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
Report DMCA
TutorRating
pallavi

Chat Now!

out of 1971 reviews
More..
amosmm

Chat Now!

out of 766 reviews
More..
PhyzKyd

Chat Now!

out of 1164 reviews
More..
rajdeep77

Chat Now!

out of 721 reviews
More..
sctys

Chat Now!

out of 1600 reviews
More..
sharadgreen

Chat Now!

out of 770 reviews
More..
topnotcher

Chat Now!

out of 766 reviews
More..
XXXIAO

Chat Now!

out of 680 reviews
More..
All Rights Reserved. Copyright by AceMyHW.com - Copyright Policy