Question

ASAP PLEASE GIVE CORRECT ANSWER

In a rectangular coordinate system, what is the number of units in the distance from the origin to the point $(-15, 8)$? Enter your answer

Answer 1

distance of a point
`(x,y)` from origin is $\sqrt{x^2+y^2}$

so distance is $\sqrt{(-15)^2+(8)^2}=\sqrt{225+64}=\sqrt{289}=17$

Answer 2

Distance=17 units

Explanation:

Coordinates of the origin: (0, 0)

Coordinates of the point in question: (-15, 8)

Distance formula for any two points
`(x_1,y_1), (x_2,y_2)` on the plane:

`distance=√((x_2-x_1)^2+(y_2-y_1)^2) \\distance=√((-15-0)^2+(8-0)^2)\\distance=√((15)^2+(8)^2)\\distance=√(225+64) \\distance=√(289) \\distance=17`