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3 years ago

Simplify the sum. (7u3 + 4u2 + 7) + (7u3 – 6u + 4)

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

7 0

Answer:

$14u^{3}+4u^{2}-6u+11$

Step-by-step explanation:

The question is to simplify $(7u^{3}+4u^{2}+7)+(7u^{3}-6u+4)$

<em>We combine like terms, as in, combine cubes with cubes, squares with squares, numbers with numbers and so on.</em>

There are 2 cubed terms, so they should be combined.
There are 2 numbers, so they should be combined.
Others, leave as is.

So we have:

$(7u^{3}+4u^{2}+7)+(7u^{3}-6u+4)\\(7u^3+7u^{3})+4u^{2}-6u+(7+4)\\14u^{3}+4u^{2}-6u+11$

This is the simplified form of the sum given.

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Answer:

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Step-by-step explanation:

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3 years ago

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Oksana_A [137]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

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(1) + (4)

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Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

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28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

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3 years ago

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What is the height, x, of the equilateral triangle?

e-lub [12.9K]

Using the Pythagorean Theorem, the height of the equilateral triangle is given by:

A. $h = 7\sqrt{3}$ inches.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs $l_1$ and $l_2$ of a right triangle with the length of the hypotenuse h, according to the following equation:

$h^2 = l_1^2 + l_2^2$

For this problem, we have that:

The height is one side of the triangle.

The other side is half the length, of 7 in.

The hypotenuse is the length, of 14 in.

Hence the height is found as follows:

$h^2 + 7^2 = 14^2$

$h = \sqrt{147}$

$h = \sqrt{49 \times 3}$

$h = 7\sqrt{3}$ inches.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

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