Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

part b (copy) using the same points, find the distance between them. ro…

Question

part b (copy) using the same points, find the distance between them. round your answer to the nearest tenth (ex 1.2)

Explanation:

Step1: Identify the two - point coordinates

Let the two points be $(x_1,y_1)$ and $(x_2,y_2)$. From the graph, assume the first point is $(- 3,-5)$ and the second point is $(3,4)$.

Step2: Apply the distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substitute $x_1=-3,y_1 = - 5,x_2 = 3,y_2 = 4$ into the formula: $d=\sqrt{(3-(-3))^2+(4 - (-5))^2}=\sqrt{(3 + 3)^2+(4 + 5)^2}=\sqrt{6^2+9^2}=\sqrt{36 + 81}=\sqrt{117}$.

Step3: Calculate and round

$\sqrt{117}\approx10.8$.

Answer:

$10.8$