Question

What is the distance between # (-2, 4) `and`(8, 8)#?

Answer 1

`2\sqrt{29}=10.77\ text{unit`

Explanation:

The distance between the points `(x_1, y_1)\equiv(-2, 4)` & `(x_2, y_2)\equiv(8, 8)` is given by using distance formula as follows

`\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}`

`=\sqrt{(-2-8)^2+(4-8)^2}`

`=2\sqrt{29}`

`=10.77\ text{unit`

Answer 2

`sqrt116~~10.77" to 2 dec. places"`

Explanation:

`"Calculate the distance d using the "color(blue)"distance formula"`

`•color(white)(x)d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)`

`"let "(x_1,y_1)=(-2,4)" and "(x_2,y_2)=(8,8)`

`d=sqrt((8-(-2))^2+(8-4)^2)`

`color(white)(d)=sqrt(100+16)=sqrt116~~10.77`