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2 years ago

Simplify ¼(8m-4n) + ⅓(6m+3n)?

Mathematics

1 answer:

grandymaker [24]2 years ago

7 0

Answer: 4m

Step-by-step explanation:

1/4(8m-4n)+1/3(6m+3n) given

2m-1n+2m+1n distribute (1n is just n)

4m-n+n add 2m and 2m (add like terms)

4m the n's cancel out and leave 4m (add like terms)

Hope this helps!

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angle K and angle L are complementary angels. If the measurement of angle K =(3x+3) and the measurement of angle L =(10x-4).what

spayn [35]

The measurement of two angles is 24° and 66°

Step-by-step explanation:

First of all, let us define complementary angles

The angles whose sum is 90° are called complementary angles

Given

∠K = (3x+3)

∠L = (10x-4)

According to the definition,

$K+L = 90\\3x+3 + 10x-4 = 90\\13x -1 = 90\\13x-1+1 = 90+1\\13x = 91$

Dividing both sides by 13

$\frac{13x}{13} = \frac{91}{13}\\x = 7$

So,

∠K = 3x + 3 = 3(7) + 3 = 21+3 = 24°

∠L = 10x - 4 = 10(7) -4 =70 -4 = 66°

Hence,

The measurement of two angles is 24° and 66°

Keywords: Complementary angles, Angles

Learn more about complementary angles at:

#LearnwithBrainly

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3 years ago

What is square root of 64?

3241004551 [841]

Answer:

Step-by-step explanation:

8*8=64

5 0

3 years ago

What is the general equation of a line?

zheka24 [161]

That sir would be I think its y=mx+b

7 0

3 years ago

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What basic trigonometric identity would you use to verify that (sin2x + cos2x)/cosx=secx

Oksana_A [137]

Answer:

Step-by-step explanation:

sin(2x) = 2 sin(x) cos(x) cos(2x) = cos2(x) – sin2(x) = 1 – 2 sin2(x) = 2 cos2(x) – 1. Now I am not sure if this is right but I remember another similar formula. Here is the correct formula cot x = cos x / sin x

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1/cos x = sec x

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cos² x + sin² x = 1

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2 years ago

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The O! Natural Company sells a juice in 1 gallon bottles. The current retail price of the juice is $3.50 for 1 gallon. In order

cluponka [151]

Answer:

After the discount, the customer will pay only 91.4% of the initial price.

Step-by-step explanation:

We have that the price of the current retailer, in dollars, is:

3.50

After the discount, the new price, in dollars, is:

3.20

We want to know what percentage of the original price is the final price.

To find out, we must divide the final price between the initial price and then multiply the result by 100%

So:

$\frac{
3.20}{3.50}$ *100% = 0.914. * 100% = 91.4%

After the discount, the customer will pay only 91.4% of the initial price.

The discount percentage you are going to pay is 100% -91.4% = 8.6% of the initial price

8 0

3 years ago