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Illusion [34]
2 years ago
6

20. The table shows the numberof days you keep a rented movie before returning it and the total cost of renting the

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
5 0

Step-by-step explanation:

<u>According to given table we have pairs of points:</u>

  • (4, 6.00), (5, 8.25), (6, 10.50)

<u>The rate of change is:</u>

  • (8.25 - 6.00)/(5 - 4) = 2.25

or

  • (10.50 - 8.25)/(6 - 5) = 2.25

<u>It is 2.25 and the meaning is:</u>

  • Rental per day is $2.25
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Find the coordinates of the missing endpoint if m is the midpoint of ab. a(-9, -4) and m(-7, -2.5)
Julli [10]

Answer:

The coordinates of the point b are:

b(x₂, y₂)  = (-5, -1)

Step-by-step explanation:

Given

As m is the midpoint, so

m(x, y) = m (-7, -2.5)

The other point a is given by

a(x₁, y₁) = a(-9, -4)

To determine

We need to determine the coordinates of the point b

= ?

Using the midpoint formula

\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

substituting (x, y) = (-7, -2.5), (x₁, y₁) = (-9, -4)

\left(-7,\:-2.5\right)=\left(\frac{x_2+\left(-9\right)}{2},\:\:\frac{y_2+\left(-4\right)}{2}\right)

Thus equvating,

Determining the x-coordinate of b

[x₂ + (-9)] / 2 = -7

x₂ + (-9) = -14

x₂ - 9 = -14

adding 9 to both sides

x₂ - 9 + 9 = -14 + 9

x₂ = -5

Determining the y-coordinate of b

[y₂ + (-4)] / 2 = -2.5

y₂ + (-4) = -2.5(2)

y₂ - 4 = -5

adding 4 to both sides

y₂ - 4 + 4 = -5 + 4

y₂ = -1

Therefore, the coordinates of the point b are:

b(x₂, y₂)  = (-5, -1)

6 0
2 years ago
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