<h2>
Answer:</h2>
The expression which represents the perimeter P of the rectangle as a function of L is:

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Step-by-step explanation:</h2>
The length and width of a rectangle are denoted by L and W respectively.
Also the diagonal of a rectangle is: 10 inches.
We know that the diagonal of a rectangle in terms of L and W are given by:

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )
Hence, we have:

But we know that width can't be negative. It has to be greater than 0.
Hence, we have:

Now, we know that the Perimeter of a rectangle is given by:

Here we have:

Answer:
1.U={1,2,3,4,5}
A={2}
B={2,3}
C={4,5}
2.U={1,2,3,4}
A={1,2}
B={2,3}
C={4}
Step-by-step explanation:
We are given that
and 
are different sets
1.We have to construct a universe set U and non empty sets A,B and C so that above set in fact the same
Suppose U={1,2,3,4,5}
A={2}
B={2,3}
C={4,5}

{2,3,4,5}
={2}
{2,3,4,5}={2}
={2}
={2}
Hence, 
2.We have to construct a universe set U and non empty sets A,B and C so that above sets are in fact different
Suppose U={1,2,3,4}
A={1,2}
B={2,3}
C={4}

={2,3,4}
={1,2}
={1,2}
={1,2}
{2,3,4}={2}
Hence, 
The answer is C
If the two chords intersect each other, that means that they must both be diameters. That means that JL + NL has to be equal to KL + ML. Because they are both diameters, they both have to be equal to each other. The only choice that satisfies this condition is C where both of the diameters are 16 in long.
Hope this helps :)
Answer:
The slope of the line is 3.
Step-by-step explanation:
Using the rise over run rule, we are able to tell the slope is 3/1, which is just 3.
The value of x in the equation 1/2x = -1/2x when 4 is subtracted from both sides is 0(not defined)
Subtraction of fraction
Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction
1/2x = -1/2x
- Subtract 4 from both sides
1/2x - 4 = -1/2x - 4
(x-8) / 2 = (-x-8) / 2
(x - 8) / 2 = (-x-8) / 2
2(x - 8) = 2(-x - 8)
2x - 16 = -2x - 16
2x + 2x = -16 + 16
4x = 0
Learn more about fraction:
brainly.com/question/11562149
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