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RUDIKE [14]
2 years ago
8

E.C. What is the standard equation of a circle with center (h,k) and radius r in the coordinate plane?

Mathematics
2 answers:
vitfil [10]2 years ago
8 0

Answer:

(x − 4)2 + (y + 6)2 = 25

(x − 4)2 + (y − (-6))2 = 52

When I compare my equation with the standard form, (x − h)2 + (y − k)2 = r2, I get h = 4, k = -6, and r = 5. The center is at (4, -6), and the length of the radius is 5.

Step-by-step explanation:

edmentum

LuckyWell [14K]2 years ago
4 0

Answer:

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

Step-by-step explanation:

Here, we want to write the standard equation of the circle

We have this as;

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

The above equation is the standard equation for the circle

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Jackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the orig
Ymorist [56]

Answer:

Final cost = 0.9328y

Step-by-step explanation:

Assume,

Original price = y

Given:

Discount = 22%

Sales tax = 6%

Computation:

Sales tax will be added on sale value

So,

Sales price = y[100%-22%]

Sales price = 0.88y

Price after sales tax :

Final cost = 0.88y[100% + 6%]

Final cost = 0.88y[106%]

Final cost = 0.9328y

8 0
2 years ago
Which expressions are completely factored? Select each correct answer. 32y10−24=8(4y10−3) 18y3−6y=3y(6y2−2) 16y5+12y3=4y3(4y2+3)
laila [671]

Answer:

Option A and Option C

Step-by-step explanation:

Option A: 32y^{10}-24 = 8(4y^{10}-3) This is completely factored as 8 is the Highest Common Monomial factor

Option B: 18y^{3}-6y = 3y(6y^{2}-2) This is not completely factored as 2 is still a common factor of 6y2 and -2.

Option C: 16y^{5}+12y^{3}=4y^{3}(4y^{2}+3) This is completely factored as 4y2 is the Highest Common Monomial factor

Option D: 20y^{7}+10y^{2} = 5y(4y^{6}+2y) This is not completely factored as 2y is still a common factor of 4y6 and 2y.

So the options that are completely factored are Option A and Option C

3 0
3 years ago
Suppose the line of best fit is being found for some data points that have an r-value of 0.657. If the standard deviation of the
oksian1 [2.3K]
We are given a line with the following data:

r-value = 0.657 (r)
standard deviation of x-coordinates = 2.445 (Sx)
standard deviation of y-coordinates = 9.902 (Sy)

We are asked to find the slope of the line up to 3 decimal places.

To find the slope of the line, based on the data that we have, we can use this formula:

slope, b = r * (Sy / Sx) 

substitute the values to the formula:

b = 0.657 * ( 9.902 / 2.445 )

Solve for the b.

Therefore, the slope of the line is 

b = 2.66078, round off to three decimal places:

b = 2.661 is the slope of the line. 
5 0
3 years ago
Read 2 more answers
What is ratio? I <br><br><br><br><br><br> I will mark Brainiest
Advocard [28]

Answer:

ratio is line from center to end of the circle

Step-by-step explanation:

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3 years ago
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This one-dimensional figure goes on forever in two directions.
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It’s line always goes in both directions
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