Change the numbers into improper fractions then subtract
Answer:
The slope of a line parallel to this line is -7/6, and the slope of a line perpendicular to this line is 6/7.
Step-by-step explanation:
7x+6y=8
6y=8-7x
6y=-7x+8
y=-7/6x+8/6
y=-7/6x+4/3
Parallel lines have the exact same slopes, but perpendicular lines have negative reciprocal slopes.
Step-by-step explanation:
y-5=1/2(x+8) =
2(y-5)=x+8
2y-10=x+8
2y=x+18
2y-x-18=0
Answer:
1/4
Step-by-step explanation:
There are 40/8 = 5 integers in the range that are divisible by 8. There are floor(40/6) = 6 integers in the range that are divisible by 6. Of those sets of integers, one (24) is divisble by both numbers. So, altogether, there are 5+6-1 = 10 of the 40 integers that are divisible by 6 or 8.
If you choose an integer at random from the range 1–40, the probability is 10/40 = 1/4 that it will be divisible by 6 or 8.
Answer:
Step-by-step explanation:
Discussion
The object of this is make w by itself on one side of the equation.
Equation
x = 3 (y + w) - 1 Add 1 to both sides of the equation.
x + 1 = 3(y + w) - 1 + 1 Combine
x + 1 = 3(y + w) Remove the Brackets
x + 1 = 3y + 3w Notice y and w are affected by the 3. Subtract 3y
x + 1 - 3y = 3y-3y + 3w Combine
x + 1 = 3w Divide both sides by 3
(x +1)/3 = 3w/3
(x + 1)/3 = w
Answer: (x + 1)/3 = w
