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sweet [91]
2 years ago
9

Which are the center and radius of the circle with equation (x + 5)2 + (y - 4)2 = 9?

Mathematics
1 answer:
alina1380 [7]2 years ago
4 0

Answer:

Center (-5,4) radius 3

Step-by-step explanation:

The standard equation of a circle is

(x-h)^2+(y-k)^2=r^2

where the center is (h,k) and r is the radius

so h=-5 in this case and k is 4

r^2=9 so r=3

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\bf ~~~~~~ \textit{Compound Interest Earned Amount}&#10;\\\\&#10;A=P\left(1+\frac{r}{n}\right)^{nt}&#10;\quad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to &\$6000\\&#10;r=rate\to 8.3\%\to \frac{8.3}{100}\to &0.083\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{semiannually, thus two}&#10;\end{array}\to &2\\&#10;t=years\to &4&#10;\end{cases}&#10;\\\\\\&#10;A=6000\left(1+\frac{0.083}{2}\right)^{2\cdot 4}\implies A=6000(1.0415)^8

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