M175-Q8-3.doc

Quiz 8 Name: ___________________________

Math 175 (Show Your Work )

1. (a) Determine the remaining sides and angles of Triangle ABC, given that
image1.wmf

3954'

A

=

o

,
image2.wmf

268.7

a

=

m, and

image3.wmf

4232'

B

=

o

.

(b) Solve Triangle(s) ABC, given that

image4.wmf

3840'

A

=

o

,
image5.wmf

9.72

a

=

m, and
image6.wmf

11.8

b

=

m.

2. Solve Triangle ABC, given that
image7.wmf

8040'

A

=

o

,
image8.wmf

143

b

=

cm,
image9.wmf

89.6

c

=

cm.

(over)

3. Solve each system of equations. State whether it is an inconsistent system or has infinitely many solutions. If

the system has infinitely many solutions, write the solution set with y arbitrary.

(a)

image10.wmf

951

18101

xy

xy

-=

ì

í

-+=

î

(b)
image11.wmf

726

14412

xy

xy

+=

ì

í

+=

î

4. Find an equation of the parabola

image12.wmf

2

yaxbxc

=++

that passes through the points
image13.wmf

(

)

2,3

,
image14.wmf

(

)

1,0

-

, and

image15.wmf

(

)

2,2

-

. Use a system of equations to solve this problem.

5. Use the Gauss-Jordan method to solve the following system of equations.

image16.wmf

518

336

3213

xyz

xyz

xyz

+-=-

ì

ï

-+=

í

ï

+-=-

î

_1366633702.unknown

_1366634197.unknown

_1592857277.unknown

_1592858628.unknown

_1592858653.unknown

_1592858821.unknown

_1592858584.unknown

_1592778335.unknown

_1592778491.unknown

_1366634657.unknown

_1366634090.unknown

_1366634185.unknown

_1366633718.unknown

_1366566282.unknown

_1366633637.unknown

_1366566193.unknown