Question

find the distance between the two points rounding to the nearest tenth (if necessary). (7, -7) and (1, 2)

Explanation:

Step1: Recall the distance formula

The distance \( d \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} \).
Here, \( x_1 = 7,y_1=-7,x_2 = 1,y_2 = 2 \).

Step2: Substitute the values into the formula

First, calculate \( x_2 - x_1=1 - 7=-6 \) and \( y_2 - y_1=2-(-7)=2 + 7 = 9 \).
Then, find the squares: \( (-6)^2=36 \) and \( 9^2 = 81 \).
Add these squares: \( 36+81 = 117 \).
Take the square root: \( d=\sqrt{117}\approx10.8 \) (rounded to the nearest tenth).

Answer:

\( 10.8 \)