Solution:
<u>Note that:</u>
- Given sentence: The difference between an integer p and (-5) is 1.
<u>Let's reread the sentence carefully.</u>
The difference between an integer p and (-5) is 1.
<u>Change the sign.</u>
<u>Subtract 5 both sides:</u>
- p + 5 = 1
- => p + 5 - 5 = 1 - 5
- => p = -4
Answer:
jk
Step-by-step explanation:
Answer:
Answers are square root of 2, square root of 7,
Step-by-step explanation:
Irational is a number that is never ending.
Square root of 2 is irrational since there is no pattern to the number after the decimal.
10/ sqrt of 100. Sqrt of 100 is 10. 10/10 = 1 so this is not a irrational.
Sqrt of 7 does not have a pattern after the decimal point so it is irrational.
5.87 with a dash on top is rational since it means it has a pattern of continues 87's.
Last one it is equal to 2 so it is rattional.
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.
Step-by-step explanation:
II will be the 90° clockwise rotation,
III will be the translation
IV will be the 180° rotation
V will be the 90° counter clockwise rotation
