Question

Find point Z on RS such that the ratio of RZ to ZS is 1:3

Answer 1

Using proportions, the coordinates of point Z are given as follows:

(1, 1.25).

What is the missing information?

To solve this problem, we need the coordinates of points R and S. Researching the problem on a search engine, they are given as follows:

• R(-1,1).

• S(7,2).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The ratio of RZ to ZS is 1:3, which means that Z is 1/4 of the way from R to S, and the following equation can be built:

Z - R = 1/4(S - R)

The x-coordinate of Z is given as follows:

x + 1 = 1/4(7 + 1)

x + 1 = 2.

x = 1.

The y-coordinate of Z is given as follows:

y - 1 = 1/4(2 - 1)

y - 1 = 0.25

y = 1.25.

The coordinates of point Z are given as follows:

(1, 1.25).

More can be learned about proportions at brainly.com/question/24372153

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