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2 years ago

What is the completely factored form of p4 – 16?

Mathematics

2 answers:

Svetlanka [38]2 years ago

8 0

Answer:

(p+2)(p-2)(p²+4)

Step-by-step explanation:

The binomial p⁴-16 is a difference of squares. This is because p⁴ is a perfect square, as is 16. This means we can write it as the sum of the square roots multiplied by the difference of the square roots:

(p²+4)(p²-4)

The first binomial, p²+4, cannot be factored any further.

The second binomial, p²-4, is another difference of squares, since p² is a perfect square, as is 4:

(p+2)(p-2)

This gives us

(p²+4)(p+2)(p-2)

hjlf2 years ago

8 0

It's D. (P-2)(P+2)(P^2+4)

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2 years ago

Dante runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

denis23 [38]

<h2>Answer: 2.8 miles</h2>

Step-by-step:

We can write it in the proportion $\frac{7}{60} = \frac{x}{24}$

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We now cross multiply or use the butterfly method which I will demonstrate both

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We multiply the numerator with the dominator

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<h3>Butterfly Method </h3>

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2 years ago

Are rectangles ABCD and WXYZ congruent? Why or why not? Yes, all right angles were preserved. Yes, both rectangles have an area

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Answer:

D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Step-by-step explanation:

Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.

Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

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Answer:

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