Answer: x = H(x) + 3
Step-by-step explanation: The inverse function is x expressed with H(x). There aren't always inverse functions but in this case you just put the fraction from the right hand side to the left hand side. After the divison you get what I wrote.
Data:
x y
16 4
32 16
48 36
Direct relation means that the ratio y / x is constant.
So, let's examine this ratio:
Ratio y / x
4/16 = 1/4
16/32 = 1/2
36/48 = 3/ 4
Given that the ratio y/x is not constant, the conclusion is that y does not vary directly with x.
Answer:
11 11/18
Step-by-step explanation:
Calculate by breaking to wholes and parts
An octagon has 12 sides;
The measure of an exterior angle is:
First off, I think the equation should have a negative 9 in it originally and then you move it to the other side and it becomes positive.
You'll basically complete the square for two equations at the same time. Set it up like this:
(16x^2 + 96x) + (9y^2 - 18y) = 9
Divide everything by 16 to get the x^2 by itself, then divide everything by 9 to get y^2 by itself. You should end up with this.
(x^2 + 6x) + (y^2 - 2y) = 9/144
then complete the square by taking the second term of each polynomial, dividing by two, and squaring it.
For instance the first one will be 6/2 = 3^2 = 9
The next one will be 2/2 =1^2 = 1
Add these to numbers to the polynomials as well as to the other side of the equation to keep it equal. You should end up with this.
(x^2 + 6x+9) + (y^2 - 2y+1) = (9/144)+9+1
Then find a common denominator on the right side of the equals sign and add them all together to get:
(x^2 + 6x+9) + (y^2 - 2y+1) = 1449/144
Factor out the two polynomials
(x+3)^2 + (y-1)^2 = 1449/144
the center of the circle is (-3,1) according to the factored out polynomials and the radius will be the square root of the number on the right side of the equals sign = sqrt(1449/144) = 3.17
