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

User Hollabaloo
by
8.2k points

2 Answers

4 votes

Answer:

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

User Cheron
by
7.9k points
4 votes

Answer:

  • 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
User Zimmerrol
by
8.9k points

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