For this case we have a factorized quadratic equation. We equal each factor to zero and thus find the roots:
Subtracting 5 from both sides we have:
Thus, the first solution of the equation is:
On the other hand we have:
Adding 3 to both sides:
Thus, the second solution of the equation is:
Answer:
The solutions of the equation are:
Let
x---------> radius of the cylinder
y---------> the height of the cylinder
we know that
x=2y
[surface area of cylinder]=2*[pi*r²]+2*pi*r*h
surface area=108*pi m²
r=x
h=y
x=2y
108*pi=2*[pi*(2y)²]+2*pi*(2y)*y
108*pi=8*pi*y²+4*pi*y²
108*pi=12*pi*y²
y²=108/12
y²=9----------> y=√9--------> y=3 m
x=2y-------> x=2*3-----> x=6 m
the answer is
the height of the cylinder is 3 m
Answer:
ticket in Japan: 17.23 $
ticket in Switzerland: 13.26 $
Step-by-step explanation:
let the price of one movie ticket in Switzerland be Y
let the price of one movie ticket in Japan be X
then accordingly,
it is given that
3x + 2y = 78.21
and
2x +3y = 74.24
multiplying the first equation by 2 and second by 3 we get
6x + 4y = 156.42
6x + 9y = 222.72
subtracting 1st equation from second we get
5y = 66.3
y = 13.26
by putting in the value of y in equation 2 we get:
2x + 39.78 = 74.24
2x= 34.46
x= 17.23
