Math&141-Pre-cal

10/1/2017 HW 1.9: Circles

1. –/3 pointsSPreCalc7 1.9.083.

Find the center and radius of the circle.

x2 + y2 = 9

center (x, y) =

radius r =3

Sketch its graph. Which graph is it? Please just use a marker on the word an check it

2. –/3 pointsSPreCalc7 1.9.086.

Find the center and radius of the circle.

(x + 2)2 + y2 = 4

center (x, y) =

radius r =

Sketch its graph.

3. –/3 pointsSPreCalc7 1.9.087.

Find the center and radius of the circle.

(x + 5)2 + (y − 2)2 = 36

center (x, y) =

radius r =

Sketch its graph.

4. –/2 pointsSPreCalc7 1.9.089.MI.

Find an equation of the circle that satisfies the given conditions.

Center (5, −2); radius 3

5. –/2 pointsSPreCalc7 1.9.091.MI.

Find an equation of the circle that satisfies the given conditions.

Center at the origin; passes through (2, 6)

6. –/2 pointsSPreCalc7 1.9.092.MI.

Find an equation of the circle that satisfies the given conditions.

Center (−3, 9); passes through (−5, −7)

7. –/2 pointsSPreCalc7 1.9.093.

Find an equation of the circle that satisfies the given conditions.

Endpoints of a diameter are P(−1, 1) and Q(5, 9)

8. –/2 pointsSPreCalc7 1.9.095.MI.

Find an equation of the circle that satisfies the given conditions.

Center (7, −2); tangent to the x-axis

9. –/2 pointsSPreCalc7 1.9.097.

Find the equation of the circle shown in the figure.

10.–/3 pointsSPreCalc7 1.9.521.XP.

Show that the equation represents a circle by rewriting it in standard form.

x2 + y2 − 8x + 10y + 16 = 0

Find the center and radius of the circle.

(x, y) =

r =

11.–/3 pointsSPreCalc7 1.9.100.

Show that the equation represents a circle by rewriting it in standard form.

x2 + y2 + 4y + 1 = 0

Find the center and radius of the circle.

(x, y) =

r =

12.–/3 pointsSPreCalc7 1.9.102.

Show that the equation represents a circle by rewriting it in standard form.

x2 + y2 + 1 x + 2y + 1 = 0

2 16

Find the center and radius of the circle.

(x, y) =

r =

13.–/3 pointsSPreCalc7 1.9.103.

Show that the equation represents a circle by rewriting it in standard form.

5x2 + 5y2 − 3x = 0

Find the center and radius of the circle.

(x, y) =

r =

14.–/3 pointsSPreCalc7 1.9.104.

Show that the equation represents a circle by rewriting it in standard form.

6x2 + 6y2 + 12x − y = 0

Find the center and radius of the circle.

(x, y) =

r =

15.–/2 pointsSPreCalc7 1.9.116.

Sketch the region given by the set.

{(x, y) | x2 + y2 > 9}

Math&141 hwk- Inequalities: Show your work step by step

1. Solve the nonlinear inequality. Express the solution using interval notation.

x2 > 4(x + 8)

Graph the solution set on a number line graph.

2. Solve the nonlinear inequality. Express the solution using interval notation.

(x + 4)(x − 3)(x − 6) ≤ 0

Graph the solution set on a number line graph.

3. Solve the nonlinear inequality. Express the solution using interval notation.

x − 6

x + 5

Graph the solution set on a number line graph.

4. Solve the nonlinear inequality. Express the solution using interval notation.

x

x + 3

  

Graph the solution set on a number line graph.

5. Solve the nonlinear inequality. Express the solution using interval notation.

16

x

 

Graph the solution set on a number line graph.

6. Suppose the average height of adult males is 68.2 in., and 95% of adult males have height h that satisfies the inequality

h − 68.2

3.1

Solve the inequality to find the range of heights (in inches). (Enter your answer using interval notation.)

I don’t know how to write it in interval notation.