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frosja888 [35]
3 years ago
5

What is the midpoint of a segment whose endpoints are (–4, 6) and (2, 5)?

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0
The midpoint of a segment refers to the point in the middle of any segment. This can be find by using the formula, M=(x1+x2/2,y1​+y2/2​​).

In this exercise is given that a segment has coordinates (-4,6) and (2,5). It is asked to find the midpoint of the segment, to do that you should substitute the given coordinates into the Midpoint Formula.

M=(x1+x2/2,y1+y2/2)
M=(-4+2/2,6+5/2)
M=(-2/2,11/2)
M=(-1,11/2) or (-1,5.5)

The midpoint of the segment is (-1,11/2), or letter A from the given choices.
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What is the value of A when we rewrite 2^x-6 + 2x as A * 2^x?
Leto [7]

Algebraic expressions are expressions that use numbers and variables

The value of A is 65/64

<h3>How to determine the value of A</h3>

The expression is given as:

2^{x - 6} + 2^x

Rewrite the expression as:

2^{x - 6} + 2^x = \frac{2^x}{2^6} + 2^x

Factor out 2^x

2^{x - 6} + 2^x = 2^x(\frac{1}{2^6} + 1)

Rewrite as product

2^{x - 6} + 2^x = 2^x * (\frac{1}{2^6} + 1)

The expression to compare with is given as: A * 2^x.

So, we have:

A * 2^x  =2^x * (\frac{1}{2^6} + 1)

Divide both sides by 2^x

A =\frac{1}{2^6} + 1

Take LCM

A =\frac{1 + 2^6}{2^6}

A =\frac{65}{64}

Hence, the value of A is 65/64

Read more about expressions at:

brainly.com/question/4344214

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2 years ago
I need an answer for each instance!!! Each a, b, and c is a different mini problem.
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