Answer:
27
Step-by-step explanation:
The formula for the volume of a cube is given as
. if s=3in, then V=27inches cubed.
Answer: xz=60
Step-by-step explanation:
2(x+4) = 3x-3
2x+8 = 3x-3
8+3 = 3x-2x
11 = x
xz = 2(2(x+4))
xz = 4(11+4)
xz = 60
Answer:
Use the Pythagorean theorem
Step-by-step explanation:
The pythagorean theorem is
where a is a height, b is a height, and c is the hypotenuse, which is the longest side of a triangle. For example, if the triangle has two side with lengths of three and four we would put them into the equation to get:
![3^{2} +4^{2} =c^{2}](https://tex.z-dn.net/?f=3%5E%7B2%7D%20%2B4%5E%7B2%7D%20%3Dc%5E%7B2%7D)
Simplify the equation to get:
![9+16=c^2](https://tex.z-dn.net/?f=9%2B16%3Dc%5E2)
Add 16 and 9 to get 25 and take the square root of both sides:
![\sqrt{25} =c](https://tex.z-dn.net/?f=%5Csqrt%7B25%7D%20%3Dc)
The sqrt of 25 is 5. Therefore, the length of the hypotenuse, or c, is 5.
Answer:
![5(x-y)](https://tex.z-dn.net/?f=5%28x-y%29)
Step-by-step explanation:
The distributive property of multiplication over subtraction says
![a\cdot b-a\cdot c=a\cdot (b-c)](https://tex.z-dn.net/?f=a%5Ccdot%20b-a%5Ccdot%20c%3Da%5Ccdot%20%28b-c%29)
Rewrite given expression
as follows:
![5\cdot x-5\cdot y](https://tex.z-dn.net/?f=5%5Ccdot%20x-5%5Ccdot%20y)
Now, you can see that number 5 has the role of
and you can rewrite this expression as
![5\cdot (x-y)](https://tex.z-dn.net/?f=5%5Ccdot%20%28x-y%29)
which is equivalent to
![5(x-y)](https://tex.z-dn.net/?f=5%28x-y%29)