What is the equation of the circle shown in the graph?
x
y
10
8
6
4
2
x
-6 -4 22
-2
2 4 6 8 10
6
-8
-10
Answers
Answer:
Step-by-step explanation:
The equation of the circle is ( x + 6 )² + ( y - 4 )² = 36 and the radius is r = 6 units and the center of circle is P ( -6 , 4 )
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of circle be represented as A
Now , the value of A is
Let the radius of the circle be r = 6 units
The point of center of the circle is at P ( x , y )
The coordinates of the point P is = P ( -6 , 4 )
And , standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
On simplifying , we get
( x - ( -6 ) )² + ( y - 4 ) = 6²
( x + 6 )² + ( y - 4 )² = 36
Therefore , the value of A is ( x + 6 )² + ( y - 4 )² = 36
Hence , the equation of circle is ( x + 6 )² + ( y - 4 )² = 36
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Answer:
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Step-by-step explanation:
Since we are finding h(-8), we plug -8 into the equation:
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2. a. - 1b.[tex] - \frac{2}{3} [/tex]3. a. 4b. 6Step-by-step explanation:
[tex]2. \: a. \: \sqrt[3]{ - 1} [/tex]
[tex] = \sqrt[3]{( - 1 )\times ( - 1 )\times( - 1)} [/tex]
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[tex]b. \: \sqrt[3]{ - \frac{8}{27} } [/tex]
Since,
[tex] \sqrt[3]{ - x} = - \sqrt[3]{x} [/tex]
Hence,
[tex] = - \sqrt[3]{ \frac{8}{27} } [/tex]
[tex] = - \sqrt[3]{ \frac{2 \times 2 \times 2}{3 \times 3 \times 3} } [/tex]
[tex] = - \frac{2}{3} (ans)[/tex]
[tex]3. \: a. \: 10 - 2 \sqrt{9} [/tex]
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[tex]b. \: 70 - {( \sqrt[3]{64} )}^{3} [/tex]
[tex] = 70 - \sqrt[3]{ {64}^{3} } [/tex]
[tex] = 70 - \sqrt[3]{64 \times 64 \times 64} [/tex]
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Is 3x + 2y = 6 a function??
A. No, the equation is not a function; there is an x-value that produces two distinct y-values.
B. Yes, the equation is a function; the graph of the line passes the vertical line test.
C. Yes, the equation represents a function because there is both an x and a y
SHOW WORK SO I KNOW YOURE NOT GUESSING, AND NO 'LINKS' THEY ARE VIRUSES, X
Answers
Answer:
B
Step-by-step explanation:
2y=-3x+6
y = -0.5x + 3
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Answers
Answer:
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What is a Parabola?A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
x=1
Step-by-step explanation:
2+1+1+1+4=9
2+x+x+x+4=9
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What is the solution to
this system of linear
equations?
