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Answer:
A) 3y = x + 16
Step-by-step explanation:
The equation of a perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The constant will be chosen to match the given point.
Swapping coefficients, we get ...
-3y = x + c
Negating the y-coefficient gives ...
3y = x + c
Filling in the given point, we have ...
3(5) = -1 + c
16 = c
The equation of the perpendicular line can be written as ...
3y = x + 16 . . . . matches choice A
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Note that choice A is the only equation that gives a line with positive slope. The given equation has negative slope, so its perpendicular must have positive slope.
Answer:
They must buy 501 pounds of produce for the membership to be worth it.
Step-by-step explanation:
You can solve this question by first finding the difference between $0.10 and $0.25.
With some simple subtraction (0.25-0.10) we can find that the difference is that a non-membership person would pay $0.15 per pound.
You then divide 75 by 0.15 to find the extra weight it would take for the produce to equal $75. You should get 500 pounds.
At 500 pounds, the price would be equal if you had a membership or not.
You then must add 1 pound to make it more favorable to have the membership.
At 501 pounds the person with the membership would pay $125.10 and the person without the membership would pay $125.25
Answer: The potential energy decreases and the kinetic energy increases
Step-by-step explanation:
When a body is at rest , the Potential energy is maximum because the body is not moving and the acceleration is therefore zero but as soon as the body starts moving , it will convert the potential energy to kinetic energy , therefore the kinetic energy will therefore increase.
Step-by-step explanation:
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