Question

Points m is the midpoint of FG. Can you determine the value of a?

Answer 1

Using the midpoint concept, it is found that the value of a is of a = 2.

What are the coordinates of the points?

Researching this problem on a search engine, the coordinates are given as follows:

• F(b + 1, a + 2).

• M(3,5).

• (2a, 3b+3).

What is the midpoint concept?

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

Hence the following system of equations can be built:

(b + 1 + 2a)/2 = 3.

b + 1 + 2a = 6.

b = 5 - 2a.

(a + 2 + 3b + 3)/2 = 5

a + 3b + 5 = 10

a + 3b = 5.

Since b = 5 - 2a, we have that:

a + 15 - 6a = 5.

5a = 10

a = 10/5

a = 2.

The value of a is of a = 2.

More can be learned about the mid-point concept at brainly.com/question/10956693

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