Team 1
0
Team 2
0
Teams
Name
Score
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
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15
×
Center = (2, −3), r = √(4+9+3) = √16 = 4
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15
×
y+2 = 2(x−1) ⇒ y = 2x − 4
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15
×
(−1−5)/(4−1) = −6/3 = −2
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×
thief
Give points!
5
10
15
20
25
×
star
Double points!
Okay!
×
fairy
Take points!
5
10
15
20
25
×
baam
Lose 20 points!
Oops!
×
trap
No points!
Oops!
×
shark
Other team loses 5 points!
Okay!
×
fairy
Take points!
5
10
15
20
25
×
baam
Lose 25 points!
Oops!
15
×
x-int = (4, 0), y-int = (0, 3)
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15
×
Center = (2, 6), r = √((6−(−2))²+(8−4)²)/2 = √80/2 = 2√5 ⇒ (x−2)² + (y−6)² = 20
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15
×
√((8−2)²+(9−3)²) = √72 = 6√2
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15
×
Midpoint = ((−4+10)/2, (7+−5)/2) = (3, 1)
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15
×
(3²+4²)=25 ⇒ on the circle
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15
×
Same slope ⇒ y+3 = (2/5)(x−4)
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15
×
y−3 = 4(x−2) ⇒ y = 4x − 5
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15
×
Tangent eqn: 3x+4y = 25
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15
×
(x−2)² + (y+3)² = 25
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×
baam
Lose 25 points!
Oops!
×
magnet
Take 25 points!
Okay!
×
rocket
Go to first place!
Okay!
×
baam
Lose 25 points!
Oops!
15
×
Using slope equality ⇒ (k−2)/(3−1) = (6−k)/(5−3) ⇒ k = 4
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×
Restart
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