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larisa86 [58]
3 years ago
15

Find the midpoint of the line segment that has endpoints at (10,8) (-3,-10)

Mathematics
1 answer:
dem82 [27]3 years ago
7 0

Hey there! :)

Answer:

(3.5, -1).

Step-by-step explanation:

Use the midpoint formula to solve this problem:

(x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Plug in the coordinates given:

(\frac{10-3}{2}, \frac{8-10}{2})

Simplify:

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

Therefore, the coordinates of the mid-point are:

(3.5, -1).

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Combine Like Terms and Eliminate Parenthesis.<br>5z-[2z-(13z+8)]
katen-ka-za [31]

We need to start from the innermost parenthesis and work our way out.

The first parenthesis is 13z+8. These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).

So, we can take one step outwards, and we arrive to the square brackets. We have

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and 2z and -13z are like terms, so we can sum them:

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Finally we arrive to the whole expression, which is

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15/16-3/4 is 3/16. (1/8 simplified)

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