1.
Find an equation of the line that bisects the acute angles formed by the lines with equations 3
x
+ 4
y
= 8 and 5
x
+ 12
y
= 16.
A.
14
x
+ 8
y
- 23 = 0
B.
14
x
+ 8
y
+ 23 = 0
C.
8
x
+ 14
y
- 23 = 0
D.
8
x
+ 14
y
+ 23 = 0
Hint
2.
What is the distance from the origin to the graph of 3
x
+ 4
y
+ 12 = 0?
A.
12
B.
C.
D.
5
Hint
3.
Find the distance between
P
(5, -3) and the line with equation
5
x
+ 12
y
= 18.
A.
B.
C.
13
D.
Hint
4.
PQR
has vertices
P
(5, 8),
Q
(9, 5), and
R
(3, 2). Find the length of the altitude of
PQR
through point
P
(
PQR
Is not a right triangle, so there is only one altitude through
P
).
A.
B.
C.
5
D.
Hint
5.
Find the distance between the lines given by the equations
y
=
x
-
and 2
x
- 5
y
= 28.
A.
B.
C.
D.
Hint