3 years ago

Proofs how do you solve them

1 answer:

3 0

Proofs are... well... just that. They are your proof for why a certain property works or what you did to show your work. So essentially, you just do math like normal, a proof is showing what you did and why it works.

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M is the midpoint of CD. Given the coordinates of one endpoint C(10,-5) and the midpoint M(4, 0), find the coordinates of the ot

mash [69]

Answer:

D(-2, 5).

Step-by-step explanation:

We are given that M is the midpoint of CD and that C = (10, -5) and M = (4, 0).

And we want to determine the coordinates of D.

Recall that the midpoint is given by:

$\displaystyle M = \left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)$

Let C(10, -5) be (x₁, y₁) and Point D be (x₂, y₂). The midpoint M is (4, 0). Hence:

$\displaystyle (4, 0) = \left(\frac{10+x_2}{2} , \frac{-5+y_2}{2}\right)$

This yields two equations:

$\displaystyle \frac{x_2 + 10}{2} = 4\text{ and } \frac{y_2 - 5}{2} = 0$

Solve for each:

$\displaystyle \begin{aligned}x_2 + 10 &= 8 \\ x_2 &= -2 \end{aligned}$

And:

$\displaystyle \begin{aligned} y_2 -5 &= 0 \\ y_2 &= 5\end{aligned}$

In conclusion, Point D = (-2, 5).

5 0

3 years ago

Write an equation that you can use to solve for the height of the triangle (x). Notice that the perimeter is 48 feet.

MArishka [77]

A. 48 = 12 + 20 + x

If you use this equation then you can do 12 + 20 = 32 and then you can do 48 - 32 = 16 so x = 16

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3 years ago

the distance between Columbus Ohio and New York City is about 560 miles how many hours would it take the train to travel between

arlik [135]

How fast is the train going??

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4 years ago

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Circle the tens digit in each number 31, 94, 17

Georgia [21]

3 in 31, 9 in 96, 1 in 17.

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3 years ago

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Ricard lost 6 golf balls while playing yesterday. He bought a box of 12 golf balls ,then lost 4 on the course today . He now has

viktelen [127]

16, first you need to add on the four he lost to the 18 he ended with.

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4 years ago