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484132604
07.06.2020 •
Mathematics
Line k has an equation of y = -2x - 6. Perpendicular to line k is line I, which passes through
the point (3, 6). What is the equation of line l?
Write the equation in slope-intercept form. Write the numbers in the equation as proper
fractions, improper fractions, or integers.
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Ответ:
y = x/2 +9/2
Step-by-step explanation:
y = -2x - 6.
The equation of the line perpendicular to the above equation has a slope 1/2
The equation of a slope is
y2-y1/x2-x1 = 1/2
To form an equation of the line we chose a point that lies on the graph which is perpendicular to y = -2x - 6 and an arbitrary point (x,y)
A point is given us already and that point is (3, 6).
Tie all together to compute the slope we have;
y-6/x-3 = 1/2
2(y-6) = x-3
2y-12= x-3
2y = x-3+12
2y= x+9
Dividing through by 2 we have
y = x/2 +9/2
y = x/2 + 4.5
Ответ:
The first pizza is 6 slices, so each slice is 1/6 of a pizza. The second pizza is 4 slices, so each slice is 1/4 of a pizza. If you were to take one slice of each, you would get 1/6 +1/4 slice, which would be 5/12 of a pizza, as opposed to if you took 2 slices of the first pizza, which would only be 4/12 of a pizza.