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3 years ago

Select the polynomial that is a perfect square trinomial.

Mathematics

1 answer:

Alina [70]3 years ago

6 0

Answer:

16x^2 -8x +1

Step-by-step explanation:

The square of a binomial expands as ...

(a +b)^2 = a^2 +2ab +b^2

So, you need to look for a trinomial with first and last terms that are perfect squares and a middle term that is double the product of the roots of those terms.

This pattern matches ...

16x^2 -8x +1 = (4x -1)^2

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3 years ago

A ball is thrown in the air from a height of 3 m with an initial velocity of 12 m/s. To the nearest tenth of a second, how long

wel

Answer: 0.3m/s

Step-by-step explanation:

Height/ velocity

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3 years ago

Tell which rule applies to each expression

tankabanditka [31]

Answer:

1. Product

2. Power

3. Quotient

Step-by-step explanation:

1. It is multiplying.

2. Honestly it’s really distribution, but process of elimination it’s power because…

3. Is division.

I hope this helps, good luck! :)

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3 years ago

Read 2 more answers

Factorise or simplify<br><br>4a² - 8ab²

Alex73 [517]

Answer: I think it would be 4a(a−2b squared)

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2 years ago

A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per

Art [367]

Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by $h(t) = -16\cdot t^{2}+12\cdot t +10$ , where $h(t)$ is the height in feet and $t$ , the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

$-16\cdot t^{2}+12\cdot t +10 = 10$

$-16\cdot t^{2}+12\cdot t = 0$

Then, we simplify the expression by algebraic means:

$-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0$

Roots of the polynomial are, respectively:

$t = 0\,s\,\lor \,t = 0.75\,s$

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

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3 years ago