Answer:
![a = \sqrt{21}](https://tex.z-dn.net/?f=a%20%20%3D%20%20%5Csqrt%7B21%7D%20)
Step-by-step explanation:
- Pythagorean theorem
![\sqrt{a ^{2} + b ^{2} } = c \\ \sqrt{c ^{2} - b ^{2} } = a](https://tex.z-dn.net/?f=%20%5Csqrt%7Ba%20%5E%7B2%7D%20%20%2B%20b%20%5E%7B2%7D%20%20%20%7D%20%20%3D%20c%20%5C%5C%20%20%5Csqrt%7Bc%20%5E%7B2%7D%20-%20b%20%5E%7B2%7D%20%20%7D%20%20%3D%20a)
![\sqrt{5 ^{2} - 2 ^{2} } = \sqrt{21}](https://tex.z-dn.net/?f=%20%5Csqrt%7B5%20%5E%7B2%7D%20-%202%20%5E%7B2%7D%20%20%7D%20%20%3D%20%20%5Csqrt%7B21%7D%20)
Answer:
It is already in simplest form :)
Step-by-step explanation:
5/8=5/8
I hope this helps :)
My answer got deleted last time I'm not sure why but here it is again :D
Also please don't just answer question randomly and put you are not sure for the answers when you are answering the question, other people might actually need help :(
Answer:
x=1056.25
Step-by-step explanation:
(2x)(2x)(55)=(65)(65)(55) Multiply
4x(55)=232375 Divide 55 from each side
4x=4225 Divide each side by 4
x=1056.25
Answer:
D) 1.0
Step-by-step explanation:
if y = 1 then x = 1
Area of the entire rectangle ![=x^2+10x+24](https://tex.z-dn.net/?f=%3Dx%5E2%2B10x%2B24)
Solution:
Area of the blue box = length × width
![=x\times x](https://tex.z-dn.net/?f=%3Dx%5Ctimes%20x)
Area of the blue box ![=x^2](https://tex.z-dn.net/?f=%3Dx%5E2)
Area of the pink box = length × width
![=4\times x](https://tex.z-dn.net/?f=%3D4%5Ctimes%20x)
Area of the pink box ![=4x](https://tex.z-dn.net/?f=%3D4x)
Area of the green box = length × width
![=6\times x](https://tex.z-dn.net/?f=%3D6%5Ctimes%20x)
Area of the green box ![=6x](https://tex.z-dn.net/?f=%3D6x)
Area of the orange box = length × width
![=6\times 4](https://tex.z-dn.net/?f=%3D6%5Ctimes%204)
Area of the orange box = 24
Total area of the rectangle ![=x^2+4x+6x+24](https://tex.z-dn.net/?f=%3Dx%5E2%2B4x%2B6x%2B24)
![=x^2+10x+24](https://tex.z-dn.net/?f=%3Dx%5E2%2B10x%2B24)
Area of the entire rectangle