B6 are en amVir af a 2 dlecimals use a caleulator te the eqm

B(6, are en amVir af a 2 dlecimals (use a caleulator! te the eqmatian of the tine pepndletor to passing ttough -3, a) Find the center anol saohius o 4x 3 Seve of the bal t tiume yen by + to the ustant the ball is fust tossect b) How0 wiut-be bette the ball tts the Yound?

Solution

9)
A(-4,-2) and B(6,4)

AB = sqrt((6+4)^2 + (4+2)^2)

= sqrt(100 + 36)

= sqrt(136)

= 2sqrt(34)

This is the diameter

And thus, the radius = sqrt(34)

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11)
x - y + 1 = 0
y= x + 1
has slope = 1

So, perpendicular line has slope = -1/1 = -1

m = -1
and point (x1,y1) = (-3,1)

y - y1 = m(x - x1)

y - 1 = -1(x + 3)

y - 1 = -x - 3

y = -x - 2

Option C

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12)
4x^2 + 4y^2 - 4x - 63 = 0

Divide by 4 all over :
x^2 + y^2 - x = 63/4

Completing the square :
x^2 - x + 1/4 + y^2 = 63/4 + 1/4

(x - 1/2)^2 + (y - 0)^2 = 16

Center = (1/2 , 0)
Radius = srt16 = 4

Option B

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13)
Option B using quadratic formula

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14)
For one soln,
discriminant, D = 0

b^2 - 4ac = 0

2k - 4(3)(6) = 0

2k - 72 = 0

2k = 72

k = 36