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3 years ago

Clear parenthesis and combine like terms. -2(x-4) -3(x+2y) Show all the work.

Mathematics

2 answers:

Nimfa-mama [501]3 years ago

6 0

Answer: -5x + 8 - 6y

Step-by-step explanation:

<u>Given expression</u>

-2 (x - 4) - 3 (x + 2y)

<u>Expand parentheses and apply the distributive property</u>

= -2x + 8 - 3x - 6y

<u>Combine like terms</u>

= (-2x - 3x) + 8 - 6y

= $\boxed{-5x+8-6y}$

Hope this helps!! :)

Please let me know if you have any questions

Helen [10]3 years ago

4 0

Answer:

-5x - 6y + 8

Step-by-step explanation:

-2(x - 4) -3(x + 2y)

-2x + 8 - 3x - 6y

-5x - 6y + 8

Hope this helps!

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Marco can finish a jigsaw puzzle in 3 hours. Working together with Cliff, it takes them 1 hour. How

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Macro can finish the puzzle in 3 hours. We can say that her speed for working is 1/3 or 1/3 puzzle per hour.

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2 years ago

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faust18 [17]

399.6 square meters
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2 years ago

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Keith_Richards [23]

Answer:

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2 years ago

Find the area of the region which is inside the polar curve r=5sin(θ) but outside r=4. Round your answer to four decimal places

natka813 [3]

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be 3.75 square units.

<h3>What is an area bounded by the curve?</h3>

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be

Then the intersection point will be given as

$\rm 5 \sin \theta = 4\\\\\theta = 0.927 , 2.214$

Then by the integration, we have

$\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214}[ (5 \sin \theta)^2 - 4^2] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [25\sin ^2 \theta - 16] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [ \dfrac{25}{2}(1 - \cos 2\theta ) - 16] d\theta \\$

$\rightarrow \dfrac{1}{2} [\dfrac{25 \theta }{5} - \dfrac{25 \cos 2\theta }{2} - 16\theta]_{0.927}^{2.214} \\\\\\\rightarrow \dfrac{1}{2} [\dfrac{25(2.214 - 0.927) }{5} - \dfrac{25 (\cos 2\times 2.214 - \cos 2\times 0.927) }{2} - 16(2.214 - 0.927]\\$