Question

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

Answer 1

Answer: d=8.06

Step-by-step 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.

$d=\sqrt{(2-(-5) )^2+(-1 -3 )^2}$              [parentheses]

$d=\sqrt{(7)^2+(-4 )^2}$                                [exponent]

$d=\sqrt{49+16}$                                        [add]

$d=\sqrt{65}$                                                [square root]

$d=8.06$

Now we know that the distance is d=8.06.

Answer 2

Answer:

distance = sqrt( 65 ) ~= 8.06

Step-by-step 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.