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dangina [55]
3 years ago
10

How would the expression x^2-4 be rewritten using Difference of Squares?

Mathematics
1 answer:
Anna [14]3 years ago
3 0
<span>a2 – b2 = (a + b)(a – b) or (a – b)(a + b).
This is the 'Difference of Squares' formula we can use to factor the expression.

In order to use the </span><span>'Difference of Squares' formula to factor a binomial, the binomial must contain two perfect squares that are separated by a subtraction symbol.

</span><span>x^2 - 4 fits this, because x^2 and 4 are both perfect squares, and they are separated by a subtraction symbol.
All you do here to factor, is take the square root of each term.

√x^2 = x
√4 = 2

Now that we have our square roots, x and 2, we substitute these numbers into the form (a + b)(a - b).
</span>
<span>(a + b)(a - b)
(x + 2)(x - 2)

Our answer is final </span><span>(x + 2)(x - 2), which can also be written as (x - 2)(x + 2), it doesn't make a difference which order you put it in.

Anyway, Hope this helps!!
Let me know if you need help understanding anything and I'll try to explain as best I can.</span>
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A cylinder with radius 3 feet and height 5 feet is shown.
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The volume of the cylinder is <u>141.23 cubic feet </u>

Step by step explanation :

<u>Given</u>-

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Now, we know that

<h3>\boxed {\mathfrak \red{ volume \: of \: cylinder = \pi {r}^{2} h}}</h3>

where, r is the radius of the cylinder & h is the height of the cylinder.

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2 years ago
Find each unit rate and determine which is lower.
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In a group of mherchants, 80% of them purchase goods from Asia, and 25% of them purchase goods from Europe. Which of following s
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Answer:

7. 25% of the merchants who purchase goods from Asia also purchase from Europe.

Step-by-step explanation:

I am going to say that:

A is the percentage of merchants who purchase goods from Asia.

B is the percentage of merchants who purchase goods from Europe.

We have that:

A = a + (A \cap B)

In which a is the probability that a merchant purchases goods from Asia but not from Europe and A \cap B is the probability that a merchant purchases goods from both Asia and Europe.

By the same logic, we have that:

B = b + (A \cap B)

Which of following statement is individually sufficient to calculate what percent of the merchants in the group purchase goods from Europe but not form Asia?

We already have B.

Knowing A \cap B, that is, the percentage of those who purchase from both Asia and Europe, we can find b.

So the correct answer is:

7. 25% of the merchants who purchase goods from Asia also purchase from Europe.

8 0
3 years ago
A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% wi
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Answer:

38.11%

Step-by-step explanation:

Given that:

Mean (μ) = 75, standard deviation (σ) = 5

Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:

z=\frac{x-\mu}{\sigma}

To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.

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3 years ago
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