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carlosiscr7
17.04.2021 •
Mathematics
1. Which of the following is the equation of a circle with center (a, −b) and radius r?
A. (x−a)2+(y+b)2=r2
B. (x+a)2+(y−b)2=r2
C. (x+a)2+(y−b)2=r
D. (x−a)2+(y+b)2=r
2. A given circle has the equation x2+y2−4x−2y+4=1. What is the center of the circle?
A. (1, 2)
B. (−2, −1)
C. (−1, −2)
D. (2, 1)
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Ответ:
D
Step-by-step explanation:
Ответ:
1) A
2) D
Step-by-step explanation:
1) The equation of a circle is (x-h)²+(y-k)²=r² where (h,k) is the center and "r" is the radius of the circle. With a center of (a,-b) the equation of the circle is (x-a)²+(y+b)²=r² making A the correct answer.
2) Convert from general form into standard form:
Given: x²+y²-4x-2y+4=1
Rearrange: x²-4x+4+y²-2y=1
Set right side equal to 0: x²-4x+4+y²-2y-1=0
Complete the square: x²-4x+4+y²-2y-1+2=0+2
Evaluate: x²-4x+4+y²-2y+1=2
Condense: (x-2)²+(y-1)²=2
Therefore, the center of the circle is D) (2,1)
Ответ:
if you are on apex this is for you
Step-by-step explanation:
in geometry, you can use deductive rules to prove conjectures.