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Y_Kistochka [10]
3 years ago
7

Write the equation of a line perpendicular to 5x - 7y =-6 that passes through the point (-5,6)

Mathematics
1 answer:
Likurg_2 [28]3 years ago
3 0

9514 1404 393

Answer:

  7x +5y = -5

Step-by-step explanation:

You can find the perpendicular line by swapping the x- and y-coefficients, and negating one of them. The new constant can be found by using the given point.

  7x +5y = 7(-5) +5(6) = -5

The perpendicular line through (-5, 6) is ...

  7x +5y = -5

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Find the selling price of a $36 item after a 50% markup
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2 years ago
if you have 89 apples and you take 72 away and buy 14 more and take 12 away then buy 42 more and give them 16 more
Delicious77 [7]

Answer:

The correct answer is that there will be 45 remaining apples.

Step-by-step explanation:

So, you start off with 89 and then you take 72 away, that leaves you with 17 apples. Then, you buy 14 more which brings it up to 31. After that, you give 12 more away which brings your total down to 19. Next, you go out and buy 42 more, which adds up to  61 remaining apples. Finally, you give away 16 more, which brings you to a grand total of, 45 apples left.

Hope this helps!

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5 0
4 years ago
You have some money in your wallet. You don't know the exact amount, but you think you have 60 dollars give or take 15 dollars.
Karolina [17]

Answer:

The least amount is 75 dollars.

The biggest amount is 125 dollars

Step-by-step explanation:

The absolute value function will help us determine a  range of possible values since we do not know the exact amount of money.

Defining the function.

Let x be the exact amount of money in my pocket, we can define the equation

And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation.  So we can write:

We have a difference inside an absolute value, since we know the difference must be either +25 or -25.

Solving for x

Using the definition of absolute value we have

So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is

Solving for x give us

If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition

Solving for x give us

So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.

6 0
2 years ago
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