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den301095 [7]
3 years ago
12

Which expression demonstrates the distributive property applies to the expression 4(3+7)

Mathematics
2 answers:
VladimirAG [237]3 years ago
8 0

Answer:

D would be the answer, since , 4 would distribute to the 3, and the 7.

4(3) + 4(7)

Step-by-step explanation:

Soloha48 [4]3 years ago
3 0

Answer:

Step-by-step explanation:

It applies because you have to distribute 4 to 3 and 7 by multiplying

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The maximum value of 12 sin 0-9 sin²0 is: -​
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Answer:

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Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be \theta rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

f(\theta) = 12sin(\theta) - 9 sin^2(\theta)

Taking the first derivative of this with respect to \theta and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of f(\theta) w.r.t \theta is

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And setting this = 0 gives

12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0

Eliminating cos(\theta) on both sides and solving for sin(\theta) gives us

sin(\theta) = \frac{12}{18} = \frac{2}{3}

Plugging this value of sin(\theta) into the original equation gives us

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