Answer:
y = x^2/ 60 + 15
=>( x - h)^2 = 4a[ (x^2/6 + 15) - k ].
Step-by-step explanation:
Okay, in order to solve this question very well, one thing we must keep at the back of our mind is that the representation for the equation of a parabola is given as ; y = ax^2 + bx + c.
That is to say; y = ax^2 + bx + c is the equation for a parabola. So, we should be expecting our answer to be in this form.
So, from the question above we are given that "the satellite dish will be in the shape of a parabola and will be positioned above the ground such that its focus is 30 ft above the ground"
We will make an assumption that the point on the ground is (0,0) and the focus is (0,30). Thus, the vertex (h,k) = (0,15).
The equation that best describes the equation of the satellite is given as;
(x - h)^2 = 4a( y - k). ------------------------(1).
[Note that if (h,k) = (0,15), then, a = 15].
Hence, (x - 0)^2 = (4 × 15) (y - 15).
x^2 = 60(y - 15).
x^2 = 60y - 900.
60y = x^2 + 900.
y = x^2/ 60 + 15.
Hence, we will have;
(x - h)^2 = 4a[ (x^2/6 + 15) - k ].
A rate is common.
Lets find something that isn't constant.
The speed a runner can't be constant
Perhaps they run for 1 hour and get 1 mile done, and the other hour, they run 1.3 miles in 1 hour.
The answer is true, we study mathematics and the properties of numbers, and we learn to solve equations for one major purpose: to solve practical application problems.
First, set up a ratio:
The first fraction is the percentage (30% and
are the same thing) and the second is the loan payment (which is equal to the 30 in the first fraction) over their annual income (
).
First you divide $15,680 by 30, then multiply that quantity by 100. The value calculated then replaces
in your second fraction:
