Question

In the standard (x, y) coordinate plane, what is the distance between the points (2, -10) and (-3,5) ? ​

Answer 1

5√10, answer C

Explanation:

You can use Pythagoras for this.

calculate the distance between the x coordinates (Δx), which is done by taking the biggest number and subtracting the the coordinates from each other. Aka 2 - - 3 = 2 + 3 = 5

Δy = 5 - - 10 = 15

then a^2 + b^2 = c^2 gives

5^2 + 15^2 = 250

c = √250

Then you still have to simplify. This is done by extracting the root out which results in an integer (a whole number), which is in this case 25.

√250 = √25 * √10 = 5√10, so answer C