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3 years ago

What’s the answer to all of it

Mathematics

1 answer:

GaryK [48]3 years ago

6 0

Hello there! You can structure these word problems correctly, by looking at the key words and tying them in to write the problem correctly. Number is represented by the variable "n". With that being said, if you do it right, here are the answers:

1. n - 18
2. n - 16
3. x + 12 = 21
4. x * 12 = 46
5. 6 + 12
6. 2 * 8
7. 2n + 6
8. 8/2n
9. 7 + x
10. x * 11 = 33

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3 years ago

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

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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).

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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).

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3 years ago

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Step-by-step explanation:

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