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What is the center and radius of the circle defined by the equation
(x + 1)²+ y + 3)²= 16
Center
radius​


Sagot :

Answer:,Ayan po Step-by-step explanation:Figure 1 below shows a circle whose center is at point (4, 3) with a radius of 2.How do we find the standard form equation of this circle?We put the center coordinates (4, 3) into the a and b variables and we square the radius for r²(x -4)² + (y -3)² = 4By multiplying this out, we get the general formx² -8x + 16 +y² -6y + 9 = 4x² +y² -8x -6y +21 = 0. Sorry kung kulang kulang,I'm sorry po talaga

View image Moamartel

PRECALCULUS

Remember

Equation of a circle

  • (x-h)²+(y-k)² = r²

where

  • center = (h,k)
  • radius = r

Question:

  • (x+1)² + (y+3)² = 16

Solution:

  • (x-(-1))² + (y-(-3)² = 4²

where h = -1

k = -3

r = 4

ANSWER

  • Center (-1,-3)
  • Radius is 4

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