56.2k views
3 votes
Find x so that the distance between the points (-2,5) and (x,-7) is 13

User Billc
by
7.0k points

1 Answer

3 votes

Answer :

  • (x₁ , y₁) = (-2 , 5)
  • (x₂ , y₂) = (x , -7)

Distance between both points = 13

We have to find value of x
.

Distance between two points can be measured by using this formula :

  • d = √[(x₂ - x₁)² + (y₂ - y₁)²]

⭆ d = √[(x₂ - x₁)² + (y₂ - y₁)²]

⭆ 13 = √[(x - (-2))² + (-7 - 5)²]

⭆ 13² = (x + 2)² + (-12)²

⭆ 169 = (x + 2)² + 144

⭆ (x + 2)² = 169 - 144

⭆ (x + 2)² = 25

⭆ x + 2 = 5

⭆ x = 5 - 2

x = 3

Hope It Helps!

User Jan Schultke
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories