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Alina [70]
3 years ago
13

Point A is at (-1, -9) and point M is at (0.5, -2.5).

Mathematics
1 answer:
vladimir2022 [97]3 years ago
4 0

Answer:

Point B is located at point (2, 4)

Step-by-step explanation:

Since point M is at the center, you find the distance from point A and add that to the other side.

| -1 - 0.5 | = | -1.5 | = 1.5

| -9 - -2.5 | = | -6.5 | = 6.5

Now we can add that to point M to find point B

0.5 + 1.5 = 2

-2.5 + 6.5 = 4

Point B should be at (2, 4)

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Which set of points includes all of the solutions for y = 5/2x + 3/2?
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Answer:

Choice A: (x,\frac{5}{2}x+ \frac{3}{2} ). for all real numbers.

Step-by-step explanation:

We are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation, which are points (x,y) = (x,\frac{5}{2}x+ \frac{3}{2} ).

Looking at the other choices we see that choice B gives only 3 points, and regardless of whether they lie on the graph of y or not, this choice cannot be correct because 3 points are not all solutions.

The same goes for choice D.

And choice C is just the whole of x-y plane, therefore this cannot be the answer because not every point on the x-y plane is a solution to  y = 5/2x + 3/2

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