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BabaBlast [244]
3 years ago
10

Can someone please explain this problem step by step? Thank you sooooooooooooo much!

Mathematics
1 answer:
love history [14]3 years ago
7 0

Explanation:

Use the Pythagorean identity, cancel common factors, and divide numerator and denominator by cos(x). Equivalently, multiply numerator and denominator by sec(x).

\dfrac{\sin^2{x}+2\cos{x}-1}{\sin^2{x}+3\cos{x}-3}=\dfrac{1-\cos^2{x}+2\cos{x}-1}{1-\cos^2{x}+3\cos{x}-3} \qquad\text{replace $\sin^2$ with $1-\cos^2$}\\\\=\dfrac{\cos{x}(2-\cos{x})}{(\cos{x}-1)(2-\cos{x})}=\dfrac{\cos{x}}{\cos{x}-1}=\dfrac{1}{\dfrac{\cos{x}}{\cos{x}}-\dfrac{1}{\cos{x}}}=\dfrac{1}{1-\sec{x}}

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5x=4y make x the subject
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Answer:

x = \frac{4y}{5}

Step-by-step explanation:

5x = 4y\\\rule{150}{0.5}\\\frac{5x=4y}{5}\\\\\boxed{x = \frac{4y}{5}}

Hope this helps.

4 0
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The actual length of side y is 22 cm. Use the scale drawing to find the actual length of side x. A) 15.2 cm B) 17.1 cm C) 18.0 c
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Step-by-step explanation:

You have the following information given in the problem above:

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Thefore, to calculate the number of units she sold in the next quarter (which you can call x), you must can apply the following proccedure:

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4 0
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SOLUTION: a diver jumps from a diving board that is 24 feet above the water. the height of the diver is given by h= -16(t-1.5)(t
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Answer:

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Given

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Required (Missing from the question)

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To do this, we simply solve for t

When the diver hits the water, the height is 0 (at that point)

So, substitute 0 for h in h= -16(t-1.5)(t+1)

0= -16(t-1.5)(t+1)

Divide both sides by -16

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0 =(t-1.5)(t+1)

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Split

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Solve for t

t = 1.5 or t = -1

But time (t) can not be negative.

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t = 1.5

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