45.
12/18 = 8/x <=> 2/3 = 8/x <=> x = (3*8)/2 = 12;
A^2+b^2= c^2
Plug in the points. the longest side is always c.
95.2^2+ b^2= 168^2.
Square the numbers.
9063.04+ b^2= 28224
Subtract 9063.04 on both sides.
b^2= 19160.96
Find the square root.
b= 138.423119456
Or, b= 138.4 (rounded down)
I hope this helps!
~kaiker
Hey there! I'd be delighted to help you out!
First, let's write down our expression!
![(x^2-x)+(8x-2x^2)](https://tex.z-dn.net/?f=%28x%5E2-x%29%2B%288x-2x%5E2%29)
When we look at this expression, we see that all of the numbers are <u>terms, </u>or numbers that are added. We have four terms in this equation, which are:
![x^2, -x, 8x, -2x^2](https://tex.z-dn.net/?f=x%5E2%2C%20-x%2C%208x%2C%20-2x%5E2)
Now, to simplify, we want to combine like terms. Like terms are numbers that have the same variable (or no variable) and are raised to the same power. 1 and 5 are like terms because they both have no variable and they are both raised to the power of 1 (any number that is itself is raised to this power). 4x and 12x are like terms because they both have an x and a power of 1. 4y and 5x are not like terms because they have different variables. 4x³ and 2x² are not like terms because they are raised to different powers.
Now, we see that with our numbers, x² and -2x² are like terms, and -x and 8x are also like terms. We can combine accordingly.
![x^2-2x^2=-x^2\\\\-x+8x=7x](https://tex.z-dn.net/?f=x%5E2-2x%5E2%3D-x%5E2%5C%5C%5C%5C-x%2B8x%3D7x)
Now we combine to get our simplified expression!
![-x^2+7x](https://tex.z-dn.net/?f=-x%5E2%2B7x)
I hope that this helps! Have a wonderful day!
Convert the mixed number into a fraction. To do this, multiply the denominator by the whole number, and add the numerator. 5*4+3=23. Then put that over the denominator.
So we now have 23/5 * 7. To multiply fractions, multiply the numerators together and the denominators together.
(23*7)/5 = 161/5 or 32.2