Question

find the distance between the two points rounding to the nearest tenth (if necessary). (9,8) and (7,5)

Explanation:

Step1: Recall the distance formula

The distance \( d \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} \).

Step2: Identify the coordinates

Here, \( x_1 = 9 \), \( y_1 = 8 \), \( x_2 = 7 \), \( y_2 = 5 \).

Step3: Substitute into the formula

First, calculate \( x_2 - x_1=7 - 9=- 2 \) and \( y_2 - y_1=5 - 8=-3 \).
Then, square these differences: \( (-2)^2 = 4 \) and \( (-3)^2=9 \).
Add the squared differences: \( 4 + 9 = 13 \).
Take the square root: \( d=\sqrt{13}\approx3.6 \) (rounded to the nearest tenth).

Answer:

\( 3.6 \)