Find the point in the first quadrant where the line y=4x intersects a circle of radius 4 centered at the origin.

point:

give exact values or give decimal values accurate to at least 3 decimal places

the point is : (1 ; 4 )

Step-by-step explanation:

an equation for this circle is : x²+y² = 16

you have the system : x²+y² = 16 (1)

                                      y = 4x (2)

Substitute y = 4x into (1) and solve for x :

x² + (4x)² = 16

x² +16x² = 16

17x² = 16

x² = 16/17

x = 4/√17   or x = - 4/√17 ( refused) because the point in the first quadrant where  : x ≥0

 x = 4/√17 ≅ 0.970

exact values or give decimal values accurate to at least 3 decimal places

is : x =1

Substitute  x = 1 into (2) : y =4    the point is : (1 ; 4 )