Recall the equation for a circle with center (h, k) and radius r. at what point in the first quadrant does the line with equation y
=2.5x+2 intersect the circle with radius 4 and center (0, 2)?

At point (1.486, 5.714)

Step-by-step explanation:

The equation of the circle with radius 4 and center at (0, 2) is:

and we want to know where in the 1st quadrant does it intersect with line

To find the point of intersection we put the value of   into the equation of the circle:

and since we only concerned with the 1st quadrant we take the positive value of which is the x coordinate of intersection.

The y coordinate is found by putting this x value into either the circle equation or the line equation ; we choose the line equation because it is easier to work with.

Thus we have the point of intersection

i think it is

step-by-step explanation:

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