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Lunna [17]
3 years ago
8

Which is the simplified rational expression for r2-4r+5/r-4

Mathematics
1 answer:
Sliva [168]3 years ago
8 0

Step-by-step explanation:

\frac{ {r}^{2}  - 4r + 5}{r - 4}  -  \frac{ {r}^{2}  + 2r - 8}{r - 4}  \\  =  \frac{ ({r}^{2} - 4r + 5) - ( {r}^{2}  + 2r - 8) }{r + 4}  \\  =   \frac{ {r}^{2} -  {r}^{2}  - 4r - 2r + 5 - 8 }{r - 4}  \\  =   \frac{ - 6r - 3}{r - 4}

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3 years ago
The length of a rectangle is 3 meters greater than 2 times the width. The perimeter of the rectangle is 30 meters.What is the le
faust18 [17]

Answer:

11 meters

Step-by-step explanation:

Lets say that  w = width of the rectangle, to start. If the length of the rectangle is 3 meters greater than 2 times the width, the length of the rectangle is equal to 3 + 2w.  

The perimeter of the rectangle is 2 * length of rectangle + 2 * width of the rectangle. With the perimeter being equal to 30 and width being w and length being 2w+3:

The perimeter of the rectangle is 2(w) + 2(2w+3) = 30.  

We first need to find out w first, which will give us the width of the rectangle. Taking it step by step, we get:

2w + 4w + 6 = 30

6w + 6= 30

6w = 24 which is done by subtracting both sides by 6 to put the variables on one side and the values on the other side

w = 4 which is done by dividing 6 on both sides

Ultimately, this gets width to be 4 meters. Now that we found the width, we need to plug w = 4 into the equation we set up for length which is 2w+3.

That being said, the ANSWER is:

length of rectangle = 2(4)+3 = 11 meters

Hope this helps! :)

4 0
3 years ago
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Answer:

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3 years ago
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You set up the formula like this: 154/330 = x/60. (it is x/60 because you want to know the x amount of copies per 60 seconds)

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3 years ago
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5n + 34 = -2(1 - 7n)

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7 0
3 years ago
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