How many solutions does this system have? y=5x-1 y=-3+7
1 answer:
I'll assume that's
Please let me know if that's wrong.
These are two lines in point slope form. They'll meet at some x that makes the ys equal.
is the only solution.
Exactly one solution.
We really only had to ensure the lines had two different slopes. Then there's always exactly one solution.
If the lines had the same slope, they're either the same line (coincident) so an infinite number of solutions, all the points on that line, or they're parallel, no solutions.
Please let me know if that's wrong.
These are two lines in point slope form. They'll meet at some x that makes the ys equal.
Exactly one solution.
We really only had to ensure the lines had two different slopes. Then there's always exactly one solution.
If the lines had the same slope, they're either the same line (coincident) so an infinite number of solutions, all the points on that line, or they're parallel, no solutions.
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Answer:
<em>The largest rectangle of perimeter 182 is a square of side 45.5</em>
Step-by-step explanation:
<u>Maximization Using Derivatives</u>
The procedure consists in finding an appropriate function that depends on only one variable. Then, the first derivative of the function will be found, equated to 0 and find the maximum or minimum values.
Suppose we have a rectangle of dimensions x and y. The area of that rectangle is:
And the perimeter is
We know the perimeter is 182, thus
Simplifying
Solving for y
The area is
Taking the derivative:
Equating to 0
Solving
Finding y
The largest rectangle of perimeter 182 is a square of side 45.5