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diamong [38]
3 years ago
9

Indicate the equation of the given line in standard form. The line with slope and containing the midpoint of the segment whose e

ndpoints are (2, -3) and (-6, 5).
Mathematics
1 answer:
Tems11 [23]3 years ago
8 0

Answer:

x + y = -1

Step-by-step explanation:

To write the equation of a line, find the slope and use it with a point in the point slope form.

You can find the slope using the slope formula.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{5--3}{-6-2} = \frac{8}{-8}=-1

Substitute m = -1 and the point (2,-3) into the point slope form.

y - y_1 = m(x-x_1)\\y --3 = -1(x-2)\\y+3=-1(x-2)

Convert to standard form by applying the distributive property and rearranging the terms.

y+3 = -1(x-2)

y + 3 = -x + 2

x + y + 3 = 2

x + y = -1

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A wine maker has 2 wine barrels labeled A and B. There is more wine in barrel A than in barrel B. The wine maker wants the 2 bar
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Answer:

Step-by-step explanation:

Gonna take this nice and slow.  First, at the end it says together both barrels have 48 pints when equal, which means added together they have 96.  This stays even as we  pout from one to the other.  So A+B = 96.  Keep that in mind.  Also I hope you're good with your systems of equations.

One step at a time.  We start with A and B

First, he doubles what is in B, which means he takes that much out of A.

A turns to A-B and B turns to 2B, hopefully you understand that.

Second A is doubled, which means that much is taken out of B.

A-B turns to 2(A-B) or 2A - 2B and 2B turns to 2B - (A - B) or 3B - A

Third and finally B is doubled again

2A - 2B turns to 2A - 2B - (3B - A) or 3A - 5B and 3B - A turns to 2(3B - A) or 6B - 2A

Now we have our system.

A + B = 96

3A - 5B = 6B - 2A or to make it a little nicer 5A = 11B

Let me know if you need help witht he system solving, but you wind up with

A = 66

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Again, let me know if you don't understand some part.

7 0
3 years ago
Read 2 more answers
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