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3 years ago

-11 = -5 + 6n + 6 WHAT DOES "N" EQUAL?

Mathematics

1 answer:

kifflom [539]3 years ago

7 0

-11= -5+6n+6
-11+5-6=6n
-12=6n
n= -2

(hope i helped :D!)

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Verify the identity tan(???? − ????) = tan(????)−tan(????) / 1+tan (????) tan(????) for all (???? − ????) ≠ ???? / 2 + ????n.

Anna11 [10]

Answer:

See the proof below.

Step-by-step explanation:

For this case we need to proof the following identity:

$tan(x-y) = \frac{tan x - tan y}{1 + tan x tan y}$

So we need to begin with the definition of tan, we know that $tan x = \frac{sin x}{cos x}$ and we have this:

$tan (x-y) = \frac{sin(x-y)}{cos(x-y)}$ (1)

We also have the following identities:

$sin (a-b) = sin a cos b - sin b cos a$

$cos(a-b) = sin a sin b + cos a cos b$

And if we apply those identities into equation (1) we got:

$tan(x-y) = \frac{sin x cos y - sin y cos x}{sin x sin y + cos x cos y}$ (2)

We can divide numerator and denominator from expression (2) by $\frac{1}{cos x cos y}$ like this:

$tan(x-y) = \frac{\frac{sin x cos y}{cos x cos y} - \frac{sin y cos x}{cos x cos y}}{\frac{sin x sin y}{cos x cos y} + \frac{cos x cos y}{cos x cos y}}$

And if we simplity we got:

$tan(x-y) = \frac{tan x - tan y}{tan x tan y +1 }$

And with that we complete the proof. And that appies for all $(x-y) \neq \frac{\pi}{2} +n\pi$

6 0

4 years ago

A produce store sold 63 red apples. If the ratio of red apples to green apples sold was 7: 2, what is the combined amount of red

Charra [1.4K]

Answer:

81 apples

Step-by-step explanation:

7 divided by 2 = 3.5

63 divided by 3.5 = 18

63 red + 18 green = 81 total apples

7 0

2 years ago

Read 2 more answers

Kate wants to buy a TV that has a price of $450. Kate decides to start saving after

shutvik [7]

Answer:

450 = (15·x) -50

Step-by-step explanation:

You know that the TV cost $450

She already have $50

you know she saves $15/month

3 0

3 years ago

1) Jessica charges $8 an hour for babysitting

nordsb [41]

A. The independent variable is time, as time is manipulating the value of her salary.

b. The dependent variable is her cost because what she charges for babysitting depends on how long she works.

c. y = 8x
y = how much she charges for this job
8 = the amount she charges per hour
x = number of hours babysat

6 0

3 years ago

125° 1 5 5 The measure of 1= Helppppppppppp

Anton [14]

Answer: the measure of angle 1 is 55 degrees

Step-by-step explanation:

so you see the outside of 5 is 125 degrees on the right side? So that 125 is equal to the 5 on the other side. So to find measure 1 you need to figure out the measure of the rest of the outside which is the outer angle of measure 1.

So you do

125+125=250

and then,

360-250=110

and since measure of angle 1 starts at the edge of the angle and not the center, you do 110/2 which is 55.

IF THE ANGLE OF MEASURE 1 WAS FROM THE CENTER POINT TO THE END DO NOT DIVIDE BY TWO.

6 0

2 years ago