Answer:
(a) (x -3)^2 = -6(y +5.5)
Step-by-step explanation:
The equation of a parabola can be written as ...
(x -h)^2 = 4p(y -k)
where (h, k) is the vertex, and p is the distance from the focus to the vertex.
The vertex is half-way between the focus and directrix, so is ...
(h, k) = (1/2)((3, -7) +(3, -4)) = (3, -5.5)
The focus is at y=-7, and the vertex is at y=-5.5, so the distance between them is ...
-7 -(-5.5) = -1.5
Then the equation for the parabola is ...
(x -3)^2 = 4(-1.5)(y -(-5.5))
(x -3)^2 = -6(y +5.5) . . . . matches the first choice
Answer:
x =2 2/13
Step-by-step explanation:
5.76x² + 2.86 • 1 - 35 = 0
x = √5.579861, −√5.579861
I believe it's the third one
Answer:
a) a = 5, b = 3.
Step-by-step explanation:
We use the Remainder theorem here:
Lets try a = 5 and b = 3 and when x + 2 is the divisor then P(-2) will be -10:
P(x) = 6x^3 + 5x^2 - 3x + 12
p(-2) = 6(-2)^3 + 5(-2)^2 -3(-2) + 12
= -48 + 20 + 6 + 12
= -48 + 38
= -10.
Also using x + 1 we find that p(-1) = 14 so this is the answer.