Question

find the distance between the two points rounding to the nearest tenth (if necessary). (1, 2) and (-1, 0)

Explanation:

Step1: Recall 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, \( x_1 = 1,y_1 = 2,x_2=- 1,y_2 = 0 \).

Step2: Substitute values into formula

Substitute the values into the formula:
\( d=\sqrt{(-1 - 1)^2+(0 - 2)^2}=\sqrt{(-2)^2+(-2)^2} \)

Step3: Simplify the expression

First, calculate the squares: \( (-2)^2=4\) and \( (-2)^2 = 4 \). Then add them: \( 4 + 4=8 \). So \( d=\sqrt{8} \)

Step4: Approximate to nearest tenth

\( \sqrt{8}\approx2.828\approx2.8 \) (rounded to the nearest tenth)

Answer:

\( 2.8 \)