Question

What is the exact distance between (-7,4) and (3,1)

Answer 1

Given- Two points as (-7,4) and (3,1)

To find- The exact distance between them

Explanation - we know the distance formula is

`d=√((x_1-x_2)^2+(y_1-y_2)^2)`

here

`x_1=-7, x_2=3\\y_1=4, y_2=1`

Substituting these values we get

`d=√((-7-3)^2+(1-4)^2) \\d=√(10^2+3^2) \\d=√(100+9) \\d=√(109) \\d=10.44`

Hence the distance between them is 10.44

Final answer- the distance between the points is 10.44

Answer 2

Answer: d =
`√(109)`

Explanation:

Use the distance formula.
`d=\sqrt{(x_(2)-x_(1))^2+(y_(2)-y{1})^2`

`d=\sqrt{(3-(-7))^2+(1-4)^2`

d =
`√((10)^2+(-3)^2)`

d =
`√(100+9)`

d =
`√(109)`