We know that the perimeter is 72 meters, so we have
Now we can use the pythagorean theorem: the sum of the squares of the legs is the square of the hypotenuse:
Expand the squares to get
Bring everything to the right hand side to get
Divide both sides by 8:
This equation has solutions 
This solutions would yield the following side lengths:
Since we can't have negative side lengths, we can only accept the solution x=9.
In fact, you can check that 18,24,30 is a pythagorean triplet, i.e.
G ( x ) = 4 x + 1 ( spots → stars )
h ( x ) = x² - 2 ( stars → asteroids )
Composite function:
h ( g ( x ) ) = ( 4 x + 1 )² - 2 =
= 16 x² + 8 x + 1 - 2 =
= 16 x² + 8 x - 1 ( spots → asteroids )
Answer:
18 is a composite number. 18 = 1 x 18, 2 x 9, or 3 x 6. Factors of 18: 1, 2, 3, 6, 9, 18.
Prime factorization: 18 = 2 x 3 x 3, which can also be written 18 = 2 x 3²
<em>hope the answer helped:)</em>
Answer:
5 i think
Step-by-step explanation:
to start you need to find the total area the side of the roof he plans to cover which is 360 feet.
16x2 + 20x2 = 72
so lets just say thats the total area of one solar panel then you could just divide 360 feet by 72 feet to get...
5. so i guess william needs 5 solar panels
i could be spouting nonsense rn.. so sorry if im wrong
