Answer: x = t, y = 2t/3 + 2
Step-by-step explanation:
You want to write both x and y in terms of t
so if you rearrange 4x - 6y = -12 you get
-6y = -4x - 12
6y = 4x + 12
y = 2x/3 + 2
set x = t
and y = 2t/3 + 2
and that's it!
another one you could do is
x = t/2
y = t/3 + 2
or even
x = 3t/2
y = t + 2
i like this one the most because it looks more elegant
The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
Learn more about about equation of perpendicular lines on:
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Answer:
you wrote the answer
Step-by-step explanation:
There would be 1,320 different ways, just multiply all the possible front runners 12 second runners 11 and third runners 10, 12x11x10=1,320
