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Jobisdone [24]
3 years ago
11

Find the value of x if A,B,and C are collinear points and B is between A and C. AB=3x, BC=2x-7, AC=2x+35

Mathematics
2 answers:
Mariana [72]3 years ago
6 0

Answer:

x = 14

Step-by-step explanation:

3x+2x-7=2x+35

then solve for x

bekas [8.4K]3 years ago
3 0

<u>Answer:</u>

x = 14

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

We are given that A, B and C are collinear points and B is in between A and C.

The length from A to B is 3 x, length from B to C is 2x - 7 and AC is 2 x + 35.

We are to find the value of x.

A B + B C = A C

3 x + 2 x - 7 = 2 x + 3 5

3 x + 2 x - 2 x = 3 5 + 7

3 x = 4 2

x = \frac { 4 2 } { 3 }

x = 14

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5 0
3 years ago
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The question is: "Without actually graphing, describe how the graph of y = ( -2^(x+17) ) - 4.3 is related to the graph of y = 2^
Leokris [45]

Answer:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

Step-by-step explanation:

When functions are transformed there are a few simple rules:


  • Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
  • Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
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  • Multiplying the function by a number greater than 1 stretches it away from the x-axis.
  • Multiplying by a negative flips the graph.

The graph of (-2^{x+17}) -4.3 compares to 2^x in the following ways:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

4 0
3 years ago
4/9 / 9/5= the answer is
mr Goodwill [35]

Answer:

  20/81

Step-by-step explanation:

Without parentheses, it is hard to tell what you are dividing. We assume you want ...

  (4/9)/(9/5)

Then ...

\displaystyle\frac{\left(\frac{4}{9}\right)}{\left(\frac{9}{5}\right)}=\frac{4}{9}\cdot\frac{5}{9}=\frac{4\cdot 5}{9\cdot 9}=\frac{20}{81}

_____

As written (without parentheses), your expression is evaluated left to right, so evaluates to ...

  4/(9·9·5) = 4/405

7 0
3 years ago
An assembly line with 10 tasks needs be designed. The total time for all tasks is 16 minutes. If you need to produce 30 units/ho
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The cycle time is computed as the operating time daily divided by the scheduled output.

It is important to note that the daily capacity of the operation layout is the operating time divided by the cycle time.

Therefore,

If you need to produce 30units/hour.

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The average cycle time is the average time between the completions of units.

60/30= 2 average cycle time

=16/2

=8

8 work stations is the minimum number that would be needed.

It is important to know that in an assembly line balancing, the minimum number of work station is the ratio of the sum of all tasks time to the cycle time.

5 0
3 years ago
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