Answer:
parallel: -1/2
perpendicular: 2
Step-by-step explanation:
lines that are parallel have the same slope because they never intersect
lines that perpendicular, have the opposite reciprocal slope.
y = mx + b
where m is the slope
y = -1/2x + 6
-1/2 is the slope.
the slope in the equation given: -1/2
the slope parallel to the line given : -1/2
the slope perpendicular : opposite reciprocal, so the opposite of -1/2 is 1/2 and the reciprocal of 1/2 is 2.
Answer:
2/3
Step-by-step explanation:
Find the total amount of shirts: 6 + 8 + 4 = 18
Find the total amount of white and solid colored shirts : 8 + 4 = 12
Put the total amount of white and solid colored shirts over the total amount of shirts: 12/18
Simplify 12/18: 2/3
Answer:
Ex1. X=-1
Ex2. 3rd choice
Step-by-step explanation:
Ex1. The only discontinuity in the domain is x=-1
Ex2. You just add values of x to those options and see which one applies
y = -1 + 3/8x
2x - 5y = 6
Substitute the first equation into the second equation, since y is already by itself.
2x - 5(-1 + 3/8x) = 6
2x + 5 - 15/8x = 6
2x - 15/8x = 1
16/8x - 15/8x = 1
1/8x = 1 Multiply 8 on both sides to get x by itself
x = 8
Plug x into either of the equations.
y = -1 + 3/8(8)
y = -1 + 3
y = 2
2(8) - 5y = 6
16 - 5y = 6
-5y = -10
y = 2
(8,2)
