3 ways
1st way: Anthony- Gold William-Red Christopher-Green Mathew-Blue
2nd way: Anthony- Blue William-Gold Christopher-Red Mathew-Green
3rd way: Anthony-Green William-Blue Christopher-Gold Mathew-Red
1,128 divided by 24 = 47 bags. To make sure this answer is right you can multiply 24 and 47 and you get 1,128
Answer:
10) Correct
11) Each row is equal to 12 when you multiply them together.
12) 24
Step-by-step explanation:
12) You multiply 4*3*2 to get the volume of 24, which is also the number of cubes needed to make the shape.
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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.
It's linear
If you evaluate x when it's 0 you'll get the cut in y, that means the function will pass on (0,7)
The formula for linear functions is y=mx +b
In this case b is 7
M=7-5/0+1
M=2
Now you just write the function down, it would be
F(x) =2x + 7
