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2 years ago

Simplify the rationalizing factor

Mathematics

1 answer:

LekaFEV [45]2 years ago

6 0

$\frac{x + y + x - y}{2xy}$

$= \frac{2x}{2xy} = \frac{1}{y}$

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Answer:

slope=(2--10)/(-4-2)=12/-6=-2

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3 years ago

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3 years ago

Prove that tan 10+tan 70'+taniou = tanio tanfo'tam 1oo.

Galina-37 [17]

Question:

Prove that:

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Answer:

Proved

Step-by-step explanation:

Given

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Required

Prove

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Subtract tan(10) from both sides

$- tan(10)+tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)$

$tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)$

Factorize the right hand size

$tan(70) + tan(100) = -tan(10)(-tan(70). tan(100) + 1)$

Rewrite as:

$tan(70) + tan(100) = -tan(10)(1-tan(70). tan(100))$

Divide both sides by $1-tan(70). tan(100)$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = \frac{-tan(10)(1-tan(70). tan(100))}{1-tan(70). tan(100))}$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)$

In trigonometry:

$tan(A + B) = \frac{tan(A) + tan(B)}{1 - tan(A)tan(B)}$

So:

$\frac{tan(70) + tan(100)}{1 - tan(70)tan(100)}$ can be expressed as: $tan(70 + 100)$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)$ gives

$tan(70 + 100) = -tan(10)$

$tan(170) = -tan(10)$

In trigonometry:

$tan(180 - \theta) = -tan(\theta)$

So:

$tan(180 - 10) = -tan(10)$

Because RHS = LHS

Then:

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$ has been proven

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3 years ago

How do you factor this

Sladkaya [172]

It is not factorable.

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3 years ago

You got a job selling books at the mall. You are paid $70 per day plus $2 for each book you sell. Which recursive formula models

lina2011 [118]

Answer:

f(x) = 70 + 2x

Step-by-step explanation:

In this problem, we first need to consider how much we get per day.

$70 is our constant.

$2 will be dependent on the number of books sold.

Here 'x' will represent the number of books sold.

f(x) = 70 + 2x

Now let's try it out.

Let's say we sold 0 books

f(0) = 70 + 2(0) = 70

This shows us that we only get our constant pay.

Now let's try for 1 or more books.

f(1) = 70 + 2(1) = 72

f(2) = 70 + 2(2) = 74

So the recursive formula f(x) = 70 + 2x is a good formula to model the situation.

7 0

4 years ago

Read 2 more answers

Simplify the rationalizing factor​

Simplify the rationalizing factor