3 years ago

How many pairs of parallel sides does the trapezoid below have

Mathematics

1 answer:

Nonamiya [84]3 years ago

4 0

It has 1 pair of parallel sides.

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Which of the following is a characteristic of all parallelograms?

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Answer:

The opposite sides are always parallel.

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A rectangular prism with a volume of 5 cubic units is filled with cubes with side length of 1/3 unit. How many 1/3 unit cubes do

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What is the completely factored form of this polynomial? 2x5 + 12x3 − 54x

Cloud [144]

Answer:

$2x(x^2-3)(x^2+9)$

Step-by-step explanation:

Given polynomial:

$2x^5+12x^3-54x$

Factor out the common term $2x$ :

$\implies 2x(x^4+6x^2-27)$

To factor the trinomial $x^4+6x^2-27$ :

$\textsf{Let }u=x^2 \implies u^2+6u-27$

Factor the quadratic by finding two numbers that multiply to -27 and sum to 6: 9 and -3

Rewrite the middle term as the sum of these two numbers:

$\implies u^2+9u-3u-27$

Factorize the first two terms and the last two terms separately:

$\implies u(u+9)-3(u+9)$

Factor out the common term (u + 9):

$\implies (u-3)(u+9)$

Substitute back $u=x^2$ :

$\implies (x^2-3)(x^2+9)$

Therefore, the factored form of the given polynomial is:

$\implies 2x(x^2-3)(x^2+9)$

3 0

3 years ago

Read 2 more answers

What is the answer to k/3-2k+4=10

OLEGan [10]

The answer is k = -18/5 and in decimal form its -3.6.

5k/-3 + 4 = 10

5k/-3 = 10 - 4

5k/-3 = 6

-5k = 6 * 3

-5k = 18

k = 18/-5.

3 0

3 years ago