This will be a parabola which opens upwards. and with a vertex at ( (-8, (-1-1.5) = (-8, -2.5). (The vertex is halfway between the focus and the directrix).
The general form is (x-h)^2 = 4p(y - k) where (h,k) is the vertex.
So we can write the equation as
(x + 8)^2 = 4p(y + 2.5)
p = 1.5 so we have
(x + 8)^2 = 6(y + 2.5)
x^2 + 16x + 64 = 6y + 15
6y = x^2 + 16x + 49
y = (1/6) x^2 + (8/3)x + (49/6) is the answer
9514 1404 393
Answer:
x = 25
F = 82
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
(4x -2)° +(3x +7)° = 180°
7x = 175 . . . . . . . . . . . . . . . divide by °, subtract 5, collect terms
x = 25 . . . . . . . . divide by 7
The far right angle is then ...
(3x +7)° = (3(25) +7)° = 82°
The opposite angle in the parallelogram has the same measure, as does the vertical angle to it, angle f.
∠f = 82°
9514 1404 393
Answer:
x = 42
Step-by-step explanation:
You know from your multiplication tables that ...
42/7 = 6
x = 42
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If you like, you can solve this by multiplying both sides of the equation by 7.
(x/7)(7) = 6(7)
x = 42