Section 1 9 Distance and Midpoint Formulas Circles

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Section 1. 9 Distance and Midpoint Formulas; Circles

Section 1. 9 Distance and Midpoint Formulas; Circles

The Distance Formula

The Distance Formula

Example Find the distance between (4, -5) and (9, -2).

Example Find the distance between (4, -5) and (9, -2).

The Midpoint Formula

The Midpoint Formula

Example Find the midpoint of the segment whose endpoints are (-1, 7) and (-5,

Example Find the midpoint of the segment whose endpoints are (-1, 7) and (-5, 9).

Circles

Circles

Graphing Calculator

Graphing Calculator

Write the standard form of the equation of the circle with center (-4, 1)

Write the standard form of the equation of the circle with center (-4, 1) and radius of 3. Standard Form 3 (-4, 1)

Find the center and radius of the circle whose equation is Graph the equation.

Find the center and radius of the circle whose equation is Graph the equation. Use the graph to identify the relation’s domain and range. Why is it a relation and not a function? Center(-3, 4); radius=3 3 Domain: [-6, 0]; Range: [1, 7] (-3, 4)

Example Write the standard form of the equation of the circle with center at

Example Write the standard form of the equation of the circle with center at (-2, 7) and a radius of 5.

Example Find the center and radius of the circle whose equation is below. Graph

Example Find the center and radius of the circle whose equation is below. Graph the equation. Use the graph to identify the relation’s domain and range.

General Form

General Form

Example Complete the square and write the equation in standard form. Then give the

Example Complete the square and write the equation in standard form. Then give the center and radius of the circle and graph the equation.

Example Complete the square and write the equation in standard form. Then give the

Example Complete the square and write the equation in standard form. Then give the center and radius of the circle and graph the equation.

Find the distance between the points (-1, 8) and (9, 5). (a) (b) (c)

Find the distance between the points (-1, 8) and (9, 5). (a) (b) (c) (d)

Find the midpoint of the line segment with the endpoints of (-1, -1) and

Find the midpoint of the line segment with the endpoints of (-1, -1) and (- 5, 8). (a) (b) (c) (d)

Write the equation of the line with center at (0, 7) and a radius

Write the equation of the line with center at (0, 7) and a radius of 4. (a) (b) (c) (d)

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