Question

Find the distance between the points (5, -5) and (-7,4).Write your answer as a whole number or a fully simplified radical expressionunitsSubmit

Answer 1

Answer:

The distance between the points (5, -5) and (-7,4) = 15 units

Explanations:

The task is to find the distance between two points (5, -5) and (-7. 4)

The distance, D, between two points is given by the formula:

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

In the points (5, -5) and (-7. 4) given:

x₁ = 5, x₂ = -7, y₁ = -5, y₂ = 4

Substituting the values of these coordinates into the given equation:

`\begin{gathered} D\text{ = }\sqrt[]{(-7-5)^2+(4-(-5))^2} \\ D\text{ = }\sqrt[]{(-12)^2+(9)^2} \\ D\text{ = }\sqrt[]{144+81} \\ D\text{ = }\sqrt[]{225} \\ D\text{ = 15} \end{gathered}`