Answer:
parallel:

perpendicular:

Step-by-step explanation:
original line:
-7x + 8y = 4
m = 7/8
parallel:
m = 7/8
L: 7x - 8y = k
(4, -4) -> L
28 + 32 = 60 = k
L: 7x - 8y = 60
perpendicular:
m = -8/7
L: -8x + 7y = k
(4, -4) -> L
-32 + 28 = -4 = k
L: -8x -7y = -4
=> 8x + 7y = 4
Answer:
There are 220 choices
Step-by-step explanation:
Given

(President, Treasurer and Secretary)
Required
Determine number of selection (if no restriction)
This is calculated using the following combination formula:

Where


So, we have:









<em>There are 220 choices</em>
Answer:
13,62$
Step-by-step explanation:
The total hours Riley worked last week: 7.5*3= 22.5 (hours)
Riley's hourly rate of pay: 306.45/ 22.5= 13.62$
Answer:
Length: 21 cm and Width: 6cm
Step-by-step explanation:
Let
be the width and
length of the rectangle. We know:
-------- eq. 1
(Perimeter of the rectangle) ------- eq. 2
Substitute equation 1 in equation 2:

Using the value of y, we find x.

Answer:
Step-by-step explanation:
multiply 0.83 by 0.06 = 0.0498
multiply 0.17 by 0.52 and add that to the first one
which gives you the prob of winning of 0.1382