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Svetach [21]
3 years ago
11

Need an answer fast!!!

Mathematics
1 answer:
trapecia [35]3 years ago
4 0

Answer:

The length of the line segment is of 5.9 units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between these two points is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

How long is the line segment?

The distance between points P and Q. So

P(1,3), and Q(4,8).

D = \sqrt{(4-1)^2+(8-3)^2} = \sqrt{3^2 + 5^2} = \sqrt{34} = 5.9

The length of the line segment is of 5.9 units.

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The length of a rectangle is 3 cm greater than its width. The perimeter is 24 cm. Find the dimensions of the rectangle.
Shalnov [3]

Answer:

The width is 4.5, and the length is 7.5.

Step-by-step explanation:

We know that the perimeter is 24 cm, and the length is 3 cm greater than the width. We know that the perimeter = l*w. This info gives us an equation:

24 = (x + 3)*2 + x * 2. The 24 is the perimeter, and x is the width, so l is x + 3. Now we just have to solve for x.

24 = (x + 3)*2 + x * 2 | Simplify the Parenthesis

24 = 2x + 6 + x * 2 | Subtract 6 from both sides

18 = 2x + x * 2 | x * 2 is 2x

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18 = 4x | Now we divide by 4

4.5 = x. This mean the width is 4.5, and the length is 4.5 + 3, or 7.5. We can plug these into the original formula to confirm.

24 = 7.5*2 + 4.5*2, 24 = 15 + 9, 24 = 24.

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What is another way to wright the same equation, for example 1/4x-5
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