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Ulleksa [173]
2 years ago
13

The difference of twice a number and another number is 5. The sum of the two numbers is 19. Find the numbers

Mathematics
2 answers:
Scilla [17]2 years ago
8 0

Answer:

12 & 7

Step-by-step explanation:

*)Solve the system of equations:

x+y=19

x-y =5

=> 2y=14 =>y = 7

y=7 => x = 12

joja [24]2 years ago
7 0

Answer:

12 & 7

Step-by-step explanation:

12 + 7=19

12 - 7=5

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A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct
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<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

          Perimeter=2(L+\sqrt{100-L^2})

<h2>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:

10=\sqrt{L^2+W^2}

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

Hence, we have:

10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}

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

Hence, we have:

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Here we have:

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3 years ago
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