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ivann1987 [24]
2 years ago
9

Determine the center and radius of the following circle equation: x? + y2 - 2x - 12y +36 = 0

Mathematics
2 answers:
PolarNik [594]2 years ago
6 0

Answer:

The center is at (1, 6) and the radius is 1.

Step-by-step explanation:

x^2 + y^2 - 2x - 12y +36 = 0

Convert to standard form:

x^2 - 2x + y^2 - 12y = -36

(x - 1)^2 - 1 + (y - 6)^2 - 36 = -36

(x - 1)^2 + (y - 6)^2 = -36 + 36 + 1

(x - 1)^2 + (y - 6)^2 =  1

The center is at (1, 6) and the radius is 1.

Gre4nikov [31]2 years ago
3 0

Step-by-step explanation:  

x²+ y² -12x - 18y +17 = 0 means : (x²-12x+36)-36+(y²-18y+81)-81-27 =0

(x-6)²+(y-9)² =12²....standard form when the center is (-6 , 9) and radius 12

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Tamiku [17]

Answer:

Well a triangle itself is worth 180 degrees (Inteirior angles)

your given “a” “b” and you need to find c.

So you can subtract

A is 50

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6 0
2 years ago
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Simplify (6^5/7^3)^2
o-na [289]
Simplify the following:
(6^5/7^3)^2

7^3 = 7×7^2:
(6^5/(7×7^2))^2

7^2 = 49:
(6^5/(7×49))^2

7×49 = 343:
(6^5/343)^2

6^5 = 6×6^4 = 6 (6^2)^2:
((6 (6^2)^2)/343)^2

6^2 = 36:
((6×36^2)/343)^2

 | | 3 | 6
× | | 3 | 6
 | 2 | 1 | 6
1 | 0 | 8 | 0
1 | 2 | 9 | 6:
((6×1296)/343)^2

6×1296 = 7776:
(7776/343)^2

(7776/343)^2 = 7776^2/343^2:
7776^2/343^2

 | | | | 7 | 7 | 7 | 6
× | | | | 7 | 7 | 7 | 6
 | | | 4 | 6 | 6 | 5 | 6
 | | 5 | 4 | 4 | 3 | 2 | 0
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5 | 4 | 4 | 3 | 2 | 0 | 0 | 0
6 | 0 | 4 | 6 | 6 | 1 | 7 | 6:
60466176/343^2

 | | | 3 | 4 | 3
× | | | 3 | 4 | 3
 | | 1 | 0 | 2 | 9
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1 | 1 | 7 | 6 | 4 | 9:

Answer: 60466176/117649
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3 years ago
A rug maker is using a pattern that is a rectangle with a length of 96 inches and a width of 60 inches. The rug maker wants to i
Elden [556K]
Increasing the length by l we have the new expression for the length as 96+l

Increasing the width by w, we have the new expression for the width as 60+w

Perimeter of a rectangle is given by adding all the sides, so we have

P = 96 + l+96+l+60+w+60+w
P=192+2l+120+2w
P  = 312+2l+2w
4 0
3 years ago
Find the mean.<br> 20, 5, 45, 90, 60, 45, 30, 10, 20, 45, 15,25
aliina [53]

\huge\textsf{Hey there!}

\bullet \large\textsf{ Finding the mean you have to add up all of your numbers \& divide it}\\\large\textsf{by the total numbers in your data plot}

\mathsf{\dfrac{20 + 5 + 45 +  90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}{12}}

\mathsf{20 + 5 + 45 +  90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}

\mathsf{= 25 + 45 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}

\mathsf{= 70 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}

\mathsf{= 160 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}

\mathsf{= 220 + 45 + 30 + 10 + 20 + 45 + 15 + 25}

\mathsf{= 265 + 30 + 10 + 20 + 45 + 15 + 25}

\mathsf{= 295 + 10 + 20 + 45 + 15 + 25}

\mathsf{= 305 + 20 + 45 + 15 + 25}

\mathsf{= 325 + 45 + 15 + 25}

\mathsf{= 370 + 15 + 25}

\mathsf{= 385 + 25}

\mathsf{= \bf 410}

\mathsf{= \dfrac{410}{12}}

\mathsf{\dfrac{410}{12} \approx \bf 34.1667}

\boxed{\boxed{\huge\textsf{Thus, your ANSWER is: \boxed{\mathsf{ \bf \underline{{\star 34.1667\star}}}}}}}}\huge\checkmark

\huge\textsf{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

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