What is the distance between the points (23,-2) and (30,2)

Question

college algebra distance

Answer 1

Use the distance formula

 

d = √[(x₁ - x₂)² + (y₁ - y₂)²]

 

 

where:

(x₁ , y₁) is your first point

(x₂ , y₂) is your second point

 

Answer 2

Hello, thank you for taking the time to post your question!

In order to solve this one you want to use the distance formula

d = sqrt[ (x2​ − x1​)^2 + (y2 ​− y1​)^2]

so you want to plug in the values (23, -2) and (30, 2) for (x1, y1) and (x2, y2) and the simplify algebraically!

when I do that I end up getting d = 8.06

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 3

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Answer 4

Kelly, we are going to use the Pythagorean theorem, because we can draw a line straight down from (30,2) to (30,-2) and then across to (23,-2). The line from our two given points is the hypotenuse.

 

Remember a² + b² = c². If we take the square root of both sides, c = √(a² + b²).

 

How do we find the lengths of a and b? We subtract our values of x and our values of y.

 

30 - 23= 7

2 - (-2) = 4

 

c = √(7² + 4²) = √(49+ 16) = √65

 

Hope this helps!