refer to the number line. find the coordinate of point x on $overline{af}$ that is $\frac{1}{3}$ of the…
refer to the number line. find the coordinate of point x on $overline{af}$ that is $\frac{1}{3}$ of the distance from a to f.
Answer
Explanation:
Step1: Find the distance between A and F
The coordinate of A is - 5 and the coordinate of F is 4. The distance formula between two points (x_1) and (x_2) on a number - line is (d=\vert x_2 - x_1\vert). So, (d=\vert4-(-5)\vert=\vert4 + 5\vert = 9).
Step2: Calculate the distance from A to X
We want to find a point X on (\overline{AF}) such that the distance from A to X is (\frac{1}{3}) of the distance from A to F. So the distance from A to X is (\frac{1}{3}\times9 = 3).
Step3: Find the coordinate of X
Starting from A with coordinate - 5, if we move 3 units to the right (since we are moving from A to F which is in the positive direction), we use the formula (x=-5 + 3). So (x=-2).
Answer:
- 2