Question

Find the distance between (-7,-2) and (13,-23).

Answer 1

29 units

Explanation:

We can use the below formula to find the distance between two coordinates.

`\sf Distance=√([x_2-x_1]^2+[y_2-y_1]^2)`

Given that,

( -7, -2 ) ⇒ ( x₁ , y₁ )

( 13, -23 ) ⇒ ( x₂ , y₂ )

Let us find it now.

`\sf Distance=√([x_2-x_1]^2+[y_2-y_1]^2)\\\\\sf Distance=√([13-(-7)]^2+[-23-(-2)]^2)\\\\\sf Distance=√([13+7]^2+[-23+2]^2)\\\\\sf Distance=√([20]^2+[-21]^2)\\\\\sf Distance=√(400+441)\\\\\sf Distance=√(841)\\\\\sf Distance=29\:units`

Answer 2

• 29 units

------------------------------

Use the distance formula:

• 
  `d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Substitute given coordinates and calculate:

• 
  `d=√((13-(-7))^2+(-23-(-2))^2) =√(20^2+(-21)^2) =√(841) =29`