Answer:
A: (3^2)*2
B: (2^3)*3
C: 2*19
D: (3^2)*9
Step-by-step explanation:
We have:
A) 18= 3*3*2= (3^2)*2
B) 24=2*2*2*3=(2^3)*3
C) 38 = 2*19
D) 81 =3*3*9=(3^2)*9
You can perform all kind of operation that are one the inverse of the other, so that the value won't change. For example, you can multiply and divide by 2:

Or add and subtract 5:

Answer:
5 = x
Step-by-step explanation:
12x+40=15x+25
Subtract 12x from each side
12x-12x+40=15x-12x+25
40 = 3x +25
Subtract 25 from each side
40-25 = 3x+25-25
15 =3x
Divide by 3
15/3 =3x/3
5 = x
Answer:
C. 
Step-by-step explanation:
We proceed to solve for
by the Pythagorean Theorem:
(1)





There are two different solutions:
, 
A solution of
is considered realistic when the length of every side of the triangle is a not negative number.














The only realistic set of solutions is for
, and the radius of the circle is represented by the line segment
: 
And the area of the circle (
) is calculated from the following formula:



The correct answer is C.