Find a point on the y-axis such that its distance from the point (8,5) is 10 units.

Given:

The point is (8,5).

To find:

A point on the y-axis such that its distance from the point (8,5) is 10 units.

Solution:

Let the required point on the y-axis be (0,k).

Distance formula:

The distance between (8,5) and (0,k) is 10 units. Using distance formula, we get

Taking square on both sides.

Taking square root on both sides.

Now,

and

and

and

Therefore, the required point is either (0,11) or (0,-1).

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

the answer will be