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Elan Coil [88]
3 years ago
13

6. Calculate the slope of the line given the two points: (4,9) and (7,11).

Mathematics
1 answer:
Firdavs [7]3 years ago
8 0
2/3 (fraction) is the slope of the line
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the length of a rectangle is 3cm more than the width. find the length and the width if the perimeter of the rectangle is 98cm.
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The perimeter of a rectangle is <u>length + length + width + width</u>.

We know that the length of a rectangle is 3cm more than its width, which gives us the equation:  (l for length and w for width)

l = 3 + w

We also know that the perimeter of the rectangle is 98cm, which gives us the equation:

98 = 2l + 2w         (equation for perimeter of a rectangle as noted above)

We can divide both sides of this equation by 2 to get:

49 = l + w

Now we'll stick l = 3 + w into the above equation, which gives us:

49 = 3 + w + w

which simplifies to 49 = 3 + 2w.

Now we'll subtract 3 from both sides:

49 - 3 = 46

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which gives us 46 = 2w.

Dividing both sides by 2 gives us 23 = w.

Substituting w = 23 into the equation l = 3 + w gives us:

l = 3 + 23

l = 26cm.

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