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3 years ago

What are the slopes of the asymptotes of a hyperbola with equation (y-2)^2/1^2 - (x-4)^2/3^2 = 1?

Mathematics

1 answer:

vladimir1956 [14]3 years ago

8 0

Answer: 1/3 and -1/3

Step-by-step explanation:

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Which choice is the explicit formula for the following geometric sequence?0.5, -0.1, 0.02, -0.004, 0.0008, ...

Minchanka [31]

$a_1=0.5\\a_2=-0.1\\a_3=0.02\\a_4=-0.004\\a_5=0.0008\\\\a_n=a_1\cdot q^{n-1}\\\\q=a_2:a_1\to q=-0.1:0.5=-0.2\\\\a_n=0.5\cdot(-0.2)^{n-1}=0.5\cdot(-0,2)^n\cdot(-0.2)^{-1}\\\\=0.5\cdot(-0.2)^n\cdot(-5)=-2.5\cdot(-0.2)^n\\\\\boxed{a_n=-2.5\cdot(-0.2)^n}$

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3 years ago

A different whole number from 1 - 26 is assigned to each letter of the alphabet and written on the kindergarten 26 alphabet bloc

elena55 [62]

The sum of these will simply be the sum of all the numbers 1 through 26, which is 351.

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3 years ago

How do I solve an equation like this, one with a negative in front of parentheses?

azamat

The factor outside the parentheses is -1. Distribute using that factor.

2 - (4 - x) = 7x - 5x

-1 * 4 = -4 and -1 * -x = x

2 - 4 + x = 7x - 5x

Simplify.

-2 + x = 2x

x = 2x + 2

-x = 2

x = -2

<h3>Answer:</h3>

x = -2

3 0

3 years ago

Three numbers have a sum of 82. The second number is twice the first number. The third number is 7 more than the second number.

iVinArrow [24]

Answer: The number is 15

Step-by-step explanation: basically the equation you should solve is

(x)+(2x)+(2x+7)=82

5x+7=82

5x= -7+82

5x=75

5/5x=75/5

x=15

3 0

3 years ago

2. Margie Spencer wants to have $100,000 in her savings account in 20 years. If her account pays 6.6% annual

WITCHER [35]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$100000\\ P=\textit{original amount deposited}\\ r=rate\to 6.6\%\to \frac{6.6}{100}\dotfill &0.066\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &20 \end{cases}$

$100000=P\left(1+\frac{0.066}{2}\right)^{2\cdot 20}\implies 100000=P(1.033)^{40} \\\\\\ \cfrac{100000}{1.033^{40}}=P\implies 27288.97\approx P$

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2 years ago