What is the slope of the line?
The graph shows the relationship between the volume
of a rectangular prism and the volume of a square
pyramid with an identical base and height.
0-
Prism vs. Pyramid
3
10
9
B
8
03
02
Prism Volume (cubic units)
2
1
23
5
6 7
8
9 10

Answers

Answer 1

Answer:

The slope of the line is 3.

Step-by-step explanation:

Answer 2

The slope of the line between the volume of a rectangular prism and the volume of a square pyramid is given by m = 3

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 3 )

Let the second point be Q ( 2 , 6 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 6 - 3 ) / ( 2 - 1 )

Slope m = 3 / 1

m = 3

Therefore , the value of m = 3

Hence , the slope of the line is m = 3

To learn more about equation of line click :

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What Is The Slope Of The Line?The Graph Shows The Relationship Between The Volumeof A Rectangular Prism

Related Questions


Combine like terms.
y+6 - 2 – 4y^3– 5y + 2y^3 – 2y^3

Answers

Answer: −4[tex]y[/tex] + 4 − 4[tex]y^{3}[/tex]

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Collect like terms.

([tex]y[/tex] − 5[tex]y[/tex]) + (6 − 2) + (−4[tex]y^{3}[/tex] + 2[tex]y^{3}[/tex] − 2[tex]y^{3}[/tex])

Step 2: Simplify.

−4[tex]y[/tex] + 4 − 4[tex]y^{3}[/tex]

~I hope I helped you! :)~

Evaluate the following.

Answers

Answer:

5

Step-by-step explanation:

|8| - |14 - 11|

8 - 3

5

the answer is 5 because 14 - 11 is 3 & 8 -3 is 5

I need to write a proportion to the following problem:

3 folders cost $2.91. What written proportion would help determine the cost of 2 folders?​

Answers

Answer:

The cost of two folder is $ 1.94

Solution:

Given that 3 folders cost $ 2.91

We have to determine the cost of 2 folder

From given,

Cost of 3 folder = $ 2.91

 

To find the cost of 1 folder, divide 2.91 by 3

Thus cost of 1 folder is $ 0.97

We are asked to find cost of two folders.

Therefore, multiply cost of 1 folder by 2

Thus cost of two folder is $ 1.94

if 2m-6=8m them 3m= what​

Answers

Answer:

C. -3

Step-by-step explanation:

First, you would subtract 2m on both sides in the first equation, to get 6m = -6. Since you wan to find 3m, just divide -6 by 2 to get -3.

Yeahhhhhhh It is -3.

a car travels 180 miles in 3 hours what is the rate of it

Answers

Answer:

60mph

Step-by-step explanation:

60 mph.



if you divide 180 by 3 hours,
your answer should be 60 mph.

Tina is five years older than her brother Tom. The sum of their ages is 51 write an equation

Answers

Let:
T=age of Tina
Y= age of Tom
Work:
Y=5+T
T=28 yrs
Y=23
I’ll let I find the equation:)

please help! i will give brainliest!

Answers

Answer:

2,2

-10

that's the answer to both of them

Which type of line of symmetry does the figure have?

Answers

Answer:vertical

Step-by-step explanation:

Find the distance and midpoint for the points (3,4) and (19, 16).
The distance is
The midpoint is a (, )

Answers

Given parameters:

   Coordinates of the points =  (3,4) and (19, 16)

Unknown:

The distance between the points = ?

The midpoint  = ?

Solution:

  The distance between two points can be mathematically solved using;

    D  = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]

 where  x₁  = 3, x₂  = 19  and y₁  = 4, y₂  = 16

Input the parameters and solve;

   D  = [tex]\sqrt{(19 - 3)^{2} + (16 - 4)^{2} }[/tex]   = 20

Midpoint;

    The expression is given as;

     x[tex]_{m}[/tex] , y[tex]_{m}[/tex]  = [tex]\frac{x_{1} + x_{2} }{2}[/tex]  , [tex]\frac{y_{1} + y_{2} }{2}[/tex]

         input the parameters and solve;

                   = [tex]\frac{3 + 19}{2}[/tex]  , [tex]\frac{4 + 16}{2}[/tex]

                   = 11 , 10

The midpoint is (11, 10)

 

Is this equation correct? 63 ⋅ 73 = 423



Yes; 63 • 73 is equal to (6 • 7)3 or 423.



Yes; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).



No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).



No; 63 • 73 is equal to (6 • 7)3 + 3 or 426.

Answers

Answer: Yes; 63 • 73 is equal to (6 • 7)3 or 423.

Step-by-step explanation:This is the answer because if you multiply the 6 and 7 you get 42 and you leave the exponent which in this case is 3 leaving you with 42^3

3g + 5 = 7g + 4 asap and please show work!!!!

Answers

0.25 is the answer which is the same as 1/4 just as a decimal

The solution of the equation 3g + 5 = 7g + 4 will be 1/4.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

3g + 5 = 7g + 4

Simplify the equation, then we have

3g + 5 = 7g + 4

- 7g + 3g = 4 - 5

- 4g = - 1

g = (-1) / (-4)

g = 1 / 4

The solution of the equation 3g + 5 = 7g + 4 will be 1/4.

More about the solution of the equation link is given below.

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Devante invests $4000 in two different accounts. The first account paid 6 %, the second account paid 11 % in interest. At the end of the first year he had earned $320 in interest. How much was in each account?

$
at 6 %

$
at 11 %

Answers

Answer:

Let x represent the amount of $ in the 4% account and y in the 2% account.

Then x + y = $4000 (total savings).

Interest at 4% would be  x*0.04*1 = 0.04x, and

Interest at 2% would be  y*0.02*1 = 0.02y.

Then 0.04x + 0.02y = $140 interest, total.  

We must solve this system of linear equations.

Mult. 0.04x + 0.02y = $140 by 100 to remove the fractions:

4x + 2y = $14000       We already know that x + y = $4000, so y = $4000-x.

Then  4x + 2y = $14000 becomes  4x + 2($4000-X) = $56000.

Simplifying,                                     4x + $8000 - 2x = 14000.

                                                       2x                      = $6000

                                                         x     =     $3000 at 4%

                                                         y     =      $1000 at 2%

i hope it helps :)

Step-by-step explanation:

Which correctly describes the points of discontinuity of the function? Select all that apply.
A. There is an infinite discontinuity at x equals negative 2.
B. There is a jump discontinuity at x equals negative 2.
C. There is a removable discontinuity at x equals negative 1.
D. There is an infinite discontinuity at x = 1.
E. There is a jump discontinuity at x = 1

Answers

Answer:

A, C, and E

Step-by-step explanation:

PLEASE HELPPPPPPP THIS IS SO HARDDDDD

Answers

Add all the assets and subtract them with the liabilities

Is there a proportional relationship between x and y?
5
10
6
9
2
Cans of Paint (x)
Bird Houses Painted (y)
15
30
18
27
6
Yes, k =2
Yes, k=3
No

Answers

Answer:

Unnnnnnnnnnnnnnnnnnnnnnnnbnbnnnn

Yes K=3 bc
3 times 5 is 15
3 times 10 is 30
3 times 6 is 18
3 times 9 is 27
And 3 times 2 is 6

The number of ferryboat trips f(c), needed to transport c cars in 1 day can be found using the function f(c) = c/20 To transport the maximum 1000 cars, the ferry makes 125 daily trips, What is the range of the function?

Answers

Answer:

F(C)<250

Step-by-step explanation:

To solve the problem we need to remember that a function is a relationship between an input usually called "x" (domain) and an output, usually called "y" and it's also the range of the function.

F(X)=y

We are given a relationship (a function) between the ferryboat trips "c" and the number of cars transported per day.

f(C)=C/20

Hence, the range of the function knowing that there are not more than 5000 cars transported by the ferryboat (daily) the range is all the numbers that are less or equal to 250.

F(C)<250

:)!

PLZ HELP
Explain how to multiply mixed numbers.

Answers

Step-by-step explanation:

Change each number to an improper fraction.

Simplify if possible.

Multiply the numerators and then the denominators.

Put answer in lowest terms.

Check to be sure the answer makes sense.

not sure need help ​

Answers

Answer:

9^8

43046721

Step-by-step explanation:

Nvm it’s Alrwasy answered

f(x) = -x? – 10x
Find f(-7)

Answers

Answer:

f(-7) = 21

Step-by-step explanation:

f(-7)= - (-7)^2 - 10 (-7) = 21

What’s another name for plane P?

Answers

Answer:

trapezium maybe

Step-by-step explanation:

plzz mark me brainliest, need it to level up

Bruce walks 2/3mile in 1 .4hour. What is his speed in miles per hour? Show your work.

Answers

Answer:

10/21 or 0.476 miles per hour

Step-by-step explanation:

If you divide 2/3 by 1.4 (or 14/10), you will get miles per hour.  

2/3 ÷ 14/10 = 2/3 x 10/14 = 20/42 = 10/21 = 0.476

How to round 86.415 to the nearest whole number end point

Answers

You would round this number by rounding each number (until the whole number) from right to left. So it would change from 86.415>86.42>86.4>87.

Hope this helps, if not, comment below please!!!

Answer:

86

Step-by-step explanation:

I'm not completely sure what this question is asking for. But if you want to round 86.415 to the nearest whole number, it would be 86, since any number less than 5 you would round down, and the 4 in the tenths place is less than 5.

Joseph is tracking the progress of her plant's growth. Today the plant is 8 cm high. The plant grows 1.5 cm per day
What is the linear model that represents the height of the plant after d days.

Answers

Answer:

y = 1.5x(or d) + 8

Step-by-step explanation:

1.5 is the slope and 8 is the y intercept(the constant term)

A student evaluated −4 + (−9 12) and got an answer of 5 12. What might the student have done wrong? explain in details

Answers

Answer:

[tex]the \: students \: calculation \: was \\ based \:on\: addition \: of \: the \: numbers \\ without \: cosidering \: thier \: nagative \: signs.[/tex]

Please help ASAP!! Will give brainliest if right

If DF ≈ DG, find mD.

A. 34°
B. 46°
C. 67°
D. 134°

Answers

Answer:

C : 67°

Step-by-step explanation:

The angles are equal to each other therefore they would all be the same measurement which is 67°

Hope this helps

Answer:

The answer is C.

Hope this helps

n Over 33 = 4 Over 11
a. n = 90 and three-fourths
c. n = 1 and one-third
b. n = 16
d. n = 12

Answers

Answer:

d. n = 12

Step-by-step explanation:

n/33 = 4/11

cross-multiply:

11n = 132

divide both sides by 11:

n = 12

A 2-column table with 5 rows. Column 1 is labeled Key Words with entries three, times, the difference of, nine, a number. Column 2 is labeled Replace With entries 3, times (minus), 9, h.
Write and evaluate the expression. Then, complete the statement.



three times the difference of nine and a number



Write and evaluate the expression. Then, complete the statement.

three times the difference of nine and a number

The value of the expression when h = 5 is ????

Answers

Answer:

12

Step-by-step explanation:

3(9-h) is the equation used for this problem h=5

9-5=4    3x4=12

hope this helps!

Please help me I need it right now

Answers

Answer:

X+y=180, Y=Z, X+Z=180

Step-by-step explanation:

Hope this helps. i remember doing this.

Naron is 3 times older than his sister. In 2 years, Naron will be twice as old as his sister. How old is each now?

Answers

Answer:

A possible answer is that Naron is 6 yrs old and his sister is 2 yrs old.

Step-by-step explanation:

6 is 3 times as much as 2

(6+2)/2=2+2

8/2=4

Answer:

Naron is 6 years old and his sister is 2 years old

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLIEST! IGNORE WHERE IT SAYS 6 POINTS, THATS HOW MUCH ITS WORTH IN THE GRADEBOOK!

Answers

Answer: x = 13

Step-by-step explanation:

They are equal so set them equal and solve for x.

(4x+1) = 53

4x = 52

x = 13

Answer:

Since the lines l and m are parallel,

angle (4x + 1) and angle 53 are both corresponding angles

We know that corresponding angles are equal, so:

4x + 1 = 53

4x = 52

x = 13

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