The Mid - point of the line segment is at coordinates - M(- 7.5, 0.5)
We have two coordinate points - A(- 10, 2) and B(- 5, -1)
We have to find the midpoint of this line AB.
<h3>What is Mid - Point Theorem?</h3>
It states that a line with endpoint coordinates as -
and
has its mid - point at the coordinates -

According to question, we have -
First coordinate Point -
= (- 10, 2)
Second coordinate Point -
= (- 5, - 1)
Using the Mid - Point formula, we get -
=

Hence, the Mid - point of the line segment is at coordinates -
M(- 7.5, 0.5)
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Answer:
u = 7
Step-by-step explanation:
Using the slope intercept formula:

Substitute our values from the points and the known slope:

Now we multiply both sides by (8 - u) to isolate the x:
(8-u) x
= -7 (8 - u)
Next we add 56 to both sides:
-7 = -56 + 7u
Finish off by dividing both sides by 7:
7u = 49
u = 7
Given:
In 2010, the population of a town = 2000
Every year, it increase by 1.5%
To find the equation P(t) which represents the population of this town t years from 2010.
Formula
If a be the original population of a town and it increases by b% every year, after t year the population will be

Now,
Taking, a =2000, b = 1.5 we get,

or, 
Hence,
The population of this town t years from 2010 P(t) =
, Option D.
The slope of a line with those points is 1/6m. To find a perpendicular slope find the reciprocal of the slope of the first line. The slope is 6m.
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Answer:
4 = 1x
Step-by-step explanation:
(3x)9 = (4x)5
9 = (1x) 5
4 = 1x