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soldier1979 [14.2K]
3 years ago
10

The location of the mid point between (-15,4) (2,-10)

Mathematics
1 answer:
frozen [14]3 years ago
5 0

Answer:

The answer is

<h2>( -  \frac{13}{2} , \:  - 3)</h2>

Step-by-step explanation:

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

<h3>M  = ( \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )</h3>

where

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

From the question the points are

(-15,4) (2,-10)

The midpoint is

<h3>M = ( \frac{ - 15 + 2}{2}  , \:  \frac{4 - 10}{2}  ) \\  = ( -  \frac{13}{2} , \:  -  \frac{6}{2} )</h3>

We have the final answer as

<h3>( -  \frac{13}{2} , \:  - 3)</h3>

Hope this helps you

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What’s is ittttt I neeed helppp
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Five years ago, Tom was one third as old as his father was then.In 5 years, Tom will be half as old as his father will be then.
sleet_krkn [62]

Answer:

The father is 35years old and the son Tom is 15years old

Step-by-step explanation:

Let the father's be y

Let Tom's age be T

5 years ago:

The father's age is: y — 5

Tom's age:

T— 5.

But Tom's age was one third the father's age. This is written as:

T — 5 = 1/3(y — 5)

3(T — 5) = y — 5

3T — 15 = y — 5

3T — y = — 5 + 15

3T — y = 10 (1)

In 5years time:

The father's age is:

y + 5

Tom's age:

T + 5

But in 5years time, Tom will be half as old as his father. This is written as:

T + 5 = 1/2(y + 5)

2(T + 5) = y + 5

2T + 10 = y + 5

2T — y = 5 — 10

2T — y = — 5 (2)

Therefore, the equations are

3T — y = 10 (1)

2T — y = — 5. (2)

Solving by elimination method:

Subtract equation (2) from (1)

3T — y = 10

— (2T — y = — 5)

T = 15

Substituting the value of T into equation (1)

3T — y = 10

3(15) — y = 10

45 — y = 10

45 — 10 = y

y = 35

Therefore,

The father is 35years old and the son Tom is 15years old

5 0
4 years ago
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