Answer:
y = 1/6 x^2 + 8/3 x + 49/6
Step-by-step explanation:
This is a parabola which opens upwards.
The distance of a point (x, y) from the focus is
√[(x - -8)^2 + (y - -1)^2] and
the distance of the point from the line y = -4
= y - -4
These distances are equal for a parabola so:
√[(x - -8)^2 + (y - -1)^2] = y + 4
Squaring both sides:
(x + 8)^2 + (y + 1)^2 = (y + 4)^2
x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16
x^2 + 16x + 64 + 1 - 16 = 8y - 2y
6y = x^2 + 16x + 49
y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.
Answer:
x=14
Step-by-step explanation:
The answer is 343
Because volume is length x width x height which would be 7 x 7 x 7
Answer:
First number=6
Second number=14
Step-by-step explanation:
Let the first number be x
So the second number is x+8
So the sum of the two is
X+x+8=20
2x+8=20
2x=20-8
2x=12
X=12/2
=6
The second number will x+8
So 6+8=14
First number=6
Second number=14