Answer:
![6 in](https://tex.z-dn.net/?f=6%20in)
Step-by-step explanation:
The side length of the square is 18 inches.
If the this square is dilated by a scale factor of
, then the length of the resulting square can be calculated by multiplying the scale factor by the side length of the original square.
The side length of the resulting square is ![=\frac{1}{3}\times 18=6in](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%2018%3D6in)
Therefore the resulting square is 6 inches long.
Answer:
16 rides
Step-by-step explanation:
80 tickets divided by 5 tickets/1 ride = 16 rides
Answer:
B. g(x) = 3x^3.
Step-by-step explanation:
In general a f(x) stretches vertically the graph of f(x) by a factor a.
Answer:
Is
Step-by-step explanation:
Is there more information?
Start by finding the numbers that go into 27. 1, 27...3, 9...I think that's it, right? One of those numbers is a perfect square. The 9. Rewrite the radical like this then:
![\sqrt{27} = \sqrt{9*3}](https://tex.z-dn.net/?f=%20%5Csqrt%7B27%7D%20%3D%20%5Csqrt%7B9%2A3%7D%20)
Now break up the 9 into its perfect square:
![\sqrt{(3*3)*3}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%283%2A3%29%2A3%7D%20)
Because there are 3 3's you can pull out the root of 9, which is one of those 3's. It will then simplify to
![3 \sqrt{3}](https://tex.z-dn.net/?f=3%20%5Csqrt%7B3%7D%20)
If you had the square root of 8, that would simplify to
![\sqrt{8} = \sqrt{4*2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B8%7D%20%3D%20%5Csqrt%7B4%2A2%7D%20)
4 is a prfect square (2 times 2), so you can pull out a 2, leaving the other 2 under the radical
![\sqrt{4*2} = \sqrt{(2*2)*2} =2 \sqrt{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B4%2A2%7D%20%3D%20%5Csqrt%7B%282%2A2%29%2A2%7D%20%3D2%20%5Csqrt%7B2%7D%20)
Hope that makes sense. If you'd like some more examples to help clarify, just ask!