which choice correctly shows the solution(s) of the equation x2=121?

Answers

Answer 1

Answer:

x = ±11

Step-by-step explanation:

x^2 =121

Take the square root of each side

sqrt(x^2) = ±sqrt(121)

x = ±11

Answer 2

Answer:

x=±11

Step-by-step explanation:

To solve, we need to isolate the variable x,

To do this, take the square root of both sides

[tex]x^{2} =121\\\sqrt{x^{2} } =\sqrt{121}[/tex]

x=±11

It is positive or negative 11 because 11^2 (11*11)=121, but -11^2 (-11*-11) also equals 121 because 2 negatives multiplied become a positive.


Related Questions

help please!! i’ll reward branliest, 50 points

Answers

Answer:

Madeline: y=1x+9

Issac: y=2x+1

x=8, y=17

Step-by-step explanation:

Solving for X:

Multiply Issac's by -1:

y= 1x+ 9

-y=-2x-1

Combine:

0=-x+8

Add x to both sides:

x=8

Solving for Y:

Since we already have x, we only need to input the x value into one of the formulas:

y=1(8)+9

Simplify parenthesis with multiplication:

y=8+9

Add:

y=17

If you feel unsure, check your work with both equations:

(17)=2(8)+1

17=16+1

17=17=Good

(17)=1(8)+9

17=8+9

17=17=Good

Please give a brainliest and a thx ;)

I hope this helps u :)

I need this awnsered asap pls

Answers

Answer:

Answer 3

Step-by-step explanation:

smog is fog or haze combined with smoke and other air pollutants

smog is formed when sunlight hits these air pollutants

The square of a positive number increased by twice the number equals three. Find the number

Answers

Answer:

1

Step-by-step explanation:

Let the number be x

x² + 2x = 3

x² + 2x - 3 = 0

Product  = -3

Sum =2

Factors = 3 * (-1)

x² + 3x - x - 3 = 0

x*(x+3) - (x + 3) = 0

(x + 3)(x - 1) = 0

Ignore x + 3 because the number is a positive number

x - 1 = 0

x = 1

The number is 1

200,80,32... find the 7th term

Answers

Answer:

Step-by-step explanation:

hello :  

geometric sequence whel the common ratio is : 32/80=80/200 = 0.4

200 ,80,32,12.8 , 5.12 , 2.048 , 0.8192

the 7th term is : 0.8192

Find the value of the angles

Answers

Answer:

Angle 1 = 115

Angle 2 = 15

Angle 3 = 50

Write 17/25 as a percent

Answers

Answer:

68%

Step-by-step explanation:

Times both the top and bottom number by 4.

Answer:

Step-by-step explanation:

[tex]\frac{17}{25}*100=17*4[/tex]

  = 68%

This is urgent, please answer!

The diagram shows the dimensions of a pool cover for a hotel pool.

Write and solve and equation to find the area of the pool cover.

Answers

Answer:

1035

Step-by-step explanation:

(10x7.5)+(20x45)+(8x7.5)will give you the area

This confuses me.
Find the table values for y=x^3+x^2-6x

Answers

You have to plug in the x values into the equation. For example, if you’re looking for the y value of -3, plug -3 in for x (y = (-3)^3 + (-3)^2 - 6(-3)) which equals 0.

If 75 square feet of
aluminum foil costs
$3.99, what is the cost
per square foot?

Answers

Answer:

$0.05

Step-by-step explanation:

Your answer is going to be 0.05

What is the expanded form of this number?

18.029


(1×10)+(8×1)+(2×1100)+(9×1100)

(1×10)+(8×1)+(2×110)+(9×11,000)

(1×10)+(8×1)+(2×110)+(9×1100)

(1×10)+(8×1)+(2×1100)+(9×11,0

Answers

(1×10)+(8×1)+(2×110)+(9×1100)

Answer: (1x10)+(8x1)+(2x110)+(9x1100)

What is the measure of angle b in degrees

Answers

Answer:

B=119

Step-by-step explanation:

C=180-112=68

68+51=119

A=180-119=61

180-61=119

B=119

Answer:

∠ B = 119°

Step-by-step explanation:

∠ C and 112° are adjacent angles and supplementary, thus

∠ C = 180° - 112° = 68°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ B is an exterior angle of the triangle, thus

∠ B = 51° + ∠ C = 51° + 68° = 119°

In the triangle below, Four-fifths represents which ratio?


Right triangle A B C is shown. Side A B has a length of 4, side B C has a length of 5, and side A C has a length of 3.

sinC

sinB

cosC

tanB

Answers

Answer:

(A) [tex]sin C =\frac{4}{5}[/tex]

Step-by-step explanation:

Opposite,AB = 4,

Hypotenuse,BC = 5

Adjacent, AC = 3.

[tex]sin \theta =\frac{opposite}{Hypotenuse}\\ sin C =\frac{4}{5}[/tex]

The value of sin C, sin B, cos C, and tan B will be 4/5, 3/5, 3/5, and 3/4.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Right triangle ABC is shown. Side AB has a length of 4, side BC has a length of 5, and side AC has a length of 3.

Then the value of the sin C, sin B, cos C, and tan B will be

sin C = 4/5

sin B = 3/5

cos C = 3/5

tan B = 3/4

The diagram is given below.

More about the right-angle triangle link is given below.

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what is the area of the shaded region?

Answers

Answer:

125.6 cm²

Step-by-step explanation:

Area of circle = πr²

Area of shaded region = Area of outer circle - area of the inner circle

= 3.14*7*7 - [3.14*3*3]

= 153.86 - 28.26

= 125.6 cm²

OR

= 3.14 * 7 * 7 - [3.14*3.*3]

= 3.14* [7² - 3²]

= 3.14* (7+3)(7-3)  

= 3.14* 10 * 4

= 125.6 cm²

125.6 is the answer pls give me brainlest

Please help me solve the equation
2c + 5 = 11 + 4a

Answers

Factor then solve to find the complex solutions

c=2a+3

Answer:

c = 2a + 3

Step-by-step explanation:

2c + 5 = 11 + 4a

2c = 4a + 11 - 5

2c = 4a + 6

c = 4a/2 + 6/2

c = 2a + 3

Bivariate data is data for two, usually related, variables. Each value of one variable is paired with a value of the other, for example, the height and shoe size of each student in a high school class. Bivariate data can be plotted on a coordinate plane called a scatter plot. A scatter plot’s x-axis represents one variable, and its y-axis represents the other. By plotting each data pair on a scatter plot, we can visualize the relationship between variables. Scatter plots help us understand whether or not something like height and shoe size are related. Scatter plots also help us identify outliers and clustering in a set of bivariate data. Outliers are values that are much larger or smaller than most other values in a data set. On a scatter plot, outliers are easy to spot since they appear well above or below most other plotted points. Clustering becomes apparent when points are bunched close together. This tells us something about how common a particular range of values is.

Answers

Answer:Average gas price at a local gas station.

Step-by-step explanation:

Final answer:

Bivariate data consists of pairs of related variables and is visualized using a scatter plot. Scatter plots help identify relationships between variables, as well as outliers and clusters within the data.

Explanation:

Bivariate data refers to data that consists of pairs of variables, for example, the height and shoe size of students. Each pair of data is connected, which represents a specific point in the data set. When presented on a scatter plot, bivariate data gives a visual representation of the relationship between these two variables. The x-axis of a scatter plot indicates one variable and the y-axis represents the other.

Scatter plots give us the ability to identify both the existence of relationships between variables and the presence of outliers, which are values significantly larger or smaller than the other values in the data set. These outliers are easy to spot on a scatter plot as they are often far removed from the other plotted points. Scatter plots also help to identify clusters, which is when data points are grouped closely together, indicating a common range of values for the variables.

Learn more about Bivariate data here:

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What is 8 times 10 to the power of 24 divided by 2 times 10 to the power of 18? WILL GIVE BRAINLIEST!!!!!

Answers

Here is the solution-

A cafeteria used 5 gallons of milk in preparing lunch how many one – quart containers of milk did the cafeteria you

Answers

Answer:

20 quarts

Step-by-step explanation:

there is 4 quarts in one gallon therefore there is 5 times one gallon.

5*4=20  

Answer:

20 quarts

because there are 4 quarts in one gallon

hope this helps :)

The zeros of a parabola are -5 and -3. The point (0, 60) is on the graph as represented by the equation.
60=a(0+5)(0+3)
What is the value of a?
−7.5
−4
4
7.5

Answers

Answer:

a=4

Step-by-step explanation:

60=a(0+5)(0+3)

We can simplify this equation

60 = a (5) (3)

60 = a(15)

Divide each side by 15

60/15 = 15a/15

4 =a

Answer:

C) 4

Step-by-step explanation:

60=a(0+5)(0+3)

60 = a(5)(3)

60 = 15a

a = 60/15

a = 4

A ride at a carnival moves on a circular path with diameter 80ft. What is the approximate distance of one complete loop?

5 points

Answers

40 ft hhhhhhhhhhhhhhhhhhh

What is the answer to 1/7÷3

Answers

1/7 divided by 3 can be written as:

1         3

----  ÷  ---- =

7         1

You need to do the reciprocal of 3 so that gives you 1/3.

1         1

----  ÷  ---- =

7         3

Then multiply numerator with numerator and denominator with denominator.

1         1             1

----  ÷  ---- =   --------

7         3         21

Your final answer is 1/21.

there are 57 chips numbered from 1 to 57 placed in a barrel. One Chip is randomly pulled from the barrel. What is the probability that the number is on the chip is greater than or equal to 43

Answers

15/57

Count 43,44,45,45,47,48,49,50,51,52,53,54,55,56,57 which is 15 out of 57

Which model represents the factors of 4x2 – 9? An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 +x , 3 negative. 5 tiles are in the Factor 2 spot: 2 +x, 3 negative. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 + x squared, 3 negative x. Second row: 2 + x squared, 3 negative x. The last 3 rows are the same: 2 negative x, 3 negative. An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 +x , 3 +. 5 tiles are in the Factor 2 spot: 2 +x, 3 +. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 + x squared, 3 + x. Second row: 2 + x squared, 3 negative x. The last 3 rows are the same: 1 + x, 1 negative x, 3 negative. An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 +x , 3 +. 5 tiles are in the Factor 2 spot: 2 +x, 3 negative. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 + x squared, 3 + x. Second row: 2 + x squared, 3 + x. The last 3 rows are the same: 2 negative x, 3 negative. An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 +x , 3 +. 5 tiles are in the Factor 2 spot: 2 +x, 3 +. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 + x squared, 3 + x. Second row: 2 + x squared, 3 negative x. The last 3 rows are the same: 1 + x, 2 negative x, 3 +.

Answers

An algebra tile configuration with 5 tiles in the Factor 1 spot: +x², +x², +, +, +, and in the Factor 2 spot: +x², +x², +x, +x, +x, represents the factors of 4x² - 9.

How to factor a polynomial?

In order to determine a solution for the given polynomial, we would factor it by using this quadratic form:

a² - b² = (a + b)(a - b)

4x² - 9 = 2x² - 3²

2x² - 3² = (2x + 3)(2x - 3)

Based on the calculations above, an algebra tile configuration with 5 tiles in the Factor 1 spot: +x², +x², +x, +x, +x, and in the Factor 2 spot: +x², +x², +x, +x, +x, represents the factors of 4x² - 9 as shown in the image attached below.

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A scientist studies a pod of humpback whales to determine the
migration of humpback whales. What is the population?

A. all whales
B. a pod of humpback whales
C. killer whales
D. all humpback whales

Answers

Answer is D !! Hope this helpsss

Final answer:

In biology, the population refers to all individuals of a species in an area. For the humpback whale study, the population is the specific pod of whales being studied, not all whales or humpback whales in general. This aligns with population ecology principles.

Explanation:

The population in a biology context refers to all the members of a single species living in a particular area. In the given scenario where a scientist studies a pod of humpback whales to determine the migration of humpback whales, the correct answer would be B. a pod of humpback whales. This is because the scientist is studying a specific group of humpback whales, which constitutes a population within the larger population ecology context of all humpback whales.

Population ecology is a field that focuses on the number of individuals of one species in an area and how and why that number changes over time. It helps in understanding different aspects of species like their migration patterns, social structures, and interaction with the environment. A pod of humpback whales would be considered a distinct population if they are living together in the same space and are interbreeding, as per the definition of a population in this biological field.

Need some help please

Answers

Answer:

90^

Step-by-step explanation:

Answer: 0

Step-by-step explanation: Look at where y is -2 and the you can see the coordinate is 0 because it hits the y axis at 0.

simplify fully 9m/12m

Answers

Answer:

9m/12m = 3/4

Step-by-step explanation:

The fraction obtained after the simplification will be 3/4.

What exactly is simplification?

Simplifying is making something easier to do or comprehend, as well as making something less difficult.

[tex]=\rm \frac{9m}{12m} \\\\ = \frac{3}{4}[/tex]

The fraction obtained after the simplification will be 3/4.

To learn more about the simplification, refer:

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A tent company makes one type of tent that is shaped like a triangular prism. The approximate dimensions are 5ft, 6ft, 9ft and 5.5ft. Based on these dimensions, how much fabric is needed to make one tent, including floor.

Answers

Given:

The base of the triangle = 6 ft

The height of the triangle = 5 ft

The other two side of the triangle = 5.5 ft and 5.5 ft

The height of the prism = 9 ft

To find the measurement of the fabric to make the tent.

We need to find the surface area of the triangular prism.

Formula

The surface area of the triangular prism is

[tex]SA = bh+(a+b+c)H[/tex]

where, b be the base of the triangle

h be the height of the triangle

a and c be other two sides of the triangle

H be the height of the prism

Now,

Putting,

b = 6, h = 5, a = 5.5, c = 5.5 and H = 9 we get,

[tex]SA = (5)(6)+(6+5.5+5.5)(9)[/tex] sq ft

or, [tex]SA = 30+153[/tex] sq ft

or, [tex]SA = 183[/tex] sq ft

Hence,

Based on the given dimension 183 sq ft fabric is needed to make the tent.

A book costs $14.00. Rounded to the nearest cent, how much is the tax on the book?

Answers

Answer:

$1.16

Step-by-step explanation:



What is the volume of the eraser?

4 cm
24 cm3
52 cm2
52 cm3

Answers

24cm3 because it says the volume is 24cm3 and the prism measurements are 4x2x4cm
It is b I got 100 % on the test

In the square pyramid below, a = 12 ft and b = 10 ft.



What is the surface area of the square pyramid?
340 square feet
420 square feet
480 square feet
580 square feet

Answers

Square Pyramid

Hence , the surface area of the square pyramid is 340 square feet

Step-by-step explanation:

The square pyramid has a square base

Given that the base side is 10 ft and the slant height of the pyramid is 12 ft.

The surface area of a square pyramid is SA, then

SA = Area of the base + [tex]\frac{1}{2}[/tex] × P × Sh

where P is the perimeter of the base and Sh is the slant height of the pyramid

P = 4 × 10

SA = [tex]10^{2} + \frac{1}{2}[/tex]× 40 × 12

SA = 100 + 240

SA= 340 square feet

Hence , the surface area of the square pyramid is 340 square feet

Find the perimeter of the figure. Show all work (formulas, plugged in values, math calculations) for full credit. PLEASE HELP DO IN AN HOUR

Answers

Answer:

Step-by-step explanation:

Semicircle:

diameter  = length of the rectangle = 25 cm

Half circumference = πd/2

= 3.14 * 25/2 = 39.25 cm

Perimeter of the figure = 39.25 + 20 + 25 + 20

= 104.25 cm

Answer:

104.25 cm

Step-by-step explanation:

Perimeter = three sides + arc

Arc length: ½ × pi × diameter

½ × 3.14 × 25

39.25

Perimeter

39.25 + 20 + 25 + 20

104.25

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