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3 years ago

(3v^4 - 2) - (7v^4 + 6)

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

5 0

So firstly, you want to foil - (7v^4 + 6) [Think of the minus sign as -1]: $3v^4 - 2 - 7v^4 - 6$

Next, combine like terms and your answer will be: $-4v^4-8$

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Which one does it simplify to? please

9966 [12]

Answer:

$1 + { \sin} \theta$

Step-by-step explanation:

$\frac{ { \cos}^{2} \theta}{1 - \sin \theta} \\ \\ = \frac{ { \cos}^{2} \theta}{(1 - \sin \theta)} \times \frac{(1 + \sin \theta)}{(1 + \sin \theta)} \\ \\ = \frac{{ \cos}^{2} \theta(1 + { \sin} \theta)}{(1 - { \sin}^{2} \theta)} \\ \\ = \frac{{ \cancel{ \cos}^{2} \theta}(1 + { \sin} \theta)}{ \cancel{{ \cos}^{2} \theta}} \\ \\ = 1 + { \sin} \theta$

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2 years ago

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6x - 8 = 16 <br> Solve the following equation. Then place the correct number in the box provided.

musickatia [10]

Answer:

x = 4

Step-by-step explanation:

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Add 8 to both sides.

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Divide both sides by 6.

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2 years ago

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Please could you explain this step by step I’m really stuck.

allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

$\frac{5}{x + 3} + \frac4{x + 2} = 2$
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$5 + \frac{4x + 12}{x + 2} = 2x + 6$
$5(x + 2) +4x + 12 = (2x + 6)(x + 2)$
$5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12$
$9x + 22 = 2x^2 + 10x + 12$

Let's make one side equal to 0.

$0 = 2x^2 + x - 10$

Solve by factoring, and then the zero product property.

$0 = 2x^2 + x - 10\\$

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, $ax^2 + bx + c$ , think two numbers that equal "ac" and add up to "b".