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Rasek [7]
2 years ago
13

A regular hexagon and a rectangle have the same perimeter, P. A side of the hexagon is 4 less than the length, l, of the rectang

le. The width of the rectangle, w, is 2 less than the length of the rectangle. What is the perimeter of the hexagon?
A rectangle with a length of l and width of w. P = 2 l + 2 w. A hexagon with side lengths of s. P = 6 s.
Mathematics
1 answer:
disa [49]2 years ago
3 0

The answer and explanation is given in the picture below

I hope it helps.

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Contact [7]

k:\ y=m_1x+b_1\\\\l:\ y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\\text{We have}\\\\k:\ 2x-y=1\ \ \ |-2x\\-y=-2x+1\ \ \ \ |\cdot(-1)\\y=2x-1\to m_1=2\\\\l:\ y=m_2x+b\\\\l\ ||\ k\iff m_2=2\\\\l:\ y=2x+b\\\\\text{The line l contains (4, -6)}\\\\\text{Put the values of coordinates to the equation of line l}\\\\-6=2(4)+b\\-6=8+b\ \ \ \ \ |-8\\b=-14\\\\Answer:\ y=2x-14\to 2x-y=14

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2 years ago
Slope of a parallel line with the points (7,-5) and (-5,7)
VLD [36.1K]

Answer: Negative 1  The slope of parallel lines is the same.

The attachment shows two such lines, given coordinates labeled.

Step-by-step explanation:

Find the slope of the line passing through the given points.

 rise/run  

Rise is the difference in y-values  7-(-5)  = 12

Run is the difference between x-values  -5 - 7  = - 12

The Slope is 12/-12   simplify:

slope = -1

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