"find the point at which the line touches the circle" i really need no one last the line's equation is y=3x+10 the circle's equation is x^2+y^2=10 a. (-3,-1) b. (3,1) c. (-3,1) d. no solution

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1