we can write the equation of the line in slope-intercept form:
[tex]y =[/tex][tex](-1/12)x + 6[/tex]
To find the equation of a line in slope-intercept form ([tex]y = mx + b[/tex]), we need to determine the slope (m) and the y-intercept (b).
Given two points (0, 6) and (12, 5), we can calculate the slope (m) using the formula:
[tex]m = (y2 - y1) / (x2 - x1)[/tex]
Using the coordinates (0, 6) and (12, 5):
[tex]m = (5 - 6) / (12 - 0)[/tex]
[tex]= -1 / 12[/tex]
Now that we have the slope (m), we can substitute it into the slope-intercept form equation:
[tex]y = mx + b[/tex]
Using the coordinates (0, 6):
[tex]6 = (-1/12)(0) + b[/tex]
6 = b
Therefore, the y-intercept (b) is 6.
A slope-intercept equation is a linear equation written in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept. The slope (m) determines the steepness or direction of the line, while the y-intercept (b) is the point where the line intersects the y-axis. By using this equation, we can easily identify the relationship between the x and y coordinateson the line, making it convenient for graphing, understanding the line's behavior, and predicting the value of y for a given x.
To learn more about slope intercept:
https://brainly.com/question/29010768
HELP WILL MARK BRAINLIEST!!
Solve.
Answer:
[tex]-\frac{11}{12}[/tex]
Step-by-step explanation:
[tex]\frac{5}{8} +\frac{3}{4} =\frac{11}{8} \\\\\frac{11}{8}=1.375\\\\\frac{-2}{3} -\frac{5}{6} =-\frac{3}{2} \\\\-\frac{3}{2}=-1.5\\\\\frac{1.375}{-1.5} =-\frac{11}{12}[/tex]
We'll split this up between the numerator and denominator.
Numerator:
5/8 + 3/4
Step 1) Make all of the denominators the same
5/8 + 6/8
Step 2) Add the numerators together
11/8
Denominator:
-2/3 - 5/6
Step 1) Make all of the denominators the same
-4/6 - 5/6
Step 2) Subtract the numerators
-9/6
Now we have (11/8) / (-9/6). Dividing fractions is the same as multiplying by the reciprocal.
11/8 x -9/6
-99/48
-2 3/48
-2 1/16
Hope this helps! :)
Lin plays a game that involves a standard number cube and a deck of ten cards numbered 1 through 10. If both the cube and card have the same number, Lin gets another turn. Otherwise, play continues with the next player. What is the probability that Lin gets another turn?
Answer:
6/60
Step-by-step explanation:
The probability that Lin gets another turn, P(E) could be 6/60
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
We are given that Lin plays a game that involves a standard number cube and a deck of ten cards numbered 1 through 10.
Therefore,
P(E) = Number of favorable outcomes / total number of outcomes
Outcomes of cube = { 1, 2, 3, 4, 5, 6}
Outcome of Card = {1, 2, 3} from each group.
when both the cube and card have the same number, then Lin gets another turn.
The probability that Lin gets another turn, P(E) =6/60
P(E) = 1/10
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ6
Please help fast!!!
Answer:
whats the question
Step-by-step explanation:
ask the question
\
select all of the following that are like radicals
Answer:
READ BELOW, Answers Are: A,B,D,F
Step-by-step explanation:
If you are referring to this Edge problem here:
Answer:
A, B, D
Step-by-step explanation:
Adding and Subtracting Radicals Instruction on Edge
Find the value of x.
Answer:
x = 12
Step-by-step explanation:
By property of intersecting secants outside of a circle:
[tex]x \times 15 = 20 \times 12 \\ x = \frac{20 \times 12}{15} \\ x = \frac{20 \times 3}{5} \\ x = 4 \times 3 \\ x = 12[/tex]
Joan draws a bar chart to show the temperatures at midday
on March 1st in five cities.
Joan has made four mistakes
in her diagram.
Write down any three of them.
Possible mistakes in Joan's bar chart could be incorrect scale, inaccurate labeling, and inconsistent bar lengths. Correcting these errors would make the chart a more accurate representation of the temperature data.
Explanation:Without the specific bar chart, it is difficult to identify Joan's mistakes, but possible errors in a bar chart depicting temperatures could be the following:
Incorrect scale: The scale of the bar chart must correspond to the range of temperatures. For example, if temperatures vary from 15 degrees Celsius to 35 degrees Celsius, the scale should encompass this range.Incorrect labeling: Each city and corresponding temperature should be accurately labeled on the chart.Inconsistent bar lengths: The length of the bars should represent the actual data accurately. A higher temperature should have a longer bar and a lower temperature a shorter one.Learn more about Bar Chart Mistakes here:https://brainly.com/question/32121650
#SPJ3
Determine if the expression 7r - 6r3 - 10r4 is a polynomial or not.
Answer:
A polynomial is a combination of terms separated by + or - signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.
The expression 7r - 6r^3 - 10r^4 is a polynomial because it consists of terms with variables raised to non-negative integer exponents.
Explanation:The expression 7r - 6r3 - 10r4 is a polynomial because it is a mathematical expression consisting of terms with variables raised to non-negative integer exponents.
A polynomial is an algebraic expression made up of one or more terms, where each term has a coefficient and a variable raised to a non-negative integer exponent. In this case, the expression has three terms: 7r, -6r3, and -10r4. The variable in the expression is 'r', and each term is raised to a non-negative integer exponent.
Therefore, the expression 7r - 6r3 - 10r4 is a polynomial.
Learn more about Polynomials here:https://brainly.com/question/23631446
#SPJ3
which number is a fact of 6?
Answer:
if you meant factor then 1, 2, 3 and 6
Answer:
1,2,3,6
Step-by-step explanation:
A factor of a number is any number that can go evenly into another number.
1 x 6 = 6
2 x 3 = 6
So, 1,2,3,6 are factors of 6
Tell me if I wrong.
If right, can I have brainliest
What is y+6=1/3(x-9) written in slope-intercept form?
Slope intercept form is y = mx + b.
y + 6 = 1/3(x - 9)
y + 6 = 1/3x - 3
y = 1/3x - 9
Hope this helps!! :)
Answer:
[tex]y = 1/3x - 9[/tex]
Step-by-step explanation:
Step 1: Rewrite in slope-int form
[tex]y + 6 = 1/3(x - 9)[/tex]
[tex]y + 6 = 1/3x - 3[/tex]
[tex]y + 6 - 6 = 1/3x - 3 - 6[/tex]
[tex]y = 1/3x - 9[/tex]
Answer: [tex]y = 1/3x - 9[/tex]
PLwz help thank youuuuuuuuuuuu
y = |x|
This is absolute value because it's a v-shape.
Expand the following:
a) x(x + 5)
b) x(3x – 1)
c) 2x(2x + 3)
d) 5x(x – 3y)
Answer:
[tex] {x}^{2} + 5x[/tex]
[tex] {3x}^{2} - x[/tex]
[tex] {4x}^{2} + 6x[/tex]
[tex] {5x}^{2} - 15xy[/tex]
Which polynomial has zeros of 2, 5, and -4?
•
A. (x + 2)(x + 5)(x - 4)
B. (2x - 4)(x + 5)(x + 4)
c. 6 - 2)(x - 5)(x - 4)
D. (2x - 4)(x - 5)(x + 4)
The polynomial has zeros of 2, 5, and -4 is option (d) (2x - 4)(x - 5)(x + 4).
What is polynomial?A polynomial is a mathematical equation made up of indeterminates and coefficients and uses only addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
How to find the correct polynomial?To find a polynomial that has zeros 2, 5, and -4 substituted x = 2, 5, and -4 in a polynomial.
By substituted x = 2, 5, and -4 in a polynomial (2x - 4)(x - 5)(x + 4).
(a) For x=2.
The polynomial is
(2(2) - 4)(2- 5)(2 + 4) = (4- 4)(-3)(6)
= 0×-3×6
= 0
(b) For x=5.
The polynomial is
(2(5) - 4)(5 - 5)(5 + 4) = (10-4)(0)(9)
= 6×0×9
= 0
(c) For x=-4.
The polynomial is
(2(-4) - 4)(-4 - 5)(-4 + 4) = (-8-4)(-9)(0)
= -`12×-9×0
= 0
Since (2x - 4)(x + 5)(x + 4) has zeros of 2, 5, and -4
For incorrect options
By substituted x = 2, 5, and -4 in a polynomial (x + 2)(x + 5)(x - 4), (2x - 4)(x + 5)(x + 4) and (6x - 2)(x - 5)(x - 4) is not equal to zero therefore (a), (b) and (c)is not correct option.
Learn more about polynomial here: https://brainly.com/question/11536910
#SPJ2
The correct polynomial with zeros of 2, 5, and -4 is represented by Option C, which is (x - 2)(x - 5)(x + 4), even though there is a typo in the option provided.
Explanation:The zeros of a polynomial are the values for which the polynomial evaluates to zero. These are also the solutions to the equation obtained by setting the polynomial equal to zero. Given the zeros of 2, 5, and -4, we can form a polynomial by finding the factors associated with each zero and then multiplying those factors together.
The factor associated with the zero 2 is (x - 2), the factor for the zero 5 is (x - 5), and the factor for the zero -4 is (x + 4). Multiplying these factors will give us the polynomial that has these zeros:
P(x) = (x - 2)(x - 5)(x + 4).
Comparing this expression with the options provided:
Option A is incorrect because it has factors of (x + 2) and (x - 4), implying zeros of -2 and 4.Option B is incorrect because it has the factor of (2x - 4), which simplifies to (x - 2), but includes the incorrect (x + 4).Option C is correctly formed with (x - 2)(x - 5)(x + 4), despite the typo, and represents the polynomial with the given zeros.Option D is incorrect, similar to option B.Therefore, the correct answer is Option C, which is (x - 2)(x - 5)(x + 4).
For homework, Anya had to find the width of a bedroom after the scale changed from 1 inch : 4 feet to 1 inch : 7 feet. Her work is shown below.
Answer:
The correct answer is A!!
Step-by-step explanation:
Answer:
the first one
Step-by-step explanation:
a
Can someone please give me the right answer to this question please???
Answer:
x=87 degrees
Step-by-step explanation:
Answer:
The answer is 87 degrees.
Step-by-step explanation:
All angles in a triangle add up to 180 degrees
37 + 56 = 93
180 - 93 = 87
For the sides, round your answer to the nearest tenth.
DE =
EF =
DF =
Is the triangle scalene, isosceles, or equilateral?
HELPP!!
Answer:
it should be scalene
Step-by-step explanation:
DE: [tex]\sqrt{90}[/tex]
^^ [tex]\sqrt{(-1-8)^{2}+ (-3--6)^{2} }[/tex]
[tex]\sqrt{-9^{2} +3^{2}[/tex]
[tex]\sqrt{81+9}[/tex]
EF:[tex]\sqrt{65}[/tex]
^^[tex]\sqrt{(-2+1)^{2} + (5+3)^{2} }[/tex]
[tex]\sqrt{-1^{2}+8^{2}[/tex]
[tex]\sqrt{1+64}[/tex]
DF= [tex]\sqrt{101}[/tex]
^^
2x + y = 5
x + y = 4
O A. x = 1, y = 3
O B. x = 1, y = 5
OC. x = 3, y = 1
O D. x = 9, y = -5
Answer:
A. x=1, y=3
Step-by-step explanation:
you have to isolate y in the bottom equation in order to put it into the top equation. heres what i did:
we will start with the bottom equation, x+y=4. then, subtract x on both sides of the equation. this will isolate y. now, we have the equation; y=4-x.
next, we are going to substitute our new bottom equation in where y is on the top. it looks like this: 2x+(4-x)=5. then, we are going to get rid of the parenthesis, so our equation is: 2x+4-x=5. to solve this, we have to combine like terms, so we will combine the x terms: x+4=5. now, isolate the variable. to do this, we have to take away 4 from each side so we can get x alone: x=1.
so now that we have a value for x, we can use that to find y. we can actually substitute our x-value into the bottom equation to make it easier: 1+y=4. next, we have to isolate the variable, which is y. this gives us the final answer: y=3.
i hope that this explanation helped with your struggles, it took me awhile to type out and i really tried hard. stay safe and good luck with your class!
Two basketball players average the same number of points per game. What information would be most helpful in determining
which player's game performances show the least variability?
the most and least points each player has scored in a game
the number of games each player has played
O the average number of points each players team scores per game
the total number of points each player has scored
Answer:
the average number of points each team scores per game
Step-by-step explanation:
Answer:
B. the number of games each player has played
Step-by-step explanation:
PLEASE ANSWER!!! I NEED HELP!!!
Answer:
Third Option
Step-by-step explanation:
sqrt(13 = 3.6055512754639893
3.6
The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A.
Average Daily Temperature
Jan. 1 - 1900-1934
City A
Number of Years
20
22 24 26 28
Average Daily Temperature
The mean of the temperatures in the chart is 24° with a standard deviation of 4° Which temperature is within one standard
deviation of the mean?
Save and Fxit
25 years had temperatures within one standard deviation of the mean.
What is standard Deviation?The term "standard deviation" (or σ) refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Given:
Data for the average daily temperature on January 1 from 1900 to 1934 for city A.
Mean u = 24°C
standard deviation σ = 4°C
Now, Interval for 1 standard deviation ( σ ):
[ u - σ , u + σ ]
[ 24 - 4 , 24 + 4 ]
[ 20 , 28 ] °C
Now, determine the number of years the temperature T lied in the above calculated range: [ 20 , 28 ].
T1 = 20 , n1 = 2 years
T2 = 21 , n2 = 3 years
T3 = 22 , n3 = 2 years
T4 = 23 , n4 = 4 years
T5 = 24 , n5 = 3 years
T6 = 25 , n6 = 3 years
T7 = 26 , n7 = 5 years
T8 = 27 , n8 = 2 years
T5 = 28 , n9 = 1 years
and, The total number of years:
∑ni = n1 + n2 + n3 + n4 + n5 + n6 + n7 + n8 + n9
= 2 + 3 + 2 + 4 + 3 + 3 + 5 + 2 + 1
= 25 years
Learn more about standard deviation here:
https://brainly.com/question/23907081
#SPJ7
Tomás is enlarging a square with a side length of 15 cm using this scale factor and scale drawing.
Scale factor = 2 centimeters: 7 meters. A square with side lengths of 15 centimeters.
Which proportion would Tomás use to solve for the side length (x) of the enlarged square in meters?
Answer:
[tex]\frac{2 CM}{7 M} = \frac{15 CM}{X M}[/tex]
Step-by-step explanation:
I did the assignment.
The side length (x) of the enlarged square in meters has a scale factor will be 52.5 meters.
What is dilation?Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
Tomás is enlarging a square with a side length of 15 cm using this scale factor and scale drawing.
Scale factor = 2 centimeters: 7 meters. A square with side lengths of 15 centimeters.
Let x be the dilated length.
Then we have
[tex]\rm \dfrac{15}{x} = \dfrac{2}{7}\\\\x \ \ = 52.5[/tex]
More about the dilation link is given below.
https://brainly.com/question/2856466
Luca wants to paint the back wall of his bedroom, and
he needs to know the area to determine the amount of
paint to buy What is the area of the wall?
Answer:
The answer is 75 ft^2
Step-by-step explanation:
I did it on
e
d
g
e
n
u
i
t
y
Answer:
The answer is 75
Step-by-step explanation:
the guy above me was correct
Sharon drinks 2/3 of 1/2 of lemonade. How much lemonade did Sharon drink?
Answer: The answer is 1/3 because you simplify your answer, and the answer is 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
According to the question
Sharon drinks 2/3 of 1/2 of lemonade
So let's solve
To determine the amount Sharon's drinks
2/3 of 1/2
2/3×1/2
2/6
1/3
Therefore the final answer is 1/3
What is the answer to this
Answer:
I'm not totally sure but i want to help as best i can the graphs i narrowed it down to are a and c because the equation is less than or equal to its a dotted line and i think it would be answer c
Step-by-step explanation:
Before soccer practice Allyson jogs around the field that measures 100 yards by 65 yards twice. How far will she jog?
Answer:
she will jog 660
Step-by-step explanation:
(100+65)×2=1 lap
330×2=2 laps (660yards)
Final answer:
Allyson will jog around the perimeter of the soccer field twice, which totals 660 yards.
Explanation:
Allyson is jogging around a soccer field that has dimensions of 100 yards long and 65 yards wide. To find out how far she will jog, we need to calculate the perimeter of the field and then multiply it by the number of times she jogs around it.
Calculating the Perimeter:
The perimeter P of a rectangle is given by P = 2(length + width). In this case:
Length (L) = 100 yardsWidth (W) = 65 yardsSo the perimeter of the soccer field is:
P = 2(100 yards + 65 yards) = 2(165 yards) = 330 yards.
Total Distance Jogged:
Since Allyson jogs around the field twice, the total distance she will jog is:
Total Distance = Perimeter × Number of Laps = 330 yards × 2 = 660 yards.
Therefore, Allyson will jog a total distance of 660 yards.
Emily purchased a couch, loveseat, in the chair for $2000. The Loveseat cost twice as much as the chair, and the couch cost $600 more than the love seat. Find the cost of the couch, loveseat, and chair.
Answer:
Chair $280
Loveseat $560
Couch $ 1,160
Step-by-step explanation:
chair = x
loveseat=2x
couch = 2x + 600
x +2x + 2x +600 = 2000
5x + 600 =2000 subtract 600 from both sides
5x =1400 divide by 5
x = $280
Chair is the value of x =$280
Loveseat is twice the value of x = 2 x $280 =$560
Couch is twice the value of x plus $600 = $560 + $600
The cost of a chair, the cost of a loveseat, and the cost of a couch are $280, $560, and $1,160 respectively.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
Emily purchased a couch, loveseat, in the chair for $2000.
The Loveseat cost twice as much as the chair, and the couch cost $600 more than the love seat.
Let
The cost of the chair is x, then the loveseat is 2x and the cost of the couch is 2x + 600.
Then
The sum of the cost of the chair, loveseat, and couch is $2000.
[tex]x + 2x + 2x + 600 = 2000\\[/tex]
On simplifying, we have
x = 280
Then
The cost of the chair = x = $280.
The loveseat = 2x = 2(280) = $560
The cost of the couch = 2x + 600 = 2(280) + 600 = $1,160
Thus, the cost of the chair, loveseat, and couch is $280, $560, and $1,160 respectively.
More about the linear system link is given below.
https://brainly.com/question/20379472
A cone shaped tepee has a radius of 4 feet and a slant height of 7feet. If joe is six feet tall, determine whether joe is shorter or taller than the height of the tepee.
Answer:
Therefore Joe is taller than the height of the tepee.
Step-by-step explanation:
Cone:
Cone is three dimensional shape. It has an vertex.Slant height of an object is a height that measured along a lateral surface from the vertex to the the base. The slant height of a cone is = [tex]\sqrt{height^2+radius^2}[/tex]The height of a cone is [tex]=\sqrt{slant\ height ^2- radius^2[/tex]The volume of a cone = [tex]\frac{1}3 \pi r^2 h[/tex]Lateral surface area is [tex]=\pi r l[/tex]
Given that,
A cone shaped tepee has a radius of 4 feet and slant height of 7 feet.
The height of the cone is [tex]=\sqrt{slant\ height ^2- radius^2[/tex]
[tex]=\sqrt{7^2-4^2}[/tex]feet
[tex]=\sqrt{33}[/tex] feet
≈5.74 feet
Given that, Joe is 6 feet tall.
Since 6 feet> 5.74 feet
Therefore Joe is taller than the height of the tepee.
Answer: Joe is taller than the tepee
I need The answers for U,V and W
Answer:
U=30
W=2.25
tho I’m not sure about v
Answers:
U: 5 + 13 + 12 = 30 cm
V: 8 + 7 + 4 + 3,5 = 22,5 ft
W: 2 1/8 + 6 3/4 + 2 = 2 + 0,125 + 6 + 0.75 + 2 = 10,875 mm
331 students went on a field trip. six buses were filled and 7 students travled in cars. how many students were in each bus
Answer:
54 Students in each bus
Step-by-step explanation:
331-7= 324
324/6 = 54
you have to initially subtract 7 fro 331 because they took cars. the rest of the students took the 6 buses.
now you are left with 324/6 which gives you 54 students per bus
The total weight of the golf balls from Julio's golf bag was 273 grams. If each golf ball weighed 45.5 grams, which graph
shows the weight of golf balls as it relates to the number of golf balls?
Weight of Golf Balls
Number of Golf Balls
Weight (in grams)
45.5
273
Answer:
Attached graph
Step-by-step explanation:
Since all the six balls have same weight and the total weight is given as 273g, then weight of one ball will be
273/6=45.5 g
1 ball=45.5 g
2 balls =2*45.5=91 g
3 balls =3*45.5=136.5 g
4 balls=4*45.5=182 g
5 balls =5*45.5=227.5 g
6 balls =6*45.5=273 g
Since the graph to select is not given, I attached ny own sketch. Any other graph with these corresponding figures in x and y axis as indicated will be correct.
Answer:
A
Step-by-step explanation:
Since all the six balls have same weight and the total weight is given as 273g, then weight of one ball will be
273/6=45.5 g
1 ball=45.5 g
2 balls =2*45.5=91 g
3 balls =3*45.5=136.5 g
4 balls=4*45.5=182 g
5 balls =5*45.5=227.5 g
6 balls =6*45.5=273 g
Since the graph to select is not given, I attached ny own sketch. Any other graph with these corresponding figures in x and y axis as indicated will be correct.
Please help!
I'm having a tuff time figuring this out.
Answer:
x = 17
Step-by-step explanation:
Since the triangles are congruent
<I = <P
3x+4 = 72-x
Add x to each side
3x+4+x = 72-x+x
4x+4 = 72
Subtract 4 from each side
4x+4-4 = 72-4
4x = 68
Divide each side by 4
4x/4 = 68/4
x = 17