Permutations are written as nPx where n is the number of total choices possible and x is the number of choices that will be used. This is calculated as nPx = n! / (n-x)!.
Permutations represent the number of ways we can choose x objects from n possibilities where the order of selection matters.
Answer:
a= 200
b = 210
Step-by-step explanation:
My assumption is, we have to find the length of sides of rectangle
Given
perimeter = 2a + 2b = 820 ft (i) (here a is smaller side and b is larger side)
area = a*b = 42,000 ft^2 (ii)
from eq (1)
2a + 2b = 820
=> 2(a+b) = 820
=> a+b = 820/2
=> a + b = 410
=> a = 410-b (iii)
putting the value of a in eq(ii), we get
(410-b) *b = 42,000
410b - b^2 = 42,000
0 = b^2 - 410b + 42000
b^2 - 410b + 42000 = 0
b^2- 200b- 210b + 42000 = 0
b(b-200)-210(b-200) = 0
(b-200)(b-210) = 0
or
b= 210 and b = 200
if b is larger side than b =210
By putting value of b in eq(iii),
a = 410 -210 = 200
I got (-6.28, -0.76).
Step 1.) Write out the problems
-2x=8-6y
-15x=21-6y
Step 2.) Pick a problem and solve for X
-2x=8-6y = x=-4-3y
Step 3.) Plug in the x
(-15)(-4-3y)= 21-6y
60 + 45y= 21-6y
Step 4.) Solve for y
y=-0.76
Step 5.) Plug in the y value into one of the equations
-2x= 8- 6(-0.76)
-2x= 8 + 4.56
x= -6.28
Step 6.) Check your answers
-2(-6.28)=8-6(-0.76)
12.56=12.56
Step 7.) Write it out
(-6.28,-0.76)
181 is the only palindrome that has digits that when multiplied together give you 8.
Hope that helps :)
