Question

Find the distance between each pair of points
(-5.2, 7) and (3,- 4)

Answer 1

13.72units

Step-by-step explanation:

Given parameters:

Coordinates of the two points = (-5.2, 7) and (3,- 4)

Unknown:

Distance between the two points = ?

Solution:

To find the distance between two points, we use the mathematical expression below;

D =
`\sqrt{(x_(2)-x_(1) )^(2) + (y_(2) - y_(1) )^(2) }`

From the given coordinates;

x₁ = -5.2 x₂ = 3

y₁ = 7 y₂ = -4

Now; input the parameters and solve;

D =
`\sqrt{[3-(-5.2)]^(2) + (-4 -7)^(2) }` =
`√(67.24 + 121)` = 13.72units

The distance between the two points is 13.72units