Question

On a number line, the line segment from Q to S has endpoints Q at 38 and S at 34. Point Rpartitions the line segment from Q to S in a 7:4 ratio. Find the coordinate of point R. Round youranswer to the nearest tenth if necessary.

Answer 1

Q at 38 and S at 34

QR : RS = 7 : 4

QS = 38 - 34 = 4

So,

QR : RS : QS

7 : 4 : 11

? : ? : 4

So, RS = 4 * 4 / 11 = 16/11 = 1.45

so,

The coordinates of R = 34 + 1.45 = 35.45

rounding to the nearest tenth

The answer is R at 35.5