Hello,
For a given perimeter (P) there are an infinity of Area (A)
Let's say x the length, and y the wide of the rectangle
P=2(x+y)
A=xy
k=x-y >=0
As (x+y)²-4xy=(x-y)²: A²-4P=k² or P=(A²-k²)/4
In primus, you will find a graph (abacus) giving P for a A and k given.
Negative Area or P are excluded.(just remind the first quadrant, A>=0 and P>=0)
Answer:
10/16
Step-by-step explanation:
I looked at the 5 and looked at every other number and you can't multiply evenly with those other numbers. You can only do 5x2 which will get you ten. But that won't work for the other numbers.
Hope this helps :)
F°g(x) = (3x-2)² -1
= 3x(3x-2)-2(3x-2) -1
= 9x² -6x-6x+2-1
=9x²-12x+1
You just have to multiply straight across. Multiply the numerators for the new numerator, and the denominators for the new denominator.
5*3=15
4*8=32
15/32 is the answer (b).