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3 years ago

Graph the linear equation. y=-2/3x+1

Mathematics

1 answer:

borishaifa [10]3 years ago

4 0

Here is the graph for the equation:

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If tan theta =3, find the value of tan theta + tan (theta+pi) + tan (theta +2pi)

sweet-ann [11.9K]

Answer:

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9$

Step-by-step explanation:

Given

$tan\theta = 3$

Required

Find

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)$

Calculate $tan(\theta + \pi) \ and\ tan(\theta+2\pi)$

Using tan rule

$tan(\theta + \pi) = \frac{tan\theta + tan\pi}{1 - tan\theta tan\pi}$

So:

$tan(\theta + \pi) = \frac{tan\theta + 0}{1 - tan\theta *0}$

$tan(\theta + \pi) = \frac{tan\theta}{1 }$

$tan(\theta + \pi) = \tan\theta$

$tan(\theta+2\pi)$

$tan(\theta + 2\pi) = \frac{tan\theta + tan2\pi}{1 - tan\theta tan2\pi}$

$tan(\theta + 2\pi) = \frac{tan\theta + 0}{1 - tan\theta *0}$

$tan(\theta + 2\pi) = \tan\theta$ '

'So:

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)$ $= tan\theta +tan\theta +tan\theta$

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 3+3+3$

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9$

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3 years ago

Classify the scenarios based on whether they are observational studies, experimentsor surveys. Scenarlo A: Twenty employees of a

Alex777 [14]

Answer:

Scenario A: Survey

Scenario B: Observational Studies

Scenario C: Experiment

Scenario D: Survey

If it not the answer you can correct me

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3 years ago

A sample contains 400 Plutonium-244 atoms. After 1 half-life(s) how many plutonium atoms are left on average?

SpyIntel [72]

Answer:

200

Step-by-step explanation:

Divide 400 by 1/2 or 2.

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3 years ago

Find all missing variables and measures of each angle

8090 [49]

I hope this is helpful

5 0

3 years ago

Mrs. Berry is purchasing a juicer which regularly sells for $390. She has a coupon for a 25% discount. The sales tax in her area

Vedmedyk [2.9K]

Answer:

C. $314.44

Step-by-step explanation:

$390 x 0.25 Discount = $97.5

$97.5 x 1.075 Sales Tax = $104.81 <---this is how much you save

$390 - $104.81 = $314.44 Total Price

Savings: $104.81

Tax: $21.94

Total Payment: $314.44

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3 years ago