Question

Calculate the distance between the points:(-2,3) and (-7,-7)using the Distance Formulad = √(x2 - x1)² + (y2-y1)²Round your answer to the nearest tenth.

Answer 1

11.2 Units

Step-by-step explanation:

Given the points (-2,3) and (-7,-7).

Using the distance formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`
`\begin{gathered} (x_1,y_1)=\left(-2,3\right) \\ (x_2,y_2)=(-7,-7) \end{gathered}`

Substitution into the distance formula gives::

`\begin{gathered} d=√((-7-(-2))^2+(-7-3)^2) \\ =√((-7+2)^2+(-10)^2) \\ =√((-5)^2+(-10)^2) \\ =√(25+100) \\ =√(125) \\ =11.18\text{ units} \end{gathered}`

Rounding up to the neares tenth we have: 11.2 units.