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2 years ago

GIVING BRAINIEST IF CORRECT!! Factor x^4 - 16 completely

Mathematics

1 answer:

ioda2 years ago

8 0

Answer:

$(x^2 + 4)(x + 2)(x - 2)$

Step-by-step explanation:

Hello!

We can use the difference of square method.

<h2>Difference Of Squares (DOS)</h2>

The formula for the DOS is $(a + b)(a - b) = a^2 - b^2$

It is a simple way to factor polynomials.

The criteria:

Has to begin and end with a perfect square
The operation has to be subtraction

<h3>Factor:</h3>

$x^4 - 16$

Begins with a perfect square (x² * x²) and ends with a perfect square (4 * 4)

$(x^2 + 4)(x^2 - 4)$

Warning! Watch out, there may be another DOS!

$x^2 - 4$ is another DOS

$(x^2 + 4)(x + 2)(x - 2)$

The x² + 4 is not a DOS because the operation is addition.

The final factored form is $(x^2 + 4)(x + 2)(x - 2)$

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The angle of elevation to the top of a skyscraper is measured to be 2° from a point on the ground 1 mile from the building. How

Nadusha1986 [10]

See picture below for a geometric view.

Let x = height of building

We use basic trigonometry to find x.

The tangent function = opposite side of right triangle OVER adjacent side of right triangle.

tan(2°) = x/1

Solve for x.

After multiplying both sides by 1 (here 1 represents 1 mile), we get

tan(2°) = x.

We now use the calculator to find x.

In fact, you can take it from here. Use your calculator.

3 0

3 years ago

HELP ASAP!!

Tresset [83]

By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.

This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.

Then:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are <em><u>same-side interior angles</u></em>. Because AB and DC are <em><u>parallel</u></em>, the same-side interior angles must be <em><u>supplementary</u></em> by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

3 0

3 years ago

Read 2 more answers

Factor out the coefficient of the variable 1/2q plus 5/2

Iteru [2.4K]

I believe you do it like this:
1/2 Q+5/2
divide 1/2 into each term
to divide multiply by the reciprocal
1/2 x2/1= 1
5/2 x 2/1=5

1/2(Q+5)

8 0

3 years ago

Juliette made cookies for a bake sale and wants to package the same number of cookies together. If she makes 16 chocolate chip c

pentagon [3]

Answer:

8 cookies

Step-by-step explanation:

We are asked in the above question to find the most number of cookies that would be in the bag.

We solve the above question using the Greatest Common Factor method

We find the factors of 16, 24, 32

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 32 are: 1, 2, 4, 8, 16, 32

Then the greatest common factor is 8.

Therefore, the most number of each type of cookie that will be in the bag is 8 cookies

4 0

3 years ago

HURRYYYYY

Troyanec [42]

Answer:

B is correct.

Step-by-step explanation:

Quadratic Expression (Standard Form) is:

$\displaystyle \large{a {x}^{2} + bx + c}$

To say it simply, the expression must have 2 as the highest degree.

This means that if there are any higher or lower degrees than 2 then they are not quadratic expression.

A choice is not quadratic expression because it has 1 as the highest degree.

B choice is correct because 2 is the highest degree.

C choice is wrong because 3 is the highest degree.

D choice is wrong because it is not a polynomial.

Therefore, B is correct.

7 0

3 years ago