The common difference, d, is 5 and the starting value, a, is 2.
Filling this in the form of

<span>you get
</span>
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).
Answer: The parabola opens upwards.
Step-by-step explanation:
Multiplying fractions is just multiplying the numerators together and the denominators together.


To find out which one is bigger, we need a common denominator. The LCM of 7 and 21 is 21, so convert the first fraction into a denominator of 21. 7 goes into 21 three times, multiply this to the numerator and denominator:

Now just compare the numerators to see which one is bigger.

therefore,
-5m - 6 >= 24
Add six on both sides
-5m >= 30
Divide by negative five on both sides
m >= -6