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:
2km/m
Step-by-step explanation:
6 laps = 10km
(because 3 x 2 = 6 and double 5km as well)
Distance divide time = speed
20 mins divided by 10km = 2km per minute
Answer:
Step-by-step explanation:
Formula
A = L * W
Givens
W = W
L = W + 2
Solution
Area = L*W
Area = (W+2)*W = 80 Remove the brackets.
Area = W^2 + 2W = 80 Subtract 80 from both sides.
Area = w^2+2W-80=80-80 Combine
Area = w^2 +2W-80 = 0 Factor.
Area = (w+10)(w - 8) = 0
W + 10 = 0 won't work
W = - 10 which isn't possible
W- 8 = 0
W = 8
L = 8 + 2 = 10
The answer looks like A
Answer:
The Radius of the base, r, and the altitude h
Step-by-step explanation:
Surface area of a right cone
R= Radius
H=Radius
You would divide the rate
