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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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How many solutions does the equation x_1 +x_2+x_3+x_4+x_5=21 have where x_1, x_2, x_3, x_4, and x_5 are nonnegative integers and
omeli [17]

Step-by-step explanation:

x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 21\\     (given)

Let us consider :

x_{1} = t_{1} + 1

x_{2} = t_{2}

x_{3} = t_{3}

x_{4}  = t_{4}

x_{5} = t_{5}

Now, by substituting the above considerations in the above equation, we get:

t_{1} + 1 + t_{2} + t_{3} + t_{4} + t_{5} = 21\\

t_{1}  + t_{2} + t_{3} + t_{4} + t_{5} = 20\\

where,

t_{i} \geq 1

then it follows

n = 20

r = 4

then no. of solutions for the eqn = _{r}^{n + r}\textrm{C}

                                                      = _{4}^{24}\textrm{C}

                                                      = 10626

Answer :

no. of solutions for the eqn 10626

4 0
3 years ago
ANSWER ASAP PLS
katrin [286]

Answer:

21/6 can be divided by 3, so 7/2

7/2 cannot be divided into any more shared factors, so final answer is 7:2.

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3 years ago
12.
Sveta_85 [38]

Answer:

The answer is d because 10-3 is 7

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3 years ago
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Evaluate the expression 4+−4√2+−1√ and write the result in the form a+bi.
castortr0y [4]

In the expression, the real number a equals 12 and the real number b equals -16.

<h3>How to explain the information?</h3>

It should be noted that the expression given is:

= (4 - 2i)²

Therefore, we need to expand the expression. This will be:

= (4 - 2i)(4 - 2i)

= 16 -8i -8i + 4i²

= 16 -16i +4i²

Substitute -1 for i²

= 16 - 16i + 4(-1)

= 16 - 16i - 4

= 12 - 16i

Therefore, the value of the expression is 12 - 16i.

Learn more about expressions on:

brainly.com/question/723406

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Evaluate the expression ( 4 − 2 i )² and write the result in the form a + b i.

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Why does the shape of the distribution of the weights of russet potatoes tend to be symmetrical?
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