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lana [24]
3 years ago
13

Help with 16-25 Please. a=12, b=9, c=4

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
7 0
Its none of them..its actually -9
allochka39001 [22]3 years ago
5 0
16. Would be 144 + 9 - 16, which equals 137.
17. 81 + 24 - 16 = 89.
18. 8(12+9) = 168. 
19. 48 + 18 - 16 = 50
20. 144/ 36 + 4= 8
21. 16 (18-12)= 96.
22. 144 + 12 / 4= 39.
23. 128 - 108 /4= 5
24. 18-20= -2
25. 81 - 32 / 12 +4 -9= 7
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Vilka [71]

Answer: \bold{(x-2)^2+(y-3)^2=\dfrac{1}{4}}

               Center = (2, 3)          radius = \bold{\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

When both the x² and y² values are equal and positive, the shape is a circle. Complete the square to put the equation in format:

(x-h)² + (y-k)² = r²    where

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1) Group the x's and y's together and move the number to the right side

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2) Factor out the 4 from the x² and y²

    4(x² - 4x          ) + 4(y² - 6y            ) = -51

3) Complete the square (divide the x and y value by 2 and square it)

    4[x^2-4x+\bigg(\dfrac{-4}{2}\bigg)^2]+4[y^2-6y+\bigg(\dfrac{-6}{2}\bigg)^2]=-51+4\bigg(\dfrac{-4}{2}\bigg)^2+4\bigg(\dfrac{-6}{2}\bigg)^2

  = 4(x - 2)² + 4(y - 3)² = -51 + 4(-2)² + 4(-3)²

  = 4(x - 2)² + 4(y - 3)² = -51 + 4(4) + 4(9)

  = 4(x - 2)² + 4(y - 3)² = -51 +  16  +  36

  = 4(x - 2)² + 4(y - 3)² = 1

4) Divide both sides by 4

   (x-2)^2+(y-3)^2=\dfrac{1}{4}

  • (h, k) = (2, 3)
  • r=\dfrac{1}{2}

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3 years ago
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4 0
2 years ago
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