Answer: (0,1)
Step-by-step explanation:
Hope this helps
Answer:
Step-by-step explanation:
Prime factorization: 43 is prime. The exponent of prime number 43 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 43 has exactly 2 factors.
Answer:
A) A = 1; B = 0; C = 20
Step-by-step explanation:
The standard form for a quadratic is
Ax^2 +Bx +C=0
We are given
1/4x^2 + 5 = 0
Rewriting
1/4x^2 +0x+ 5 = 0
A = 1/4 B=0 C=5
We can multiply each side by 4
4(1/4x^2 +0x+ 5) = 0*4
x^2 +0x+ 20 = 0
A = 1 B=0 C=20
Let 
be the dimensions of the rectangle. We know the equations for both area and perimeter:
So, we have the following system:
From the second equation, we can deduce
Plug this in the first equation to get
Refactor as
And solve with the usual quadratic formula to get
Both solutions are feasible, because they're both positive.
If we chose the positive solution, we have
If we choose the negative solution, we have
So, we're just swapping the role of 
and 
. The two dimensions of the rectangle are 
and 
