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3 years ago

What is the difference of (-3x-9) and (-5x-2)

Mathematics

1 answer:

hodyreva [135]3 years ago

4 0

Answer:

The (-3x-9)=27 and (-5x-2)=10

Step-by-step explanation:

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svlad2 [7]

The answer would be the second one.

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3 years ago

PROVE THAT:<br><br>cos 20° - sin 20° = \sqrt{2}sin25°<br><br>

Lemur [1.5K]

Answer:

See below.

Step-by-step explanation:

$\cos(20)-\sin(20)=\sqrt{2}\sin(25)$

First, use the co-function identity:

$\sin(90-x)=\cos(x)$

We can turn the second term into cosine:

$\sin(20)=\sin(90-70)=\cos(70)$

Substitute:

$\cos(20)-\cos(70)=\sqrt{2}\sin(25)$

Now, use the sum to product formulas. We will use the following:

$\cos(x)-\cos(y)=-2\sin(\frac{x+y}{2})\sin(\frac{x-y}{2})$

Substitute:

$\cos(20)-\cos(70)=-2\sin(\frac{20+70}{2})\sin(\frac{20-70}{2})\\\cos(20)-\cos(70) =-2\sin(45)\sin(-25)\\\cos(20)-\cos(70)=-2(\frac{\sqrt{2}}{2})\sin(-25)\\ \cos(20)-\cos(70)=-\sqrt{2}\sin(-25)$

Use the even-odd identity:

$\sin(-x)=-\sin(x)$

Therefore:

$\cos(20)-\cos(70)=-\sqrt{2}\sin(-25)\\\cos(20)-\cos(70)=-\sqrt{2}\cdot-\sin(25)\\\cos(20)-\cos(70)=\sqrt{2}\sin(25)$

Replace the second term with the original term:

$\cos(20)-\sin(20)=\sqrt{2}\sin(25)$

Proof complete.

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4 years ago

6846 is shared equally between 7 people. How much does each person get

riadik2000 [5.3K]

answer: 978

steps: 6846 divided by 7

comments: brah

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3 years ago

Read 2 more answers

What are the missing numbers in the sequence below?

stealth61 [152]

Answer:

8.4 , 7.7

Step-by-step explanation:

- 0.7

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A park ranger stated that the Maple to pine tree ratio in the park was 7:5 if an area you count 60 pine trees about how many map

blsea [12.9K]

Answer:

84 maples

Check the File Below:

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3 years ago