Answer:
-4y = x², or y = - x²/4, or y = -(1/4)x²
Step-by-step explanation:
Because the focus is beneath the directrix, this vertical parabola opens down. The general formula is 4py = x².
Because the distance between focus and directrix is 2 units, p = -1 here. The negative sign shows that the parabola opens down.
4py = x² becomes 4(-1)y = x², or -4y = x², or y = - x²/4
Step-by-step explanation:
The cost of one song is 2.56/2
= 1.28
Answer:
width: 5.5 yd; length: 8 yd
Step-by-step explanation:
Let w represent the width of the rectangle in yards. Then 2w-3 is the length and the area is the product of length and width:
w(2w-3) = 44
2w^2 -3w -44 = 0 . . . . put the equation into standard form
(w+4)(2w -11) = 0 . . . . . factor the equation
w = -4 or 11/2 . . . . . . . . the negative solution is extraneous
Then the length is 2·(11/2) -3 = 8.
The width of the rectangle is 5.5 yards; the length is 8 yards.
Step-by-step explanation:
x2^+8x=-20
9x^2=20
x^2=20-9
x^2=11
√x^2=√11
x=√11