Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2)...

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Find the distance between (-4, 2) and (6, -3)

description

The midpoint of a segment is (-5, 0) and one endpoint is (4, 3). Find the other endpoint.

Transcript of Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2)...

Page 1: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

Find the distance between (-4, 2) and

(6, -3)

Page 2: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

Find the midpoint of the segment connecting

(3, -2) and (4, 5).

Page 3: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

The midpoint of a segment is (-5, 0) and one endpoint is (4, 3).

Find the other endpoint.

Page 4: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

Find the focus:

y = 1/4(x – 3)2 – 6

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Page 5: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

Find the vertex:

y = 1/4(x – 3)2 – 6

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Page 6: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

Find the directrix:

y = 1/4(x – 3)2 – 6

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Page 7: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

Find the focus:

1/16 (y + 2)2 – 3 = x

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Page 8: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

Find the vertex:

1/16 (y + 2)2 – 3 = x

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Page 9: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

Find the directrix:

1/16 (y + 2)2 – 3 = x

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Page 10: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

What conic section is this?

2x2 + 2y2 + 12x – 16y = -18

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Page 11: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

What is the center of the circle?

2x2 + 2y2 + 12x – 16y = -18

2

Page 12: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

What is the radius of the circle?

2x2 + 2y2 + 12x – 16y = -18

2

Page 13: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

Find the equation of the parabola with focus (1, -1)

and directrix y = 5.

2

Page 14: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

Find the equation of the circle with center (4, -3)

and radius r = 3.

2

Page 15: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

Find the equation of the circle with center (-3 , 9) and contains the point

(1, 4).

2

Page 16: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

What conic section is this equation?

2

8y8yx2x 22

Page 17: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

What conic section is this equation?

2

8x2xy 2

Page 18: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

What conic section is this equation?

2

361y44x9 22

Page 19: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

What conic section is this equation?

4x2 - 2y + 16 = 0

2

Page 20: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

What conic section is this equation?

8x2 + 8y2 + 16x + 4y + 2 = 0

2

Last one!!!

Page 21: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

ANSWERS TO HANG ON THE ANSWERS TO HANG ON THE BOARD OR WALLBOARD OR WALL

Page 22: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

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Page 23: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

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Page 24: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

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Page 25: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

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Page 26: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

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Page 27: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

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Page 28: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

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Page 29: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

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Page 30: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

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Page 31: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

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Page 32: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

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Page 33: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).
Page 34: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).
Page 35: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).
Page 36: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

CircleCircle

Page 37: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

EllipseEllipse

Page 38: Find the distance between (-4, 2) and (6, -3). Find the midpoint of the segment connecting (3, -2) and (4, 5).

ParabolaParabola

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HyperbolaHyperbola