Answer:
662
Step-by-step explanation:
l x w
10x41
6x22
8x15
662
Answer:
y=2x+7
Step-by-step explanation:
If you plug in the x and y values, they are correct.
Answer:
A
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) , thus
f(x) + g(x)
= 4x + 1 + x² - 5 ← collect like terms
= x² + 4x - 4 → A
Answer:
The fraction of the area of ACIG represented by the shaped region is 7/18
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the square ABED find the length side of the square
we know that
AB=BE=ED=AD
The area of s square is
![A=b^{2}](https://tex.z-dn.net/?f=A%3Db%5E%7B2%7D)
where b is the length side of the square
we have
![A=49\ units^2](https://tex.z-dn.net/?f=A%3D49%5C%20units%5E2)
substitute
![49=b^{2}](https://tex.z-dn.net/?f=49%3Db%5E%7B2%7D)
![b=7\ units](https://tex.z-dn.net/?f=b%3D7%5C%20units)
therefore
![AB=BE=ED=AD=7\ units](https://tex.z-dn.net/?f=AB%3DBE%3DED%3DAD%3D7%5C%20units)
step 2
Find the area of ACIG
The area of rectangle ACIG is equal to
![A=(AC)(AG)](https://tex.z-dn.net/?f=A%3D%28AC%29%28AG%29)
substitute the given values
![A=(9)(10)=90\ units^2](https://tex.z-dn.net/?f=A%3D%289%29%2810%29%3D90%5C%20units%5E2)
step 3
Find the area of shaded rectangle DEHG
The area of rectangle DEHG is equal to
![A=(DE)(DG)](https://tex.z-dn.net/?f=A%3D%28DE%29%28DG%29)
we have
![DE=7\ units](https://tex.z-dn.net/?f=DE%3D7%5C%20units)
![DG=AG-AD=9-7=2\ units](https://tex.z-dn.net/?f=DG%3DAG-AD%3D9-7%3D2%5C%20units)
substitute
![A=(7)(2)=14\ units^2](https://tex.z-dn.net/?f=A%3D%287%29%282%29%3D14%5C%20units%5E2)
step 4
Find the area of shaded rectangle BCFE
The area of rectangle BCFE is equal to
![A=(EF)(CF)](https://tex.z-dn.net/?f=A%3D%28EF%29%28CF%29)
we have
![EF=AC-AB=10-7=3\ units](https://tex.z-dn.net/?f=EF%3DAC-AB%3D10-7%3D3%5C%20units)
![CF=BE=7\ units](https://tex.z-dn.net/?f=CF%3DBE%3D7%5C%20units)
substitute
![A=(3)(7)=21\ units^2](https://tex.z-dn.net/?f=A%3D%283%29%287%29%3D21%5C%20units%5E2)
step 5
sum the shaded areas
![14+21=35\ units^2](https://tex.z-dn.net/?f=14%2B21%3D35%5C%20units%5E2)
step 6
Divide the area of of the shaded region by the area of ACIG
![\frac{35}{90}](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7B90%7D)
Simplify
Divide by 5 both numerator and denominator
![\frac{7}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B18%7D)
therefore
The fraction of the area of ACIG represented by the shaped region is 7/18
Answer: it is A that right