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sesenic [268]
3 years ago
14

Find the midpoint of the line segment joining the points (-2,-2) and (-4,9).

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
4 0

Answer:

The answer is

<h2>( - 3 \: , \:  \frac{7}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-2,-2) and (-4,9).

The midpoint is

M = ( \frac{ - 2 - 4}{2}  \:  , \:  \frac{ - 2 + 9}{2} ) \\  = ( -  \frac{6}{2}  \: , \:  \frac{7}{2} )

We have the final answer as

( - 3 \: , \:  \frac{7}{2} )

Hope this helps you

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Answer:

Quarters = q = 200

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Step-by-step explanation:

Let

Dimes = d

Quarter = q

Value of each Dime = 0.10

Value of each Quarter = 0.25

d + q = 956 (1)

0.1d + 0.25q = $125.60 (2)

From (1)

d = 956 - q

Substitute d = 956 - q into (2)

0.1d + 0.25q = $125.60

0.1(956 - q) + 0.25q = $125.60

95.6 - 0.1q + 0.25q = $125.60

- 0.1q + 0.25q = 125.60 - 95.6

0.15q = 30

Divide both sides by 0.15

q = 30 / 0.15

= 200

q = 200

Substitute q = 200 into (1)

d + q = 956

d + 200 = 956

d = 956 - 200

= 756

d = 756

Therefore,

Quarters = q = 200

Dimes = d = 756

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