The slope of parallel lines is equal and the slope of perpendicular lines is a negative multiplicative inverse of each other.
<h3>What is the standard equation of a line?</h3>
The standard equation of a line is given by
y = mx+c
Here m is the slope and c is the y-intercept
The slope can be determined by
m = (y₂ -y₁)/(x₂ -x₁)
A square is a polygon with four sides, the opposite sides are parallel and all the sides are equal, all the angles have an equal measure of 90 degrees.
Two lines are parallel to each other when they are at a fixed distance always and never intersect with each other.
The slope of the lines parallel to each other is equal.
Two lines are said to be perpendicular when they intersect at 90 degrees.
The slope of two perpendicular lines has a product of -1.
To known more about the standard equation of a line
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Sandwiches = S
Water = W
S + W = 200
S +W -W = 200-W
S = 200-W
$3S + $0.75W = $318.75
$3(200-W) + $0.75W = $318.75
$600 - $3W + $0.75W = $318.75
$600 -$2.25W = $318.75
$600 - $600 - $2.25W = $318.75 - $600
- $2.25W = -$281.25
-$2.25W/-$2.25 = -$281.25/-$2.25
W = 125
S = 200-125
S = 75
Mikhael bought 75 sandwiches and 125 bottles of water
CHECK
$3S + $0.75W = $318.75
$3(75) + $0.75(125) = $318.75
$225 + $93.75 = $318.75
$318.75 = $318.75
Answer:
Nonstop ride is 12 hours long.
Explanation:
With stopping time taken by train = 18 hours.
Without stopping time is reduced by 1/3.
Time for non stop ride = Time for stopping ride - (Time for stopping ride/3)
= 2 x Time for stopping ride/3
= 2 x 18 /3 = 12 hours.
So, nonstop ride is 12 hours long.
Multiplying an integer by a fraction can be treated as the following operation:

The x's cancel out, since they're both on the numerator and denominator, so you'll be left with this fraction:

The fraction can be further simplified by dividing both the numerator and denominator by 3:

The answer is
1/2.