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lozanna [386]
3 years ago
12

Find the center of the circle whose equation is (x - 8) 2 + (y + 2) 2 = 64.

Mathematics
2 answers:
mr Goodwill [35]3 years ago
5 0

8, -2 is the answer

SashulF [63]3 years ago
4 0

If given the equation, you need to take the number beside the x and y and change their signs to get your point:

x - 8 (Take the -8 and make it +8)

y + 2 (Take the +2 and make it -2)

Your point is (8, -2)

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Prove that the two circles shown below are similar. (10 points) Circle C is shown with a center at negative 3, 1 and a radius of
Tanya [424]

Answer:

Well, in reality, all circles are similar to each other. They will all have the same angles, and they don't really have side lengths. So, they are similar.

But to PROVE they are similar, we will transform Circle C to match circle E.

Circle C has a center at (-3, 1), and Circle E has a center of (4, 9). For Circle C to have the same center as Circle E, we will translate Circle C 7 units to the right, and 8 units up.

Since Circle C has a radius of 4, and Circle E has a radius of 3, dilate Circle C by a factor of 3/4. That way, the radius is 3 units as well.

And there you go! The two circles will map perfectly on top of each other.

Hope this helps!

5 0
3 years ago
26 push-ups in 2 minutes
OlgaM077 [116]

Answer:

13 per minute

Step-by-step explanation:

6 0
3 years ago
At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with
MatroZZZ [7]

Answer:

a)Slope: \hat \beta_1 =\frac{7625.9}{1248.9}=6.106

Intercept: \hat \beta_o = 157.955 -6.106 (69.686)=-267.548

b) r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657  

And the determination coeffecient is r^2 = 0.657^2 =0.432  

Step-by-step explanation:

Data given and definitions

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"    

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.  

n=110, \sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8  

\sum Y_i =17375 , \sum X_i = 7665.5

Part a

The slope is given by this formula:

\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}

If we replace we got:

\hat \beta_1 =\frac{7625.9}{1248.9}=6.106

We can find the intercept with the following formula

\hat \beta_o = \bar y -\hat \beta_1 \bar x

We can find the average for x and y like this:

\bar X=7665.5/110 =69.686, \bar y= 17375/110=157.955

And replacing we got:

\hat \beta_o = 157.955 -6.106 (69.686)=-267.548

Part b

In order to calculate the correlation coefficient we can use this formula:  

r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}  

For our case we have this:  

n=110, \sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8  

So we can find the correlation coefficient replacing like this:

r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657  

And the determination coeffecient is r^2 = 0.657^2 =0.432  

6 0
3 years ago
Kate buys 12 pounds of apples each pound costs $3 if she gives the cashier two $20 billls
34kurt
12x3=36
40-36=4
Answer $4
3 0
2 years ago
Read 2 more answers
Simplify 1/3(9a+b)-1/2(4a+2b)
d1i1m1o1n [39]
1/3 x 9a then 1/3 x n plus -1/2 x 4a the -1/2 x 2b the add the two b's together then add the two a'S together the write _a + _b
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3 years ago
Read 2 more answers
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