The line \(y = \frac{3x + 15}{4}\) intersects the circle \(x^2 + y^2 = 36\) at \(A\) and \(B\). Find the length of chord \(\overline{AB}\).

Guest Feb 28, 2020

#1**0 **

The intersections are (12/13*(3*sqrt(3) - 1),6/13*(3 + 4*sqrt(3)) and (-12/13*(1 + 3sqrt(3)), -6/13*(4*sqrt(3) - 3), so the length of the chord is sqrt((12/13*(3*sqrt(3) - 1 + 12/13*(1 + 3*sqrt(3))^2 + (6/13*(3 + 4*sqrt(3)) + 6/13*(4*sqrt(3) - 3))^2) = 24*sqrt(39)/13.

Guest Feb 28, 2020

#2**0 **

What? No, not even close lol. Not only did you not use LaTeX (presumably to make it harder to notice how obviously wrong this is), you somehow ended up with a line intersecting a circle at 3 points, and well as having the most b******t length i've ever seen in my life. Normally I'd give you more courtesy, but this is just so incredibly wrong on everything, that I won't give a word of gratitude.

Guest Feb 28, 2020