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3 years ago

What is the following simplified product? Assume x>0 2 sqrt 8x^3(3 sqrt 10x^4-x sqrt 5x^2

Mathematics

2 answers:

Naddika [18.5K]3 years ago

5 0

Answer:B

Step-by-step explanation:

It’s on edge

Nastasia [14]3 years ago

3 0

Answer: $\bold{24x^3\sqrt{5x}-4x^3\sqrt{10x}}$

Step-by-step explanation:

$2\sqrt{8x^3}\ (3\sqrt{10x^4}-x\sqrt{5x^2})\\\\2\sqrt{8x^3}\cdot 3\sqrt{10x^4}\ -\ 2\sqrt{8x^3}\cdot x\sqrt{5x^2}\quad \rightarrow \quad \text{applied distributive property}\\\\2\cdot 3\sqrt{8x^3\cdot10x^4}\ -\ 2\cdot x\sqrt{8x^3\cdot5x^2}\quad \rightarrow \quad \text{multiplied "outsides" and "insides"}$

Evaluate each one separately:

$6\sqrt{\underline{2\cdot2}\cdot\underline{2\cdot2}\cdot5\cdot \underline{xx}\cdot \underline{xx}\cdot \underline{xx}\cdot x} = 6\cdot 2\cdot2\cdot x\cdot x\cdot x\sqrt{5x}=\boxed{24x^3\sqrt{5x}}\\\\2x\sqrt{\underline{2\cdot2}\cdot2\cdot5\cdot \underline{xx}\cdot \underline{xx}\cdot x}=2x\cdot 2\cdot x\cdot x\sqrt{2\cdot5\cdot x}=\boxed{4x^3\sqrt{10x}}$

The terms cannot be combined because they have different radicals (insides).

$\boxed{24x^3\sqrt{5x}}-\boxed{4x^3\sqrt{10x}}$

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cupoosta [38]

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3 years ago

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OverLord2011 [107]

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3 years ago

Use the distributive property to express 15+45

Nuetrik [128]

Answer:
15(1+3)

Explanation:
The distributive property can be generally expressed as follows:
ab + ac = a(b+c)

The given expression is:
15 + 45

We know that:
15 = 1*15
45 = 3*15

Therefore, the given expression can be written as:
1*15 + 3*15

Taking 15 as a common factor and applying the above rule, we will reach the following expression:
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Hope this helps :)

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3 years ago

A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 22 feetfeet less than th

ivann1987 [24]

So basically the ladder is creating a right triangle with the ground and the wall. Ladder is the hypotenuse (h), building = b, ground = g
b = h - 22 ft
g = 1010 ft
use Pythagorean Theorem to determine the length of h:
${c}^{2} = {a}^{2} + {b}^{2} \\ {h}^{2} = {(h - 22)}^{2} + {1010}^{2} \\ {h}^{2} = {h}^{2} - 44h + 484 + 1020100$
The h^2 terms cancel out to = 0
$0 = - 44h + 484 + 1020100 \\ 44h = 1020584 \\ 44h \div 44 = 1020584 \div 44 \\ h = 23195.1 \: feet$

7 0

3 years ago

PLZ HLP I DONT KNOW

bekas [8.4K]

It’s 1 hope it helps

3 0

3 years ago

Read 2 more answers