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zheka24 [161]
3 years ago
9

Draw a rectangle that has a area of a square Units and a perimeter of 12 units what are the side length of the rectangle

Mathematics
1 answer:
inysia [295]3 years ago
7 0
Let s represent the length of one side of this rectangle, and w represent the width of the rectangle (length of one end).  Then 2s + 2w = 12 units, and the area is a = s*w.  Using the previous equation we can eliminate either s or w.  Since we want s, eliminate w:  2w = 12 - 2s, or w = 6 - s.

Then the area of the rect. is a = s(6 - s) = 6s - s^2.

You have not shared the actual area of the rect., but have represented it by "a."

Suppose that the area is given and is 90.  Then 90 square units = 6s - s^2, so that -s^2 + 6s - 90 = 0.  Using the Pyth. Thm., we find s as follows:

       -6 plus or minus sqrt( 6^2 - 4(-1)(-90)
s = ---------------------------------------------------
                            2(-1)

Unfortunately, s would come out as a pair of complex numbers, which is not possible in a situation where you're calculating lengths.

Please recheck this problem.  Was the aera of the rectangle, a, given?
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Solve this system of equations: y = x2 – 3x + 12 y = –2x + 14 What are the solutions ?
Nuetrik [128]
Answer:
The solution to the system of equation would be the two order pairs (2,10) and (-1,16)

Explanation:
The solution means the value of x that satisfies both equations.
Therefore, we will equate the two equations given and solve for x.
The first is: y = x^2 - 3x + 12
The second is : y = -2x + 14
Equate both and solve for x as follows:
x^2 - 3x + 12 = -2x + 14
x^2 - 3x + 2x + 12 - 14 = 0
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or x = -1 and y = (-1)^2 - 3(-1) + 12 = -2(-1) + 14 = 16
Therefore, the solution to the system of equation would be the two order pairs (2,10) and (-1,16)

Hope this helps :)

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3 years ago
-2 x (-8) = -1 x ? x (-8)
In-s [12.5K]

Answer:

-2x, -8= -x, x, -8

Step-by-step explanation:

Please mark me brainliest if I helped !

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Please help, i’ll give brainliest!!!
mr Goodwill [35]
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Find the area of the trapezoid please help
Xelga [282]

Answer:  12 units squared

Step-by-step explanation:

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