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neonofarm [45]
3 years ago
6

B is the midpoint of AC. What is the length of AB? AB is 9x+7 and BC is -3x+20

Mathematics
1 answer:
ahrayia [7]3 years ago
8 0
<h3>Answer:</h3>

AB = \frac{67}{4}\\

<h3>Step-by-step explanation:</h3>

If B is the midpoint of \overline{AC} then AB is just half of AC and also, BC is just half of AC. This means that AB must be equal to BC. Essentially, 9x +7 = -3x +20 and we can solve for the of x from that equation.

9x +7 = -3x +20 \\ 9x +7 +3x = -3x +20 +3x \\ 12x +7 = 20 \\ 12x +7 -7 = 20 -7 \\ 12x = 13 \\ \frac{12x}{12} = \frac{13}{12} \\ x = \frac{13}{12}

Now we can solve for AB

AB = 9(\frac{13}{12}) +7 \\ AB = 3(\frac{13}{4}) +7 \\ AB = \frac{39}{4} +7 \\ AB = \frac{39}{4} +\frac{28}{4} \\ AB = \frac{67}{4}

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adell [148]

Answer:

The answer is $2041.67 approx.

Step-by-step explanation:

Loretta’s income last year was $81,300.

Amount made in salary = $56,800

So, additional passive income is = 81300-56800=24500 dollars

Given that Loretta earned the same amount of passive income each month for the entire year.

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3 0
3 years ago
Help again and thanks..........
LenKa [72]

Answer:

  • a = $8
  • s = $5

Step-by-step explanation:

When the coefficients don't lend themselves to solution by substitution or elimination, then Cramer's Rule can be useful. It tells you the solutions to

  • ax +by = c
  • dx +ey = f

are ...

  • ∆ = bd -ea
  • x = (bf -ec)/∆
  • y = (cd -fa)/∆

Using that rule here, we find ...

  ∆ = 5·3 -6·2 = 3

  a = (5·54 -6·41)/3 = 5·18 -2·41 = 90 -82 = 8

  s = (41·3 -54·2)/3 = 41 -18·2 = 5

This math can be performed in your head, which is the intent of formulating the rule in this way.

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Similarly, if you expect the solutions to be small integers (as here), then graphing is another viable solution method.

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<em>Comment on the question</em>

We're sad to see than only 16 tickets were sold to the two performances by the symphonic band.

6 0
3 years ago
HELP ASAP OVERDUE!!!!!!!!!!!!!!!!!!!!!!!! 15 POINTS + BRAINLIEST!!!
Sliva [168]

Answer:is A

A) Molly walked 5 miles and Mary walked 15 miles last month. If Molly walks 3 miles per week and Mary walks 2 miles per week, how long will it be before Molly has walked more miles than Mary?

Step-by-step explanation:

<h3>An inequality can have more than one solution. The set of all solutions of an inequality is called the solution set. The symbol ≥/ means “is not greater than or equal to.” </h3>

4 0
3 years ago
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Answer:

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