Answer:
The dimensions of the rectangular volleyball court are 60 ft x 30 ft
Step-by-step explanation:
Let
x ----> the length of rectangular volleyball court
y ---> the width of the rectangular volleyball court
we know that
The area of the rectangular volleyball court is equal to
![A=xy](https://tex.z-dn.net/?f=A%3Dxy)
![A=1,800\ ft^2](https://tex.z-dn.net/?f=A%3D1%2C800%5C%20ft%5E2)
so
----> equation A
-----> equation B
substitute equation B in equation A
![1,800=(2y)y](https://tex.z-dn.net/?f=1%2C800%3D%282y%29y)
![1,800=2y^2](https://tex.z-dn.net/?f=1%2C800%3D2y%5E2)
Solve for y
Simplify
![900=y^2](https://tex.z-dn.net/?f=900%3Dy%5E2)
take square root both sides
![y=30\ ft](https://tex.z-dn.net/?f=y%3D30%5C%20ft)
<em>Find the value of x</em>
![x=2y](https://tex.z-dn.net/?f=x%3D2y)
substitute the value of y
![x=2(30)=60\ ft](https://tex.z-dn.net/?f=x%3D2%2830%29%3D60%5C%20ft)
therefore
The dimensions of the rectangular volleyball court are 60 ft x 30 ft
I am unsure about the very last problem but I can help with the first two
1) (y+1)+4
If we combine the numbers 1 and 4, we get +5 and can isolate the numbers from the variable.
This would give us
![y + 5 =](https://tex.z-dn.net/?f=y%20%2B%205%20%3D)
2) (6*r)*7
remember that we do not have to explicitly state 6*r
Instead, we can write it as 6r
this helps us get rid of the parentheses
now we can write it as
![6r * 7=](https://tex.z-dn.net/?f=6r%20%2A%207%3D)
I hope this helps!:)
Answer:
![1. \: 3i](https://tex.z-dn.net/?f=1.%20%5C%3A%203i)
2. option D
3. option C
4. option D
5. option C
6. option B
7. option C
8. option D
9. option C
10. option C
Step-by-step explanation:
<h2>
![1. \: \sqrt{ - 9}](https://tex.z-dn.net/?f=1.%20%5C%3A%20%20%5Csqrt%7B%20-%209%7D%20)
</h2>
![\sqrt{ - 1(9)}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%201%289%29%7D%20)
![\sqrt{ - 1} \times \sqrt{ 9}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%201%7D%20%20%5Ctimes%20%20%5Csqrt%7B%20%209%7D%20)
![i \times \sqrt{9}](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B9%7D%20)
![i \times \sqrt{ {3}^{2} }](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B%20%7B3%7D%5E%7B2%7D%20%7D%20)
![i \times 3](https://tex.z-dn.net/?f=i%20%5Ctimes%203)
![3i](https://tex.z-dn.net/?f=3i)
<h2>
![2. \: \sqrt{ - 8}](https://tex.z-dn.net/?f=2.%20%5C%3A%20%20%5Csqrt%7B%20-%208%7D%20)
</h2>
![\sqrt{ - 1(8)}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%201%288%29%7D%20)
![\sqrt{ - 1} \times \sqrt{8}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%201%7D%20%20%5Ctimes%20%20%5Csqrt%7B8%7D%20)
![i \times \sqrt{8}](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B8%7D%20)
![i \times \sqrt{ {2}^{2} \times 2 }](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B%20%7B2%7D%5E%7B2%7D%20%5Ctimes%202%20%7D%20)
![2i \sqrt{2}](https://tex.z-dn.net/?f=2i%20%5Csqrt%7B2%7D%20)
<h2>
![3. \: \sqrt{ - 80}](https://tex.z-dn.net/?f=3.%20%5C%3A%20%20%5Csqrt%7B%20-%2080%7D%20)
</h2>
![\sqrt{ - 1} \times \sqrt{80}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%201%7D%20%20%5Ctimes%20%20%5Csqrt%7B80%7D%20)
![i \times \sqrt{80}](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B80%7D%20)
![4i \: \sqrt{5}](https://tex.z-dn.net/?f=4i%20%5C%3A%20%20%5Csqrt%7B5%7D%20)
<h2>
![4. \: \sqrt{ - 75}](https://tex.z-dn.net/?f=4.%20%5C%3A%20%20%5Csqrt%7B%20-%2075%7D%20)
</h2>
![\sqrt{ - 1} \times \sqrt{75}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%201%7D%20%20%5Ctimes%20%20%20%5Csqrt%7B75%7D%20)
![i \times \sqrt{75}](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B75%7D%20)
![i \times \sqrt{ {5}^{2} \times 3 }](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B%20%7B5%7D%5E%7B2%7D%20%5Ctimes%203%20%7D%20)
![5i \sqrt{3}](https://tex.z-dn.net/?f=5i%20%5Csqrt%7B3%7D%20)
<h2>
![5. \: \sqrt{ - 72}](https://tex.z-dn.net/?f=%205.%20%5C%3A%20%20%5Csqrt%7B%20-%2072%7D%20)
</h2>
![\sqrt{ - 1} \times \sqrt{72}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%201%7D%20%20%5Ctimes%20%20%5Csqrt%7B72%7D%20)
![i \times \sqrt{72}](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B72%7D%20)
![i \times ( {6}^{2} \times 2)](https://tex.z-dn.net/?f=i%20%5Ctimes%20%28%20%7B6%7D%5E%7B2%7D%20%20%5Ctimes%202%29)
![6i \sqrt{2}](https://tex.z-dn.net/?f=6i%20%5Csqrt%7B2%7D%20)
<h2>
![6. \sqrt{ - 20}](https://tex.z-dn.net/?f=%206.%20%20%5Csqrt%7B%20-%2020%7D%20)
</h2>
![\sqrt{ - 1} \times \sqrt{20}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%201%7D%20%20%5Ctimes%20%20%5Csqrt%7B20%7D%20)
![i \times \sqrt{20}](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B20%7D%20)
![i \times \sqrt{ {2}^{2} \times 5}](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B%20%7B2%7D%5E%7B2%7D%20%20%5Ctimes%205%7D%20)
![2i \sqrt{5}](https://tex.z-dn.net/?f=2i%20%5Csqrt%7B5%7D%20)
<h2>
![7. \: \sqrt{ - 27}](https://tex.z-dn.net/?f=7.%20%5C%3A%20%20%5Csqrt%7B%20-%2027%7D%20)
</h2>
![\sqrt{ - 1} \times \sqrt{27}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%201%7D%20%20%5Ctimes%20%20%5Csqrt%7B27%7D%20)
![i \times \sqrt{27}](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B27%7D%20)
![i \times \sqrt{ {3}^{2} \times 3}](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B%20%7B3%7D%5E%7B2%7D%20%20%5Ctimes%203%7D%20)
![3i \sqrt{3}](https://tex.z-dn.net/?f=3i%20%5Csqrt%7B3%7D%20)
<h2>
![8. \: \sqrt{ - 12}](https://tex.z-dn.net/?f=8.%20%5C%3A%20%20%5Csqrt%7B%20-%2012%7D%20)
</h2>
![\sqrt{ - 1 \times 12}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%201%20%5Ctimes%2012%7D%20)
![i \times \sqrt{12}](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B12%7D%20)
![i \times \sqrt{4(3)}](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B4%283%29%7D%20)
![2i \sqrt{3}](https://tex.z-dn.net/?f=2i%20%5Csqrt%7B3%7D%20)
<h2>
![9. \: \sqrt{ - 125}](https://tex.z-dn.net/?f=9.%20%5C%3A%20%20%5Csqrt%7B%20-%20125%7D%20)
</h2>
![\sqrt{ - 1} \times \sqrt{125}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%201%7D%20%20%5Ctimes%20%20%5Csqrt%7B125%7D%20)
![i \times \sqrt{ {5}^{2} \times 5 }](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B%20%7B5%7D%5E%7B2%7D%20%5Ctimes%205%20%7D%20)
![5i \sqrt{5}](https://tex.z-dn.net/?f=5i%20%5Csqrt%7B5%7D%20)
<h2>
![10. \: \sqrt{ - 180}](https://tex.z-dn.net/?f=10.%20%5C%3A%20%20%5Csqrt%7B%20-%20180%7D%20)
</h2>
![\sqrt{ - 1} \times \sqrt{180}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%201%7D%20%20%5Ctimes%20%20%5Csqrt%7B180%7D%20)
![i \times \sqrt{ {6}^{2} \times 5 }](https://tex.z-dn.net/?f=i%20%5Ctimes%20%20%5Csqrt%7B%20%7B6%7D%5E%7B2%7D%20%5Ctimes%205%20%7D%20)
![6i \sqrt{5}](https://tex.z-dn.net/?f=6i%20%5Csqrt%7B5%7D%20)
<h3>Hope it is helpful...</h3>