3-d Distance, Midpoint, and Intercepts 3-d TEST THURSDAY!!! Midterm: Oct. 8.

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Presentation transcript:

3-d Distance, Midpoint, and Intercepts 3-d TEST THURSDAY!!! Midterm: Oct. 8

Finding the distance between 2 points 2D (x, y) 3D (x, y, z)

Finding the distance between 2 points in 3-dimentional space (3, -2, 5) (-1, 4, -2)

Find the distance between the 2 points 1. (10, 2, –3 ) and (6, 4, –5) 2. (–1, 3, 4) and (0, –5, 2)

Finding the midpoint of the 2 points 2D (x, y) 3D (x, y, z)

Find the midpoint of the 2 points 1. (10, 2, –3 ) and (6, 4, –5) 2. (–1, 3, 4) and (0, –5, 2)

Graph the equation of the plane 3x + 2y + 4z =12 Find the x, y and z intercepts by plugging in 0’s. X Z Y

Equations of Spheres TEST THURSDAY! Midterm: Oct. 8

Standard form for a sphere Where (h, k, l) is the center of the sphere and R is the radius of the sphere

Give the center and the radius of each sphere. Center (3, -2, -1) Radius 7 Center (1, 0, 1) Radius 4

Page 206 – Guided Practice #4 Write an equation of a sphere in standard form with center (4, -2, 0) and radius 7 (x -4) 2 + (y + 2) 2 + z 2 = 49

Give the center and the radius of each sphere.

Surface Area and Volume of a Sphere Surface Area Volume

Homework Page 207 #1-19odds –Odds so you can check your answers… Page 208 #15, 16 Worksheet –Turning in for a grade!