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eduard
3 years ago
7

Simplify. 3^2 · 3^4 · 3^6 A) 3^0 B) 3^10 C) 3^12 D) 3^48

Mathematics
1 answer:
Setler [38]3 years ago
6 0
The answer is C.
The rule is:
When multiplying exponents with like bases, keep the base and add the powers.
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asambeis [7]

Answer:

First, plug-in x and y as 3sin​​θ-2 and 3cos​​​θ+4 into the equation, respectively:

((3\sin (\theta)-2)+2)^2 + ((3\cos (\theta)+4)-4)^2 = 9

Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:

(3\sin(\theta))^2+(3\cos(\theta))^2=9

We can factor out 3^2 = 9 from both equations:

9(\sin(\theta)^2+cos(\theta)^2) = 9

We know from a trigonometric identity that \sin(\theta)^2+cos(\theta)^2 = 1, meaning we can reduce the equation to:

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And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sin​​θ-2 and y=3cos​​​θ+4.

Hope this helped you.

7 0
3 years ago
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Answer:

Step-by-step explanation:

if he can walk 0.5 miles in 6 minutes at a constant rate then you can say that he can walk 1 mile in 12 minutes.

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2 years ago
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Answer:

Step-by-step explanation:

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