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3 years ago

4/1 sqrt3-sqrt2 rationalize?

1 answer:

8 0

$\dfrac{4}{\sqrt3-\sqrt2}=\dfrac{4}{\sqrt3-\sqrt2}\cdot\dfrac{\sqrt3+\sqrt2}{\sqrt3+\sqrt2}=\dfrac{4(\sqrt3+\sqrt2)}{(\sqrt3)^2-(\sqrt2)^2}\\\\=\dfrac{4\sqrt3+4\sqrt2}{3-2}=4\sqrt3+4\sqrt2$

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Answer:

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Step-by-step explanation:

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4 years ago

What is x in the equation -3(7-2x)+3=8x-10

damaskus [11]

Answer:

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Step-by-step explanation:

−3(7−2x)+3=8x−10

Step 1: Simplify both sides of the equation.

−3(7−2x)+3=8x−10

(−3)(7)+(−3)(−2x)+3=8x+−10(Distribute)

−21+6x+3=8x+−10

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Step 3: Add 18 to both sides.

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Step 4: Divide both sides by -2.

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4 0

3 years ago

Read 2 more answers

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Tasya [4]

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3 years ago

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Ben needs 1 3/8 feet of fabric to make one banner. How many banners can he make from 4 1/2 yards of fabric?

skelet666 [1.2K]

Answer:

x = 9.818

x≈10

The number of banners that can be made are 10

Step-by-step explanation:

We can use the knowledge of proportion to solve this.

First we need to convert yard to feet.

1 yard = 3 foot

4 1/2 yard = y

cross-multiply

y = 4 1/2 × 3

=9/2 × 3

y = $\frac{27}{2}$ feet

This implies 4 1/2 yards = $\frac{27}{2}$ feet

Let x be the numbers of banners needed to make from 4 1/2 yards of fabric.

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$\frac{27}{2}$ feets = x

cross multiply

1 3/8 × x = $\frac{27}{2}$

$\frac{11x}{8}$ = $\frac{27}{2}$

cross-multiply

22x = 216

Divide both-side of the equation by 22

22x/22 = 216/22

x = 9.818

x≈10

The number of banners that can be made are 10

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3 years ago

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Alex Ar [27]

Answer:

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Step-by-step explanation:

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