Answer:
q = 6; r = 7
Step-by-step explanation:
They are functions because they have the variables
The relationship between 1’s in the value of 911, 147, 835
shows their numerical order in the number. In which to further elaborate we
shall break down the number into its expanded form and word form:
<span><span>1. </span>900, 000,
000 = nine hundred million</span>
10, 000, 000 = ten million
1, 000, 000 = one million
100, 000 = one hundred thousand
40, 000 = forty thousand
7, 000 = seven thousand
800 = eight hundred
30 = thirty
5 = five
<span><span>2. </span><span> Nine hundred eleven million one hundred
forty-seven thousand eight hundred and thirty five. </span></span>
Answer:
c) the size of each exterior angles
OK, so the graph is a parabola, with points x=0,y=0; x=6,y=-9; and x=12,y=0
Because the roots of the equation are 0 and 12, we know the formula is therefore of the form
y = ax(x - 12), for some a
So put in x = 6
-9 = 6a(-6)
9 = 36a
a = 1/4
So the parabola has a curve y = x(x-12) / 4, which can also be written y = 0.25x² - 3x
The gradient of this is dy/dx = 0.5x - 3
The key property of a parabolic dish is that it focuses radio waves travelling parallel to the y axis to a single point. So we should arrive at the same focal point no matter what point we chose to look at. So we can pick any point we like - e.g. the point x = 4, y = -8
Gradient of the parabolic mirror at x = 4 is -1
So the gradient of the normal to the mirror at x = 4 is therefore 1.
Radio waves initially travelling vertically downwards are reflected about the normal - which has a gradient of 1, so they're reflected so that they are travelling horizontally. So they arrive parallel to the y axis, and leave parallel to the x axis.
So the focal point is at y = -8, i.e. 1 metre above the back of the dish.
