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kap26 [50]
3 years ago
5

What is the equation of the circle with center (11, 6) that passes through the point (17, 12)?

Mathematics
1 answer:
den301095 [7]3 years ago
3 0

well, the distance from the center of a circle to any point "on" the circle is simply just its radius, thus

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{center}{(\stackrel{x_1}{11}~,~\stackrel{y_1}{6})}\qquad (\stackrel{x_2}{17}~,~\stackrel{y_2}{12})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(17-11)^2+(12-6)^2}\implies r = \sqrt{36+36}\implies r=\sqrt{72} \\\\[-0.35em] ~\dotfill

\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{11}{ h},\stackrel{6}{ k})\qquad \qquad radius=\stackrel{\sqrt{72}}{ r} \\\\\\ (x-11)^2+(y-6)^2=(\sqrt{72})^2\implies (x-11)^2+(y-6)^2=72

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Answer:

I think x = 1.5

Step-by-step explanation:

23 - 17 = 6

6 ÷ 4 = 1.5

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If f(x) = (x - 2) = x3 + 2x - 4 + 13<br> what is f(2)?
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The length of a rectangle is four times its width. If the perimeter of the rectangle is 20 feet, how many feet long is the recta
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Largeur = x
longueur = 4 x 

2 ( x + 4 x) = 20
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8-3(p-4)=2p<br><br> Show Work PLEASE
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3 years ago
A lent B rs 32500 to purchase a car at 12.5% p.A
LiRa [457]

Answer:

6,483.75

Step-by-step explanation:

Calculation to find the interest paid by B after 3/2 year

First step is to calculate the Compound interest amountUsing this formula

Interest paid= P(1 + r/100)^Time

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P represent principal=32,500

r represent Rate of interest = 12.5%/2 = 6.25%

T represent Time=3/2 years

Let plug in the formula

Compound interest amount= 32,500(1 + 6.25/100)^2*3/2

Compound interest amount= 32,500([1+.0625)^3

Compound interest amount= 32,500(1.0625)^3

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Therefore the interest paid by B after 3/2 year will be 6,483.75

7 0
3 years ago
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