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tiny-mole [99]
3 years ago
6

WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
6 0

Answer:

A

Step-by-step explanation:

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Solve each equation for the missing variable. If your answer is not an integer, write it as an improper fraction.
FromTheMoon [43]

First example:

Subtract the 8n on both sides to get the variable on one side of the equation. Do the same for the regular numbers. Then divide by -3.

5n-14=8n+4\\ \\ 5n-8n=4+14 \\ \\ -3n=18\\ \\ n=-6

This should be your final answer.

Second Example:

Do the same thing as explained in Example 1. Here's some work to help guide you.

-15 - 5a + 4 = -2 + 30a + 26\\ \\ -5a-30a=-2+26+15\\ \\ -35a=39\\ \\ a = \frac{39}{-35}

That should be your final answer here.

Third Example:

3 - 9x = -8x + 25\\ \\ -9x+8x=25-3\\ \\ -x=22\\ \\ x=-22

Hope this helps and its understandable! Let me know if you still don't understand.

4 0
3 years ago
Read 2 more answers
Solve for c<br> -38+-75c≥37
harina [27]
C= -1 because when you add 38 to the other side you are left with -75c=75 then divide by -75 and you are left with -1
3 0
3 years ago
Prove that<br> 1+cosθ+sinθ/1+cosθ-sinθ = 1+sinθ/cosθ
marusya05 [52]

Step-by-step explanation:

(1 + cos θ + sin θ) / (1 + cos θ − sin θ)

Multiply by the reciprocal:

(1 + cos θ + sin θ) / (1 + cos θ − sin θ) × (1 + cos θ + sin θ) / (1 + cos θ + sin θ)

(1 + cos θ + sin θ)² / [ (1 + cos θ − sin θ) (1 + cos θ + sin θ) ]

(1 + cos θ + sin θ)² / [ (1 + cos θ)² − sin² θ) ]

Distribute and simplify:

(1 + cos θ + sin θ)² / (1 + 2 cos θ + cos² θ − sin² θ)

[ 1 + 2 (cos θ + sin θ) + (cos θ + sin θ)² ] / (1 + 2 cos θ + cos² θ − sin² θ)

(1 + 2 cos θ + 2 sin θ + cos² θ + 2 sin θ cos θ + sin² θ) / (1 + 2 cos θ + cos² θ − sin² θ)

Use Pythagorean identity:

(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (sin² θ + cos² θ + 2 cos θ + cos² θ − sin² θ)

(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (2 cos² θ + 2 cos θ)

(1 + cos θ + sin θ + sin θ cos θ) / (cos² θ + cos θ)

Factor:

(1 + cos θ + sin θ (1 + cos θ)) / (cos θ (1 + cos θ))

(1 + cos θ)(1 + sin θ) / (cos θ (1 + cos θ))

(1 + sin θ) / cos θ

3 0
3 years ago
I don’t understand helpppppooppoppppp
liraira [26]

Answer:

length is 20 and the width is 5

Step-by-step explanation:

so Area is 100

Area = width * length

legth = 4 * width

This means:

Area = width * 4 width =>  Area = 5 * width

We know that area is 100 so:

100 = 5 * width

that means width = 20, but wait didn't I say that the length is 20? Yes, remember we said length = 4 * width at the beginning, so <u>length = 20</u>.

Now we can easily calculate width as width is 4 times smaller than length, so:

<u>width = 20/4 => 5</u>

We can also test if this is correct by simply using the formula to calculate rectangle. So 5 * 20 = 100, correct!

7 0
3 years ago
In your own words, explain why solving 4=2x uses the Division Property of Equality. Provide an example with your explanation.
balandron [24]
Solving 4=2x is using the division property because in order to get the last portion of that answer u have to divide both sides by 2x to get x by itself
For example
4=2x to get x by itself you have to divide both sides by 2x
And your final answer would be
x is equal to 2 (x=2)
4 0
3 years ago
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