math
Quiz 8 Name: ___________________________
Math 175 (Show Your Work )
1. (a) Determine the remaining sides and angles of Triangle ABC, given that
3954'
A
=
o
,
268.7
a
=
m, and
3954'
A
=
o
,268.7
a
=
m, and
4232'
B
=
o
.
4232'
B
=
o
.(b) Solve Triangle(s) ABC, given that
3840'
A
=
o
,9.72
a
=
m, and11.8
b
=
m.2. Solve Triangle ABC, given that
8040'
A
=
o
,
143
b
=
cm,
89.6
c
=
cm.
8040'
A
=
o
,143
b
=
cm,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)
951
18101
xy
xy
-=
ì
í
-+=
î
(b)726
14412
xy
xy
+=
ì
í
+=
î
4. Find an equation of the parabola
2
yaxbxc
=++
that passes through the points(
)
2,3
,(
)
1,0
-
, and
(
)
2,2
-
. Use a system of equations to solve this problem.5. Use the Gauss-Jordan method to solve the following system of equations.
518
336
3213
xyz
xyz
xyz
+-=-
ì
ï
-+=
í
ï
+-=-
î