# Project #31375 - Algebra II

Please complete the following cumulative assessment.

Find the distances between the two points given. Show all your work.

(-3, -3) and (3, 5) =

(7, -2) and (-9, -2) =

(0, 0) and (0, -17) =

(-2, -1) and (-2, 2)

(8, 0) and (-1, -12) =

Find the center and the radius of a circle form the equations given. Show all your

work.

x2 + y2 = 49

x2 + y2 = 81

(x - 2)2 + y 2 = 4

x2 + (y + 1) 2 = 144

Find the equation of the circle with the center provided and a radius r. Show all your

work.

Center (3, -8) Radius= 5

Center (-3, -7) Radius= √3

Graph the following equations:

(x - 3)2 + (y + 8) 2 = 25=

(x - 1)2 + (y - 2) 2 = 36=

Find the equation of the parabolas whose points are equal distance from the focus

and the directrix given. Show all your work.

Focus (0, 2) Directrix (y = -2)

Focus (0, 1/2) Directrix (y = -1/2)

With the following foci given, try to write an equation for each ellipsis, in Standard

Form. Show all your work.

Foci = (-5, 0) (5, 0) = (x2 / 169) + (y2/ 144) = 1

Foci = (-√45, 0) (√45, 0) = (x2 / 81) + (y2/ 36) = 1

With the following foci and distances or directrices given, try to write an equation

for each hyperbola, in Standard Form. Show all your work.

d1 - d2 = 8, Foci = (5, 0) (-5, 0)

d1 - d2 = 8, Foci = (√34, 0) (-√34, 0)

Express the following angle measures in radian form, using π. Show all your

work.

240° =

18° =

135° =

180° =

Express the following radian measures in degree form. Show all your work.

-3π/2 =

7π/18 =

Be sure to show all of your work.

Given an angle that is in standard position with the following measures, name the

quadrant that contains the terminal side.

315° =

-45° =

-284° =

Find the measure of the reference angle for each angle Ø that is in standard

position. Show all your work.

Ø = -175°

Ø = 95°

Point P(x, y) is on the terminal side of an angle of measure Ø, in standard position.

Find the six trigonometric rations for Ø.

P (1, 2)

P (-5, -6)

P (√2, √6)

There are two trigonometric ratios given for a specific value of Ø. Find the

remaining four trigonometric ratios of that value Ø.

tan Ø =2/3, sec Ø = √13/3

Sketch the angle with the given measure, and its reference triangle. Then find the

required ratio. Show your answers in radial form, not decimal form.

sec 210° =

tan -210° =

sin 240° =

cos 300° =

csc 225° =

cot -150° =

Using a graphing calculator to graph the functions, find the period and amplitude of

each function. Show your work.

y = 3 sin x

y = 5 + cos x

y = 1 + sin x

y = -3/4 cos x

Find the values of x from 0 to 2π when:

sin x > 0 and cos x < 0

sin x < 0 and cos x > 0

Use the following values for the radius and central angles given to find the areas of

the sectors.

Radius = 18ft, Central angle = 175°

Radius = 12cm, Central angle = 90°

Use the following values for the radius and central angles given to find the length of

the arcs for the sectors.

Radius = .8725 ft, Central angle = 39.72°

Radius = 12cm, Central angle = 5π/6

 Subject Mathematics Due By (Pacific Time) 05/23/2014 12:00 am
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