Question

section 1.3 distance formula, due: october 1 at 8:00 am, grade: 17%, coordinate distance, coordinate distance (decimal), find the distance between the two points in simplest radical form. answer, attempt 1 out of 2, submit answer, graphing calculator, scientific calculator, upload work, back to home, deltamath

Explanation:

Step1: Recall distance formula

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

Step2: Identify the points

Suppose the lower - left point is $(x_1,y_1)$ and the upper - right point is $(x_2,y_2)$. From the graph, assume the lower - left point is $(- 4,-8)$ and the upper - right point is $(4,-2)$.

Step3: Substitute values into formula

$d=\sqrt{(4-(-4))^2+((-2)-(-8))^2}=\sqrt{(4 + 4)^2+(-2 + 8)^2}=\sqrt{(8)^2+(6)^2}$.

Step4: Simplify the expression

$\sqrt{64 + 36}=\sqrt{100}=10$.

Answer:

$10$