Answer:
1
Step-by-step explanation:
First, convert all the secants and cosecants to cosine and sine, respectively. Recall that
and
.
Thus:


Let's do the first part first: (Recall how to divide fractions)

For the second term:

So, all together: (same denominator; combine terms)

Note the numerator; it can be derived from the Pythagorean Identity:

Thus, we can substitute the numerator:

Everything simplifies to 1.
Answer: The slope is 15/4.
Step-by-step explanation:
M = (y2 - y1)/(x2 - x1)
M = (5 - (-10))/(-1 - (-5))
M = (5 + 10)/(-1 + 5)
M = 15/4
Answer:
mmmmmmmkk
Step-by-step explanation:
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Define length and width
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Let x be the width
width = x
Length = 2x + 4
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Formula
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Perimeter = 2(length + width)
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Find Length and width
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62 = 2(2x + 4 + x)
62 = 2(3x + 4) <em> ← combine like terms </em>
62 = 6x + 8 <em>← remove bracket </em>
62 - 8 = 6x <em>← minus 8 on both sides </em>
6x = 54 <em> ← swap sides </em>
x = 54 ÷ 6 <em>← divide by 6 on both sides</em>
<em>x = 9 m</em>
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Find Length and Width
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Width = x = 9 m
Length = 2x + 4 = 2(9) + 4 = 22 m
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Answer: Length = 22m
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