Question

question 8 unit 1 practice test incorrect 1 try left. try once more refer to the number line. find the coordinate of point x such that the ratio of mx to xj is 3:1. m 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 j

Explanation:

Step1: Identify the coordinates of M and J

The coordinate of M is 2 and the coordinate of J is 19.

Step2: Use the section - formula for a one - dimensional number line

The formula to find the coordinate \(x\) of a point that divides the line segment joining \(m\) and \(j\) in the ratio \(a:b\) is \(x=\frac{am + bm}{a + b}\). Here, \(a = 3\), \(b = 1\), \(m=2\) and \(j = 19\). So \(x=\frac{3\times19+1\times2}{3 + 1}\).

Step3: Calculate the value

First, calculate the numerator: \(3\times19+1\times2=57 + 2=59\). Then, divide by the denominator: \(\frac{59}{4}=14.75\).

Answer:

14.75