Question

Find the distance between (-5,3) and (2,-1).

Answer 1

distance = sqrt( 65 ) ~= 8.06

Explanation:

To find the distance between two points, we can use the distance formula.

distance = sqrt( [x2 - x1]^2 + [y2 - y1]^2)

distance = sqrt( [-5 - 2]^2 + [3 - -1]^2)

distance = sqrt( [-7]^2 + [4]^2)

distance = sqrt( 49 + 16 )

distance = sqrt( 65 ) ~= 8.06

Cheers.

Answer 2

Answer: d=8.06

Explanation:

To this the distance between two points, you would need the distance formula.

Distance Formula:
`d=\sqrt{(x_(2)-x_(1) )^2+(y_(2) -y_(1) )^2}`

Since we have two given points, all we have to do is plug them in.

`d=√((2-(-5) )^2+(-1 -3 )^2)` [parentheses]

`d=√((7)^2+(-4 )^2)` [exponent]

`d=√(49+16)` [add]

`d=√(65)` [square root]

`d=8.06`

Now we know that the distance is d=8.06.