Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
we know that the area of the room is equal to the area of a rectangle plus the area of a trapezoid
step 1
Find out the area of the rectangle

step 2
Find out the area of the trapezoid

step 3
Sum the areas

substitute the values

If this is your equation:

Solution:
LCD for 5 and 5x is 5x




←cross product
20x + 30 = 5x² + 25x ←simplify with distributive property
0 = 5x² + 5x - 30 ←use inverse operations to collect all terms on one side
0 = x² + x - 6 ←if possible divide by numerical GCF (This case 5)
0 = (x + 3)(x - 2) ←Factor
x = -3 or x = 2
Please check by substitution in original equation... Both work
A function is a relation that has one output for a given input.
For the first one, there is no one x value with two or more y values so it is a function.
The second example is also a function because a certain value can only have one cube root.
For problem number 3 input "-3" for every instance of x in h(x).
So, h(-3)=2(3^2)-1= 17
When raising a fraction to a power, we can raise the numerator and denominator to the power. To find x, we need to find the cube root of both 125 and 27. That is, the numbers that when multiplied by themseelves 3 times result in 125 and 27.
![\sqrt[3]{125} = 5](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B125%7D%20%3D%205%20)
![\sqrt[3]{27} =3](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B27%7D%20%3D3)
So x =
Answer:
2
Step-by-step explanation:
According to Euclidian theorem :
h^2 = 4*8
h^2 = 32 find the root for both sides
h = 2