Coordinate Geometry | Baamboozle - Baamboozle | The Most Fun Classroom Games!

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15

(3²+4²)=25 ⇒ on the circle

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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

Same slope ⇒ y+3 = (2/5)(x−4)

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15

√((8−2)²+(9−3)²) = √72 = 6√2

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15

y−3 = 4(x−2) ⇒ y = 4x − 5

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15

Using slope equality ⇒ (k−2)/(3−1) = (6−k)/(5−3) ⇒ k = 4

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baam

Lose 25 points!

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star

Double points!

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shark

Other team loses 25 points!

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lifesaver

Give 15 points!

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15

(x−2)² + (y+3)² = 25

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seesaw

Swap points!

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gift

Win 25 points!

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gift

Win 10 points!

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lifesaver

Give 25 points!

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lifesaver

Give 15 points!

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magnet

Take 15 points!

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gift

Win 15 points!

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banana

Go to last place!

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thief

Give points!

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15

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25

star

Double points!

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gift

Win 5 points!

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lifesaver

Give 25 points!

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15

x-int = (4, 0), y-int = (0, 3)

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15

Perpendicular distance = |0−4|/√2 = 2√2 ≠ √8 ⇒ Not tangent

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15

(−1−5)/(4−1) = −6/3 = −2

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15

Tangent eqn: 3x+4y = 25

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15

Substitute y = 2x−1 ⇒ x²+(2x−1)²=10 ⇒ x=1, −1 ⇒ (1, 1), (−1, −3)

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