The volume of the prism would be enlarged by a factor of 8
<h3>How to determine the effect?</h3>
The scale factor is given as:
k = 2
Let the initial volume be v and the final volume be V.
The relationship between both volumes is
V = k^3 * v
This gives
V = 2^3 * v
Evaluate
V = 8v
Hence, the volume of the prism would be enlarged by a factor of 8
Read more about dilation at:
brainly.com/question/3457976
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Answer:
9
Step-by-step explanation:
<2 + 95 = 180 straight line
<2 = 180-95 = 85
right angle +144 + <2 + <1 = 360 degrees ( quadrilateral)
substitute knowns
90 +144 +85 +<1 = 360
combine like terms
319 +<1 =360
<1 =41
If you mean
, then the answer is 3.
In fact, rational exponents work like this:
![a^{\frac{b}{c}}=\sqrt[c]{a^b}](https://tex.z-dn.net/?f=%20a%5E%7B%5Cfrac%7Bb%7D%7Bc%7D%7D%3D%5Csqrt%5Bc%5D%7Ba%5Eb%7D%20)
So, in your case,
![27^{\frac{1}{3}}=\sqrt[3]{27} = 3](https://tex.z-dn.net/?f=%2027%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D%5Csqrt%5B3%5D%7B27%7D%20%3D%203%20)
because 
Answer:
A. (f+g)(x) means add the two functions, f and g
since f is 2x-2 and g is 6x, you'll just add them together
(f+g)(x)=2x-2+6x = 8x+2
B. (f-g)(x) means subtract the two functions, f and g
since f is 2x-2 and g is 6x, you'll just subtract
(f-g)(x)=2x-2-6x = -4x+2
C. (g-f)(x) I think you're getting the hang of it!
=6x-(2x-2) just be sure to put the second function in parentheses because you're subtracting the whole thing
=6x-2x+2 = 4x+2
D. (g+f)(x) try this on your own and check here
6x+(2x-2) = 6x+2x-2 = 8x-2
Step-by-step explanation:
to add or subtract functions, don't let the function notation throw you off. Pretend each one is just a number and you just add or subtract the whole thing. You got it! Next they will give you something like find (f+g)(5). All that means is add the two functions like in part a, and then in the final answer, plug in 5 instead of x. For example (f+g)(5) = 8x+2 = 8(5) +2 = 42
:)