Answer:
Dimensions: 
Perimiter: 
Minimum perimeter: [16,16]
Step-by-step explanation:
This is a problem of optimization with constraints.
We can define the rectangle with two sides of size "a" and two sides of size "b".
The area of the rectangle can be defined then as:
This is the constraint.
To simplify and as we have only one constraint and two variables, we can express a in function of b as:
The function we want to optimize is the diameter.
We can express the diameter as:
To optimize we can derive the function and equal to zero.
The minimum perimiter happens when both sides are of size 16 (a square).
The scale factor is 4 because if you multiply 4 to all the number on figure A it will equal to figure Bs numbers(sorry if it doesn’t makes sense)
Answer:
\left(ax^2\right)\left(-6x^b\right)=12x^5\\\\(-6a)x^{2+b}=12x^5\to -6a=12\ and\ 2+b=5\\\\-6a=12\ \ \ |:(-6)\\a=-2\\\\2+b=5\ \ \ |-2\\b=3
Answer:\ a=-2;\ b=3
Step-by-step explanation:
To solve the equation:
Therefore, the answer is u=19.
Hope it helps!
The value of the x and y are -1/4 and -1/2 if the system of equations are 2x + 3y = -2 and 2x + y = -1.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The two linear equations:
2x+3y+2=0
2x+y=-1
Solving by elimination method.
2x + 3y = -2
2x + y = -1
Subtract the equation first to second:
2y = -1
y = -1/2
Plug the above value in the equation second:
2x - 1/2 = -1
2x = -1 + 1/2
2x = -1/2
x = -1/4
Thus, the value of the x and y are -1/4 and -1/2 if the system of equations are 2x + 3y = -2 and 2x + y = -1.
Learn more about the linear equation here:
brainly.com/question/11897796
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