Answer: y = 4x/3 - 5/2
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m = slope = (y2 - y1)/(x2 - x1)
The given line, L1 passes through A(6, - 7) and B(- 6, 2). The slope of line L1 is
m = (2 - - 7)/(- 6 - 6) = 9/ -12 = - 3/4
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.
Therefore, the slope of line L2 passing through the midpoint, M is 4/3
The formula determining the midpoint of a line is expressed as
[(x1 + x2)/2 , (y1 + y2)/2]
Midpoint, M = [(6 + -6)/2 , (- 7 + 2)/2]
= (0, - 5/2]
This means that the y intercept of line L2 is - 5/2
The equation of L2 becomes
y = 4x/3 - 5/2
Let's form the difference of the two expressions and see what we can learn.
(2y -x) -(2x -y) = 2y -x -2x +y = 3y -3x = 3(y -x)
Since y > x, this is positive, so 2y -x is greater than 2x -y.
Answer:
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Step-by-step explanation:
Answer:
Unlikely, the probability is close to 0
Step-by-step explanation:
Given
Required
Determine the likelihood
The given probability, 0.15 is close to 0. This implies that the event is unlikely.
From the list of given options, option C answers the question
Answer:the number of miles per gallon that they were able to get is 18
Step-by-step explanation:
The Paddock family drove 360 miles on a full tank of gasoline.
if their gas tank holds 20 gallons of gas, it means that the number of miles per gallon that they were able to get would be total number of miles driven divided by the car's tank capacity. It becomes
360/20 = 18 miles per gallon
