Question

In a rectangular coordinate system, what is the number of units in the distance from the origin to the point (7, -24)?

Answer 1

25

Explanation:

You can also use the pythagorean theorem.

From (0, 0) to (7, -24), one of the side lengths of the triangle is 24, and the other is 7.

Now we can use the pythagorean theorem with these numbers

`7^2 +24^2=x^2`, and now we can solve these squares to get

`49+576=x^2\\625=x^2\\√(625) = x\\`, So x = 25

Answer 2

25 units

Explanation:

Distance Formula:
`d = √((x2-x1)^2+(y2-y1)^2)`

Our points: (0, 0) and (7, -24)

`d = √(7^2+(-24)^2)`

d = √(49+576)

d = √625

d = 25