The general form of the equation we need to find is (x - h)^2 = 4p(y- k).
The center is the distance between the directrix and focus.
So, center (h, k) = (3, 3/2) .
P = distance from center to the focus and it just so happens to be 1.5.
We now plug everything into the formula given above.
(x - 3)^2 = 4(1.5)(y - 3/2)
(x - 3)^2 = 6(y - 3/2)
Done!
Answer:
9x^4+3x^2 -6
Step-by-step explanation:
(3x^2-2)(3x^2+3)
expand to remove the bracket
9x^4 + 9x^2 -6x^2 - 6
9x^4 + 3x^2- 6
100 is the easiest because 1/100 =0.01
33/100=0.33
If we intersect the circle of radius 1 around (4,-4) and the circle of radius 1 around (4,-6) they'll intersect at the center of circle radius 1 that has both those points.
Here we don't really have to do any math. It's clear that the midpoint (4,-5) is 1 away from both (4,-4) and (4,-6) so that's our answer:
Answer: (4,-5)
