F = 40, we have 40 = k/5. Solving for k, we get k = 40 x 5 = 200.

Now, we can substitute k = 200 and G = 10 into the equation F = k/G. F = 200/10 = 20.

JEWELRY is to FILIGREE as ____ is to ____?
A. Music is to din
B. Clothing is to lace
C. Cyclone is to vortex
D. Forest is to tree
E. Ice cream is to flavor

Answers

B clothing is to lace
Final answer:

The correct answer is B. Clothing is to lace. The analogy asks to draw a comparison between an object and a characteristic of that object, so filigree is to jewelry as lace is to clothing.

Explanation:

The correct answer is B. Clothing is to lace. This analogy asks you to draw a comparison between an object and a characteristic or feature of that object. In the case of 'JEWELRY is to FILIGREE', filigree is a detailed, intricate design often found in jewelry. Similarly, in 'Clothing is to lace', lace is a material often found in clothing and contributes to the design or style of the clothing piece, much like filigree does for jewelry.

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What are the side lengths of the rectangle area 40 perimeter 26

Answers

Recall the formula for finding the area of a rectangle:

           Area = Length × Width

Recall the formula for finding the perimeter of a rectangle:

         Perimeter = 2 ( Length + Width )

Given in your problem:
        Area = 40 sq. units
        Perimeter = 26 units

Required to solve for:
        Length (L) and width (W)

• First, substitute the given to the formula:

        Area = Length x Width
          40 = L × W      ⇒   equation number 1

       Perimeter = 2 ( Length + Width )
            26 = 2 ( L + W )     ⇒   equation number 2


• Simplifying equation number 2,
           13 = L + W

 • Rearranging the equation, 

         L = 13 - W   ⇒   equation 3

Substituting equation 3 from equation 1:

      ( equation 1 )               40 = (L)(W)
      ( equation 3 )                L = 13 - W
                                      40 = (13 - W) (W)
                                      40 = 13W - W² 
      ( regrouping )          W² - 13W + 40 = 0
      ( factoring )             (W - 8) (W - 5) = 0
                                     W - 8 = 0    ;     W - 5 = 0
                                        W = 8      ;        W = 5
   
Therefore, there are 2 possible values for the width of the rectangle. It can be 8 units or 5 units.

• Now to solve for the length of the rectangle, substitute the two values of width to equation 3.

      (equation 3)        L = 13 - W
                       for W = 8    ⇒   L = 13 - 8
                                                   L = 5 units
                   
                       for W = 5    ⇒  L = 13 - 5
                                                   L = 8 units

three of the angle measures of a parallelogram are 60°, 120°, and 60°. What is the measure of the fourth angle?

Answers

IF it is a parallelogram then the angles add up to 360 so the last angle would be
360 - 120 - 60 - 60 = 120
120+120=240 360-240=120.

Carl spends 9 hours each day working at her job. what percentage of her day does she spend at work

Answers

They spend 37.5% if their day at work, you need to divide 9/24 then multiply that answer by 100 to find the percentage!
37.5% is the correct answer.

what is 3^4
a.9
b.81
c.43
b.27

Answers

Hello!

The answer to this is B!
b.81 is the correct answer

there are 8 rows of chairs in the auditorium.three of the rows are empty. what fraction of the rows are empty?

Answers

3/8 of the rows are empty. The three rows that are empty (3) would be in the numerator while the total amount of rows (8) would be in the denominator.
The fraction of the empty rows would be 3/8. The number of the empty rows which is 3 will be your numerator while the total number of rows which is 8, will be your denominator. In percentage form, 37.5% of the rows are empty.

It costs Marie $25 overhead and then an additional $1.25 to make each barrette. She charges $3.50 for each one. Write a function to model Marie's profit?

Answers

Given is the Overhead charges = 25 dollars.

Making charge of each barrette = 1.25 dollars.

Let's assume the number of barrette that she makes = x

So the Cost function would be, C(x) = 1.25x + 25.

She sell each piece for 3.50 dollars.

So the Revenue function would be, R(x) = 3.50x


We know the Profit function is given by the difference of Revenue function and Cost function.

Profit function = Revenue function - Cost function

P(x) = R(x) - C(x)

P(x) = 3.50x - (1.25x + 25)

P(x) = 3.50x - 1.25x - 25

P(x) = 2.25x - 25

Hence, Marie's Profit would be P(x) = 2.25x - 25.

what is statistics what is the definition of statistics

Answers

The branch of mathematics that deals with the collection, organization, analysis, and interpretation of numerical data.
Final answer:

Statistics is a branch of mathematics dealing with data collection, analysis, interpretation, and presentation, consisting of two main types: descriptive and inferential. Statistical models use probability distributions to describe expected behaviors and variability within observations.

Explanation:

About Statistics

The field of statistics is an essential discipline within mathematics that entails the collection, analysis, interpretation, and presentation of data. In our daily lives, we encounter data in various forms, which can be meticulously examined and understood through statistical methods. Two main types of statistics exist: descriptive statistics and inferential statistics. Descriptive statistics summarize and describe the features of a specific data set, providing a way to visualize data through graphs, charts, and summary measures like the mean and standard deviation. On the other hand, inferential statistics allow us to make predictions or inferences about a population based on a sample of data.

Statistical models are used to describe phenomena, utilizing probability distributions to account for the expected behavior and variability of observations. When researchers collect data, they often use a random sample to represent the larger population. A statistic is a numerical characteristic derived from the sample that helps estimate the corresponding population parameter, which is a characteristic of the entire population.

Statistics and probability are intertwined; as we gather and inspect data, we use statistical tools to distinguish good data from bad and create accurate predictions. Properly understanding and applying statistics can lead to more informed decisions in science, business, policy-making, and virtually every other field where data is essential.

Convert the ratio of sheep to pigs below to the ratio of the pigs to total animals (sheep and pigs) 5:9

Answers

Answer:

The ratio of pigs to total animals is 9:14 or 9/14.

Step-by-step explanation:

Given that the total number of sheep =  5

The total number of pigs = 9

From that, the given ration of sheep to pigs is 5:9

Now, the total number of animals = no. of pigs + no. of sheep = 5+9 = 14.

So, to express the ratio of pigs to the total number of animals =

no. of pigs: total no. of animals = 9:14.

Therefore, the ratio of pigs to the total number of animals is 9:14.

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The number of right-handed students in a math class is nine times the number of left-handed students. The total number of students in the class is 30. How many left-handed students are in the class?

Answers

R - Right Handed 
L - Left Handed 

R = 9L ( the number of right handed kids is equal to having 9*number of left handed kids) 
9L + L = 30  ( since total number of people in class is 30) 
10L = 30 
( Divide by 10 both sides )
L = 3 

so... There are 3 Left Handed kids and 27 Right Handed kids ( since R = 9L , R = 9(3) = 27)

Hope this helped!
Final answer:

The number of left-handed students in the class is 3.

Explanation:

The problem involves understanding and solving a simple algebraic equation. From the problem, we know that the number of right-handed students is nine times the number of left-handed students. We can use 'x' to represent the number of left-handed students, meaning 9x represents the number of right-handed students. The total number of students is given as 30.

So, we set up the equation: x + 9x = 30. Simplifying this gives 10x = 30. Solving for 'x', we find x = 3. So, there are 3 left-handed students in the class.

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Round 129.392 to the nearest ten,one,tenth,and hundredth. I need help plz

Answers

nearest ten=130
nearest one=129
nearest tenth= 129.4
nearest hundredth= 129.39

Denise and Stacey went to a carnival. The admission fee was $6 per person. Each ride at the carnival costs c dollars. The game booths charged g dollars for each game. Both Denise and Stacey went on 7 rides each. Stacey played 3 games, while Denise played 2 games. Which expression represents the total amount of money that Denise and Stacey spent at the carnival

Answers

The correct answer is Option D. [tex]14c+5g+12[/tex]. The expression [tex]14c+5g+12[/tex], which represents the total amount of money that Denise and Stacey spent at the carnival.

To calculate the total amount of money Denise and Stacey spent at the carnival, we need to consider the admission fee, the cost of rides, and the cost of games for both of them.

Admission Fee: Since both Denise and Stacey went to the carnival, we need to include the admission fee for each of them. The admission fee per person is $[tex]6[/tex]. So, for both Denise and Stacey, the total admission fee is [tex]2*6=12[/tex] dollars.

Rides: Both Denise and Stacey went on [tex]7[/tex] rides each. Since the cost of each ride is c dollars, the total cost for rides for each of them is [tex]7c[/tex]. So, for both Denise and Stacey, the total cost for rides is [tex]2*7c=14c[/tex] dollars.

Games: Stacey played [tex]3[/tex] games, and Denise played [tex]2[/tex] games. The cost of each game is g dollars. So, the total cost for games for Stacey is [tex]3g[/tex] dollars, and for Denise, it's [tex]2g[/tex] dollars.

Putting it all together, the expression representing the total amount of money that Denise and Stacey spent at the carnival is:

Combining these costs, we get [tex]14c+5g+12[/tex], which represents the total amount of money that Denise and Stacey spent at the carnival.

COMPLETE QUESTION:

Denise and Stacey went to a carnival. The admission fee was $[tex]6[/tex] per person. Each ride at the carnival costs c dollars. The game booths charged g dollars for each game. Both Denise and Stacey went on [tex]7[/tex] rides each. Stacey played [tex]3[/tex] games, while Denise played [tex]2[/tex] games. Which expression represents the total amount of money that Denise and Stacey spent at the carnival?

A. [tex]7c+5g+6[/tex]

B. [tex]7c+5g+12[/tex]

C. [tex]14c+5g+6[/tex]

D. [tex]14c+5g+12[/tex]

Three ballet dancers are positioned on stage. Shereen is straight behind Haley and directly left of Eric. If Haley and Shereen are 4 feet apart, and Eric and Haley are 7 feet apart, what is the distance between Shereen and Eric? If necessary, round to the nearest tenth.

Answers

Final answer:

The distance between Shereen and Eric is approximately 8.0623 feet.

Explanation:

To find the distance between Shereen and Eric, we can use the information given in the question. Since Haley and Shereen are 4 feet apart, and Eric and Haley are 7 feet apart, we can calculate the distance between Shereen and Eric using the Pythagorean theorem. Let's label the distance between Shereen and Eric as 'x'. Based on the information, we have a right triangle with one leg of 4 feet and the other leg of 7 feet. Using the Pythagorean theorem, we can calculate the hypotenuse, which is the distance between Shereen and Eric: x^2 = 4^2 + 7^2. Solving for 'x', we find that the distance between Shereen and Eric is approximately 8.0623 feet.

Final answer:

The distance between Shereen and Eric is 3 feet.

Explanation:

To find the distance between Shereen and Eric, we can use the given information about the distances between the dancers. Let's assume the distance between Shereen and Eric is 'd' feet. Since Haley and Shereen are 4 feet apart and Eric and Haley are 7 feet apart, we can set up the following equations:

Haley - Shereen = 4Haley - Eric = 7

To solve these equations, we can use substitution. Rearrange the first equation to isolate Haley: Haley = Shereen + 4. Substitute this expression for Haley in the second equation: Shereen + 4 - Eric = 7. Simplify the equation:

Shereen - Eric = 3.

So, Shereen and Eric are 3 feet apart.

1. Could the number 0000 appear in a table of random digits? How likely is this?

Answers

Yes cause it just can

Yes,

probability = favorable outcomes/ total outcomes

to calculate the probability for this to occur, we use nCr ( nCr = n!/r!)

there are total 10 digits

so probability of the number 0000 appear in a table of random digits=

(1*1*1*1)/(10C1 * 10C1 * 10C1 * 10C1)

= 1/10000

Suppose that 2% of the students in a school have head lice and the test for head lice is accurate 75% of the time. What is the probability that a student in the school has head lice, given that the test came back positive? Round your answer to the nearest tenth of a percent.

Answers

If 2% of the student actually have head lice, but only 75% of that 2% will actually have a positive test result, then your probability of a result coming back positive would 75% of 2% (0.75 x 0.02). The answer is 0.02 chance.

How is a ratio table used to graph equivalent ratios?? Best Answer Will Be Rewarded As Brainliest!

Answers

A ratio table organizes equivalent ratios, aiding in systematic plotting of points to graphically represent the relationships between different quantities.

A ratio table is a useful tool in graphing equivalent ratios by providing a systematic and organized way to identify corresponding pairs of values. To use a ratio table for graphing equivalent ratios, follow these steps:

Identify the Original Ratio:

Start with the given ratio or pair of values. For example, if the original ratio is 2:3, write this pair in the first row of the ratio table.

Generate Equivalent Ratios:

Expand the ratio by multiplying or dividing both parts by the same factor. For instance, if you multiply both parts of the original ratio by 2, you get an equivalent ratio of 4:6. Record these equivalent ratios in subsequent rows of the table.

Create an Ordered Pair:

Pair each value from the ratio table to create ordered pairs. For the ratio 2:3, the pairs would be (1, 1.5), (2, 3), (3, 4.5), and so on.

Plot the Points:

Use the ordered pairs to plot points on a coordinate plane. Each point represents a pair of equivalent values.

Connect the Points:

Draw a line or curve that passes through all the plotted points. This line represents the graph of the equivalent ratios.

By systematically generating equivalent ratios and plotting the corresponding points, a ratio table facilitates the visualization of patterns and relationships, helping in the creation of a coherent graph.

Final answer:

A ratio table is used to graph equivalent ratios by listing pairs of numbers that maintain the same product and graphing those pairs as points on a coordinate graph. These points should line up to form a straight line, indicating equivalent ratios. Understanding the reciprocal of the numbers is key in constructing a clear and accurate graph.

Explanation:

How to Use a Ratio Table to Graph Equivalent Ratios

A ratio table is a tool that helps us understand the relationship between quantities. It is particularly useful for visualizing equivalent ratios and can be used to graph these ratios. When you use a ratio table, you list pairs of numbers that form equivalent ratios. By selecting values that multiply to a constant number, such as 10, you ensure that the ratios are equivalent.

For instance, if the ratio is 2:5, we know that any other pair of numbers that multiplies to 10 (like 4:2.5, 1:5, or 5:2) will be equivalent to this ratio. Once you have a set of equivalent ratios, you can graph them by plotting the pairs of numbers as points on a coordinate graph. The resulting points should form a straight line, which represents the constant relationship between the two quantities.

To effectively use a ratio table and subsequently graph equivalent ratios, it is important to understand the concept of the reciprocal and how it relates to the ratios. For example, the reciprocal of 8 is thought of as '1.25-like', which means it shares a fundamental relationship (125) despite the actual placement of the decimal point. This approach aids in easily identifying the patterns in the ratios and transferring them to a graph.

Bar graphs are also a vital tool in comparing quantities across different categories. By employing bar graphs, you can visually compare the relationships between different sets of data, such as population sizes or the number of students falling into different categories. Effective use of colors, legibility, and orderly display are essential features to ensure clarity in bar graphs.

Keisha has a rug in the shape of a rectangle that she wants to put in her bedroom. The rug has an area of 6 square meters. She wants to see if it will fit in the space she has in her bedroom. If the rug has a height of 2.5 meters, what is the base of the rug? The rug has a base of ____meters.

Answers

Given is a rectangular rug that she wants to put it in the space of her bedroom.

Given is the area of the rug = 6 square meters.

Also the height of the rug is given = 2.5 meters.

It says to find the base of the rug, let's assume base = B meters.

We know the formula for area of the rectangular shape is given as follows :-

Area = Base x Height

6 square meters = B meters x 2.5 meters

[tex] B = \frac{6}{2.5} =\frac{60}{25} = 2.4 \;meters [/tex]

Hence, the base of the rug = 2.4 meters.

Answer:

2.4 meters. is the answer

Step-by-step explanation:

The density of gold is 19.32 grams per cubic centimeters. Jimmy Jackson built a pyramid made out of pure gold about 2.13 meters tall with a mass of 298.7 kilograms. If the base of the pyramid is a square, what are the dimensions of the base of the pyramid?

Answers

Final answer:

By calculating the volume of the gold pyramid using the given mass and density of gold, and then applying the volume of a pyramid formula, we find that the dimensions of the square base are approximately 14.75 cm by 14.75 cm.

Explanation:

To find the dimensions of the base of the pyramid made out of pure gold, we need to calculate the volume of the gold pyramid using the known mass and density of gold then use that volume to find the base area and, consequently, the dimensions of the base.

The density (d) of gold is given as 19.32 g/cm³, and the mass (m) of the pyramid is 298.7 kg. First, we convert the mass from kilograms to grams (since the density is in grams per cubic centimeter):

m = 298.7 kg * 1000 g/kg = 298700 g

Next, we use the formula for density d = m/V to find the volume (V) of the gold pyramid. Rearranging the formula to solve for V gives:

V = m/d

V = 298700 g / 19.32 g/cm³

V ≈ 15461.8 cm³

Since the base of the pyramid is a square and the pyramid is 2.13 meters tall, we can use the volume of a pyramid formula V = (1/3) * base area * height to find the base area. We first convert the height from meters to centimeters:

height = 2.13 m * 100 cm/m = 213 cm

Now applying the pyramid volume formula and solving for the base area, we have:

base area = 3V / height

base area = 3 * 15461.8 cm³ / 213 cm

base area ≈ 218.2 cm²

To find the dimensions of the square base, we take the square root of the base area:

side length = √(base area) ≈ √(218.2 cm²) ≈ 14.75 cm

Therefore, the dimensions of the base of the gold pyramid are approximately 14.75 cm by 14.75 cm.

Phineas is the lead research scientist in a lab and responsible for ordering supplies and equipment. The lab is out of petri dishes, so Phineas orders 185 of them. The lab uses 12 petri dishes each day.

Answers

Is the question how long would the 185 petri dishes last because if so it would be about 15 days
Hope this helped ;)

Answer:

The relationship is between the days that have gone by and the number of petri dishes.  The point (0, 185) means that if 0 days have gone by there are 185 petri dishes.  The number of petri dishes decreases by 12 each day, so the slope is –12.   Use the slope-intercept form to write the equation y = –12x + 185.

Thats the actual answer from edge

Ty borrowed $500 from his parents.The graph shows how much he owes them each month if he pays back a certain amount each amount each month. How long will it take Ty to pay back his parents?

Answers

if he's paying $50 each month 500/50=10 so it'll take him 10 months

Gary’s bathroom measures 12 feet by 4 feet. What is the area of the bathroom floor? A. 28 ft2 B. 44 ft2 C. 48 ft2 D. 96 ft2

Answers

the answer is c
hope this helps

the area is c. 48 ft2 

Nehdudhdhddjjdhdjdjdjr

Answers

hey njjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
1.
A= 90-34 = 56
2.
A=180-157=23
3.
Acute triangle
4.
I can’t see
5.
Acute
Obtuse
Right triangle

Hope this help

Mrs McDonald used 4 1/4 gallons of water to water her flowers .if she used 1/4 of the water on her flowers daisies , how many gallons of water did she use on the daisies?

Answers

the amount of water she used to water her flowers was 4 1/4 .
she has used 1/4 of this water to water her daisies.
therefore 1/4 of the water she used was to water daisies.
then its 1/4 of 4 1/4.
                                                                                 
if we write 4 1/4 as an improper fraction , 4 wholes equal to 16/4 + 1/4 = 17/4. then we have to find 1/4 of 17/4 which is [tex] \frac{1*17}{4*4} = \frac{17}{16} [/tex].
then we can mulitply the denominators by denominators and numerators by numerators. then answer is 17/16.
If we divide 17 by 16 we get 1.0625
                                         

she used 1.0625 gallons of water to water daisies

Answer:

1.0625 gallons of water was used by her.

Step-by-step explanation:

Mrs McDonald used [tex]4\frac{1}{4}[/tex] gallons of water to water her flowers.

She used [tex]\frac{1}{4}[/tex] of the water on her flowers daisies.

We have to calculate the gallons of water used by her to water daisies.

Let Mrs McDonald used G gallons of water to water the flowers daisies.

Then one fourth of [tex]4\frac{1}{4}[/tex] = G

[tex]G=(\frac{1}{4}).(\frac{17}{4})[/tex]

[tex]G=\frac{17}{16}=1.0625 gallons[/tex]

Therefore 1.0625 gallons of water she used on the daisies.

Two complementary angles have the measurements of 2x + 8 and 3x - 13. What is the value of x?

Answers

Two angles are complementary when they add up to 90 degrees 

3x-13 = 2x+8
3x-2x = 8+13
x = 21

Polygon ABCDE is the result of a reflection of polygon LMNOP over the line. Which line segment in the image corresponds to OP¯¯¯¯¯ in the pre-image?

EA¯¯¯¯¯

DE¯¯¯¯¯

BC¯¯¯¯¯

CD¯¯¯¯¯

AB¯¯¯¯¯

Answers

Answer:  [tex]\overline{DE}[/tex]

Step-by-step explanation:

Given: Polygon ABCDE is the result of a reflection of polygon LMNOP over the line.

Since reflection preserves the size of the figure and maps a congruent image .

Therefore, polygon ABCDE is congruent to polygon LMNOP

Also, we know that if two polygons are congruent then their corresponding sides are equal.

Then, LM=AB

MN=BC

NO=CD

OP=DE

AE=LP

So , the  line segment in the image corresponds to [tex]\overline{OP}[/tex]in the pre-image is [tex]\overline{DE}[/tex].     [Last two letters of the name of polygons]

Answer:

(B) DE

Step-by-step explanation:

Given: Polygon ABCDE is the result of a reflection of polygon LMNOP over the line.

To find: A line segment in the image corresponds to OP in the pre-image.

Solution: It is given that  Polygon ABCDE is the result of a reflection of polygon LMNOP over the line.

Also, we know that reflection maps a congruent image, therefore polygon ABCDE is congruent to polygon LMNOP.

And, if two polygons are congruent then their corresponding sides are congruent, thus

LM=AB

MN=BC

NO=CD

OP=DE

AE=LP

Hence, the  line segment in the image corresponds to [tex]\overline{OP}[/tex] in the pre-image is [tex]\overline{DE}[/tex].

Therefore, option B is correct.

solve and express the solution set in simplest form. 6x-1/5=3/1

{8/3}

{5/2}

{3/2}

{5/3}

plz help...

Answers

Follow the steps below:

Final answer:

The question appears centered around solving an equation or a system of equations to find values of variables in their simplest form. Strategies include simplification, elimination, substitution, or using matrices, depending on the equation's complexity.

Explanation:

The question seems to have a typo or confusion in presenting the equation properly. However, based on the context provided later in the information, solving equations and finding solutions in simplest form appears to be the central theme. When solving equations or systems of equations, the goal is to isolate the variable (for a single equation) or to find the variable values that satisfy all equations (for a system). This process often involves steps like simplifying equations, eliminating variables, and utilizing methods like substitution, elimination, or using matrices.

For simpler equations, like in the form of ax + b = c, you would solve for x by isolating it: x = (c - b) / a. When dealing with systems of equations, each equation provides a piece of the puzzle, and solving them together reveals all variable values that satisfy the system. The strategy often depends on the complexity and format of the equations involved.

The mentioned solutions, x = 3 and x = -7, imply that the problem revolves around finding specific values that satisfy a given equation or system. To confirm these solutions, one would substitute them back into the original equations to ensure they do not violate any of the given conditions. This step is crucial to validate the results of the solving process.

Find the length of side AB in the right triangle shown.

Answers

Side AB is 72 cm long.



Explanation:

To find the length of side AB you have to use this formula:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

*Remember there are two legs (a and b) and a hypotenuse (c) on a triangle. The longest side will be the hypotenuse and the other two will be the legs. For this triangle the hypotenuse is side BC while the legs are sides CA and side AB.

Plug in the numbers into the equation.


[tex] {65}^{2} + {b}^{2} = {97}^{2} [/tex]
For this triangle, you were given the hypotenuse (c) and one leg (a). To find the last length solve the equation and balance it so only b is left, like this:

[tex]4225 + {b}^{2} = 9409[/tex]

[tex]9409 - 4225 = 5184[/tex]

Soo...

[tex] {b}^{2} = 5184[/tex]

Then to get the side length, square root 5184.

[tex] \sqrt{5184} = 72[/tex]

So the length of the last side is 72 cm.

Answer:

72

Step-by-step explanation:

Other Questions
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