Question

Find the distance between the points (–

1,–
1) and (7,8).
Write your answer as a whole number or a fully simplified radical expression. Do not round.

Answer 1

Explanation:

In order to get answer of this question, we should use the distance formula. So, what is that formula? let us see the formula and simplify to get the answer :)

`{ \red{ \tt{given}}}`

`{ \orange{ \tt{(1, - 1)}}} = { \green{ \tt{(x1,y1)}}}`

`{ \orange{ \tt{(7,8)}}} = { \green{ \tt{(x2,y2)}}}`

`{ \blue{ \tt{d}}} = { \green{ \tt{ \sqrt{ {(x1 - x2)}^(2) + ( {y1 - y2)}^(2)}}}}`

`{ \blue{ \tt{d}}} = { \green{ \tt \sqrt{ {(1 - 7)}^(2) + { (- 1 - 8)}^(2)}}}`

`{ \blue{ \tt{d}}} = { \green{ \tt{ \sqrt{ {(6)}^(2) + {( - 9)}^(2)}}}}`

`{ \blue{ \tt{d}}} = { \green{ \tt{ √(36 + 81)}}}`

`{ \blue{ \tt{d}}} = { \green{ \tt{ √(117)}}}`units.