Parallelogram as well as a quadrilateral with pairs of equal and parallel opposite sides
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
3,436 to 3,752 calories in 2 pounds
Answer:
100 girls and 20 boys
Step-by-step explanation:
since its 5 times as many girls multiply 20 by 5 which is 100 and then boom 20 boys cause 100 divided by 5 is 20
In this case we can propose a rule of three:
$ 18 ---------------> 100%
x --------------------> 25%
Where x represents the discount made to the pillow:
So we have the new price (with the discount) is:
In addition, if 25% is discounted we have to, the price of the pillow is 75% of the original price. That is to say:
Answer:
Option A
Option D
