Write the expression as either the sine, cosine, or tangent of a single angle. tan5x - tan2y / 1 + tan5x tan2y

1 answer:

6 0

$\bf \textit{Sum and Difference Identities}
\\\\
tan(\alpha + \beta) = \cfrac{tan(\alpha)+ tan(\beta)}{1- tan(\alpha)tan(\beta)}
\qquad
tan(\alpha - \beta) = \cfrac{tan(\alpha)- tan(\beta)}{1+ tan(\alpha)tan(\beta)}\\\\
-------------------------------\\\\
\cfrac{tan(5x)-tan(2y)}{1+tan(5x)tan(2y)}\implies tan(5x-2y)$

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Select the equation of the line parallel to the equation y = -2x - 7 that passes through the point (3, 1).

motikmotik

Formula of the line

y=mx+b.

For parallel line slope m is the same, so m= -2.

y=-2x+b.

We need to find b,using the point (3,1).

1= - 2*3+b

b=7

y = -2x +7

Answer is A. y = -2x +7.

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4 years ago

A laptop has a listed price of $843.88 before tax if the sales tax rate is 7.25% find the total cost of the laptop with sales ta

Step2247 [10]

Answer:

$905.06 dollars

Step-by-step explanation:

Given the following question:

7.25% of 843.88

In order to find the answer, we use the formula to calculate percentages, then we add that answer to the initial cost of the laptop.

$\frac{p\times c}{100}$
$\frac{7.25\times843.88}{100}=7.25\times843.88=6118.13\div100=61.1813$
$61.1813$
$1 < 5$
$61.18$

<u>Now add:
</u> $843.88+61.18=905.06$
$=905.06$

Which means the laptop after a 7.25% sales tax costs "$905.06 dollars."

Hope this helps.