SOLUTION: Find the distance between the two points. Round an approximate result to the nearest hundredth. (- 3, -2) and (0, -11)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Find the distance between the two points. Round an approximate result to the nearest hundredth. (- 3, -2) and (0, -11)      Log On


   

Question 461916: Find the distance between the two points. Round an approximate result to the nearest hundredth.
(- 3, -2) and (0, -11)
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Find the distance between the two points. Round an approximate result to the nearest hundredth.
(- 3, -2) and (0, -11)
----------------------
We use the distance formula to solve this problem.
.
D+=+sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%29
.
The most important thing is to decide which ordered pair will be the 1st (x1,y1) and which will be the second (x2,y2). It doesn't matter which you choose, you just can't change your mind halfway through the problem (lol).
.
Let's have (x1,y1) = (-3, -2) and (x2,y2) = (0, -11). It's simply a matter for substituting these values in their appropriate locations in the formula. Here's how it goes.
D+=+sqrt%28%280-%28-3%29%29%5E2%2B%28-11-%28-2%29%29%5E2%29
.
Use caution when adding and subtracting negative numbers. It's easy to make mistakes there.
D+=+sqrt%28%280%2B3%29%5E2%2B%28-11%2B2%29%5E2%29
D+=+sqrt%28%283%29%5E2%2B%28-9%29%5E2%29
D+=+sqrt%289%2B81%29
D+=+sqrt%2890%29
....
Now sqrt(90) is the exact distance between the two points. We are asked to approximate to the nearest hundredth. Use your calculator for this.
.
sqrt(90) is approximately 9.49
The points are approximately 9.49 units apart.
.
Hope this helps!
Ms.Figgy
math.in.the.vortex