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2 years ago

What is a rule for the height as an algebraic expression?

Mathematics

1 answer:

salantis [7]2 years ago

8 0

Answer: lenght x widthx height

Step-by-step explanation:

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What is the following product? <br>(4x square root 5x^2 + 2^2 square root 6)^2

tangare [24]

The product is $104 x^{4}+16 \sqrt{30} x^{4}$

Explanation:

The given expression is $\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}$

We need to determine the product of the given expression.

First, we shall simplify the given expression.

Thus, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x \sqrt{5} x+2 x^{2} \sqrt{6}\right)^2$

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)^2$

Expanding the expression, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)$

Now, we shall apply FOIL, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}\right)^{2}+2 ( 2 x^{2} \sqrt{6})(4 x^{2} \sqrt{5})+\left(2 x^{2} \sqrt{6}\right)^{2}$

Simplifying the terms, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=16 \cdot 5 x^{4}+16 \sqrt{30} x^{4}+4 \cdot 6 x^{4}$

Multiplying, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=80 x^{4}+16 \sqrt{30} x^{4}+24 x^{4}$

Adding the like terms, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=104 x^{4}+16 \sqrt{30} x^{4}$

Thus, the product of the given expression is $104 x^{4}+16 \sqrt{30} x^{4}$

7 0

3 years ago

Who can help me please I can't found it

kaheart [24]

Is that 6 square root 1 x 5

6 0

2 years ago

Read 2 more answers

Simplify 5 square root of 7 end root plus 12 square root of 6 end root minus 10 square root of 7 end root minus 5 square root of

Sphinxa [80]

The simplest answer form would be -5 square root of 7 end root + 7 square roots of 6

4 0

2 years ago

Which answer describes the polynomial?

slava [35]

<span>B) Cubic Trinomial It is cubic because it goes up to the 3rd power, as seen in 3x^3. A quadratic function would only go up to the 2nd power, and a quartic function would go to the 4th. It is a trinomial rather than a binomial as it has three terms. The constant is considered as a term. It would be a binomial only if there were two terms.</span>

5 0

3 years ago

Read 2 more answers

Paul rents a car for $30 a day. Write an expression to show the relationship between the number of days Paul rents the car and t

rosijanka [135]

The expression that can be used to show the relationship between the number of days and the total dollars (t) he spends is t = 30d

<h3>How to write expressions</h3>

Cost of renting a car per day = $30
Number of days Paul rents the car = d
Total amount John spends = $t

The equation:

Total = cost per day × number of days

t = 30 × d

t = 30d

Learn more about equation:

brainly.com/question/13763238

3 0

1 year ago