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snow_lady [41]
1 year ago
9

What is the equation of the circle that has its center at -26,120 and passed through the origin

Mathematics
1 answer:
OlgaM077 [116]1 year ago
3 0

well, first off let's check those two points, we know it's centerd at (-26 , 120) and we also know it passes through (0 , 0), so the distance between those two points is its radius

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{-26}~,~\stackrel{y_2}{120})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(~~-26 - 0~~)^2 + (~~120 - 0~~)^2} \implies r=\sqrt{(-26)^2 + (120 )^2} \\\\\\ r=\sqrt{( -26 )^2 + ( 120 )^2} \implies r=\sqrt{ 676 + 14400 } \implies r=\sqrt{ 15076 } \\\\[-0.35em] ~\dotfill

\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{-26}{h}~~,~~\underset{120}{k})}\qquad \stackrel{radius}{\underset{\sqrt{15076}}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - (-26) ~~ )^2 ~~ + ~~ ( ~~ y-120 ~~ )^2~~ = ~~(\sqrt{15076})^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (x+26)^2+(y-120)^2 = 15076~\hfill

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Camila has two summer jobs. During the week she works in the grocery store, and on
Paha777 [63]

Answer:

Camila works 16 hours if she does 10 hours at the grocery store and 6 hours at the nursery.

Camila works g+n hours if she does g hours at the grocery store and 6 hours at the nursery.

Step-by-step explanation:

1. Add up the grocery store hours and the nursery hours together.

10+6=16

g+n=g+n

Please rate this answer Brainliest!

3 0
3 years ago
The midpoint of AB is M(-6,-4). If the coordinates of A are (-4,-3), what are
Dovator [93]

Answer:

(-8,-5)

Step-by-step explanation:

Well, if we divide the square root of M by the hypotenuse due to the activation of the square root of A, then we can achieve the absolute equilibrium between both statements as we bring the oven to about 220 degrees Farenheit, the brownies will look great.

4 0
3 years ago
Is the answer e? I think it is
ioda

Answer: I am pretty sure you are correct from my standpoint

Step-by-step explanation:

If you look closely he is pretty close to the answer or it is the answer or this is just answer on my point or if its wrong try b

6 0
2 years ago
1. The probability of telesales representative making a sale on a customer call is 0.15.
Mumz [18]

Answer:

1c

 n = 33

1d

 n = 19

Step-by-step explanation:

From the question we are told that

   The  probability of telesales representative making a sale on a customer call is  p = 0.15

     The mean is  \mu  =  5

Generally the distribution of sales call  made by a  telesales representative follows a binomial distribution  

i.e  

         X  \~ \ \ \  B(n , p)

and the probability distribution function for binomial  distribution is  

      P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the mean is mathematically represented as

     \mu =  n*  p

=>  5= n *  0.15

=>  n = 33

Generally the least number of calls that need to be made by a representative for the  probability of at least 1 sale to exceed 0.95 is mathematically represented as

      P( X \ge 1) = 1 - P( X < 1 ) > 0.95

=>    P( X \ge 1) = 1 - P( X =0 ) > 0.95

=>    P( X \ge 1) = 1 - [ ^{n}C_0 *  (0.15 )^0 *  (1- 0.15)^{n-0}] > 0.95

=>    1 - [1  *  1*  (0.85)^{n}] > 0.95

=>    [(0.85)^{n}] > 0.05

taking natural  log of both sides

n = \frac{ln(0.05)}{ln(0.85)}

=>  n = 19

3 0
3 years ago
16,055 is divided by 16?
serious [3.7K]

Your answer will be 1,000.3125

hope i helped!! :)

3 0
3 years ago
Read 2 more answers
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