Find the coordinates of the midpoint of the segment. MN with endpoints M (4, 10) and N(-2,-6)

Mathematics

1 answer:

Georgia [21]2 years ago

3 0

Answer:

The answer is

Step-by-step explanation:

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

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )$

where

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

From the question the points are

M (4, 10) and N(-2,-6)

The midpoint is

$M = ( \frac{4 - 2}{2} , \: \frac{10 - 6}{2} ) \\ = ( \frac{2}{2} \: , \: \frac{4}{2} )$

We have the final answer as

Hope this helps you

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Which domain restrictions apply to the rational expression? x^2+4x+4 / x^2−4 Select each correct answer x≠−4 x≠−2 x≠0 x≠2 x≠4

Degger [83]

The correct answers are x≠2 and x≠(-2).

Domain restrictions are any points in the domain where the function will not have a value. This basically means that it's a point where x won't work in the function.

For the numerator, any value will work for x. We can have a value of 0 in the numerator, or a positive, negative, or decimal number.

However, the denominator cannot equal 0. This is because a fraction bar represents division, and we cannot divide by 0. The values that make the denominator 0 can be found by:

x²-4=0

Add 4 to both sides:
x²-4+4 = 0+4
x² = 4

Take the square root of both sides:
√x² = √4

x = 2 or x = -2.

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