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3 years ago

Factor sec^2x-secx+tan^2x

Mathematics

1 answer:

marysya [2.9K]3 years ago

6 0

Answer:

sec²(x) - sec(x) + tan²(x) = (sec(x) - 1)(2sec(x) + 1)

Step-by-step explanation:

sec²(x) - sec(x) + tan²(x) =

= sec²(x) - sec(x) + [sec²(x) - 1]

= sec²(x) - sec(x) + [(sec(x) + 1)(sec(x) - 1)]

= sec(x)[sec(x) - 1] + [(sec(x) + 1)(sec(x) - 1)]

= (sec(x) - 1)(sec(x) + sec(x) + 1)

= (sec(x) - 1)(2sec(x) + 1)

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Step-by-step explanation:

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3 years ago

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Marysya12 [62]

Answer:

71.5

Step-by-step explanation:

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3 years ago

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Nataly_w [17]

Perpendicular from the center to the chord, bisects it!
DE = DF/2 = 12
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3 years ago

Please answer quickly for 5 stars and brainliest!!

nydimaria [60]

Answer:

Bank West

$242.82

Step-by-step explanation:

To find which bank will yield more interest for Emilio, we can solve for the interest of each bank by using the Compound interest formula:

$A=P(1+\dfrac{r}{n})^{nt}$

For the Bank West we have:

n = 4 Quarterly

t = 6 years

r = 3.8% or 0.038

P = 15820

Let's substitute them in the formula.

$A=15820(1+\dfrac{0.038}{4})^{4(6)}$

$A=15820(1+\dfrac{0.038}{4})^{24}$

$A=15820(1+0.0095)^{24}$

$A=15820(1.0095)^{24}$

$A=19849.89$

Now let's solve for the Interest. We subtract our total amount to the principal amount.

Interest = 19849.89 - 15820

Interest = 4029.89

Now let's solve for the First Bank.

n = 12 Monthly

t = 5 years

r = 4.3% or 0.043

P = 15820

Let's substitute them in the formula.

$A=15820(1+\dfrac{0.043}{12})^{12(5)}$

$A=15820(1+\dfrac{0.043}{12})^{60}$

$A=19607.07$

Now for the interest:

Interest = 19607.07 - 15820

Interest = 3787.07

This gives us:

Bank West Interest = $4029.89

First Bank Interest = $3787.07

So Bank West will earn more interest than First Bank.

To find how much more interest we subtract the interest of Bank West to First Bank.

4029.89 - 3787.07 = $242.82

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3 years ago