Question

For each set of points below, determine the distance between them using the distance formula. each answer in this problem will be an integer

Answer 1

Distance between two coordinates:

`\text{ Distance=}\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

Given point: b) (10, -5) and ( -6, 7)

`x_1=10,y_1=-5,x_2=-6,y_2=7`

Substitute the value in the expression of distance formula

`\begin{gathered} \text{ Distance=}\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{Distance}=\sqrt[]{(-6-10)^2+(7-(-5))^2} \\ \text{Distance}=\sqrt[]{(-16)^2+(12)^2} \\ \text{Distance}=\sqrt[]{256+144} \\ \text{Distance}=\sqrt[]{400} \\ \text{Distance = 20 unit} \end{gathered}`

The distance between coordinates (10,-5) & (-6,7) is 20 unit