Question

refer to the number line. the ratio of fx to xk is 1:1. which point is located at x? a) j b) g c) h d) k incorrect 2 tries left. please try again.

Explanation:

Step1: Determine the distance between F and K

The coordinate of F is - 15 and the coordinate of K is - 2.5. The distance FK=|-15 - (- 2.5)|=|-15 + 2.5| = 12.5.

Step2: Use the ratio

Since the ratio of FX to XK is 1:1, X is the mid - point of FK.

Step3: Calculate the coordinate of X

The formula for the mid - point of two points \(a\) and \(b\) on a number line is \(x=\frac{a + b}{2}\). Here \(a=-15\) and \(b = - 2.5\), so \(x=\frac{-15+( - 2.5)}{2}=\frac{-15 - 2.5}{2}=\frac{-17.5}{2}=-8.75\). Looking at the number line, the point H is closest to this value.

Answer:

C) H