Question

Find the distance between the points (5,-3) and (0,2).

Answer 1

Answer:

A

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (5, - 3) and (x₂, y₂ ) = (0, 2)

d = $\sqrt{(0-5)^2+(2+3)^2}$

  = $\sqrt{(-5)^2+5^2}$

  = $\sqrt{25+25}$

  = $\sqrt{50}$ = $\sqrt{25(2)}$ = 5$\sqrt{2}$

Answer 2

Answer:

option a

Step-by-step explanation:

we have the equation of distance between two points :

d=$\sqrt{(x2-x1)^2+(y2-y1)^2}$

first point (5,-3)

second point (0,2)

so we have

d=$\sqrt{(0-5)^2+(2-(-3))^2}$

d=$\sqrt{25+25}$

d=$\sqrt{50}$

50=(5^2)*2

so we have d=$\sqrt{50}$ = $\sqrt{5^2*2$

d=5$\sqrt{2}$