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Furkat [3]
3 years ago
5

Rectangle ABCD is symmetric with respect to y-axis. Points A and B belong to the parabola y=x2. Points C and D are on the parab

ola y=−3x^2+k. Find k if the area of the rectangle is 66 and length of AB is 6.

Mathematics
1 answer:
Papessa [141]3 years ago
6 0
Notice the picture below

so.. whatever the parabola y= -3x²+k is, will pass over (3,-2) and (-3,-2)

so.. .let us pick say hmmm 3,-2
thus \bf y=-3x^2+k\qquad 
\begin{cases}
x=3\\
y=-2
\end{cases}\implies -2=-3(3)^2+k

solve for "k"

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