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Anna [14]
2 years ago
13

What is the reason for each step in the solution of the equation?

Mathematics
1 answer:
alexdok [17]2 years ago
7 0
I think the answer is distributive property
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Find the value of r so that the line through (8,r) and (4,5) has a slope of -4
Ratling [72]

Answer:

r = - 11

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 4

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)

m = \frac{r-5}{8-4} = \frac{r-5}{4} = - 4 ( multiply both sides by 4 )

r - 5 = - 16 ( add 5 to both sides )

r = - 11

7 0
2 years ago
An aquarium owns 8 identical tanks. All together, the tanks can hold 90.2 gallons of water. How much water can each tank hold?
kobusy [5.1K]
11.275 gallons in each tank. 
7 0
3 years ago
Read 2 more answers
Which function has an inverse that is a function?
fredd [130]

Answer:

m(x)

Step-by-step explanation:

they would have to pass the horizontal line test and the vertical line test for both the origional and the inverse.

b(x) does not pass the horizontal line test in any of the y values over 3

d(x) does not pass the horizontal line test for y=-9

p(x) does not pass the horizontal line test for positive y values

and m(x) has only one corresponding x value for every y value

7 0
2 years ago
PLEASE HELP AND GIVE AN EXPLANATION A rectangular prism has a volume of 170 cm the length of the prism is 5 cm in the height of
IgorC [24]

Answer:

The width of the prism is 2 cm

Step-by-step explanation:

The given parameters are;

The volume of the prism = 170 cm³

The length of the prism = 5 cm

The height of the prism = 17 cm

The volume of the prism is given by the  relationship v = Length, l × Height, h × Width, w

Therefore;

The volume of the prism = 5 cm × 17 cm × w = 170 cm³

Which gives;

w = 170 cm³/(5 cm × 17 cm) = 170 cm³/(85 cm) = 2 cm

∴ The width of the prism = 2 cm.

7 0
2 years ago
Find the perimeter.<br> 15 in.<br> 12 in.<br> 8 in.<br> 9 in.<br> 14 in.
ololo11 [35]

Answer:

58 inches

Step-by-step explanation:

In order to find the perimeter of a shape, you must add up the total length of all the sides. 15 inches + 12 inches + 8 inches + 9 inches + 14 inches = 58 inches.

7 0
2 years ago
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