Start by writing the system down, I will use 
to represent 
Substitute the fact that 
into the first equation to get,
Simplify into a quadratic form (
),
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
which then must factor into
And the solutions will be 
.
Clearly for small coefficients like ours 
, this is very easy to figure out. To get 5 and 6 we simply say that 
.
This fits the definition as 
and 
.
So as mentioned, solutions will equal to but these are just x-values in the solution pairs of a form 
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are 
and 
.
Hope this helps :)
Answer:
150°
Step-by-step explanation:
to find the individual angle of a REGULAR dodecagon (which means that all sides are equal), you'd use the equation I(individual angle)= (n-2)×180/n
N is number of sides. The number of sides on a dodecagon is 12. So, substitute N for 12
I= (12-2)×180/12 which simplifies to 10×180/12
10×180= 1800
1800/12 = 150
so, an individual interior angle of a dodecagon is 150°
Answer:
2311
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Answer:
Hence he will be 4 large containers and 4 small containers
Step-by-step explanation:
Given data
Let the number of small containers be x
and the number of large containers be y
x+y= 8---------1
also
2x+4y= 24-----2
the system of equation to solve the problem is
x+y= 8
2x+4y= 24
from 1
x=8-y
put this in 2
2(8-y)+4y= 24
16-2y+4y= 24
2y= 24-16
2y= 8
y= 8/2
y= 4
put y= 4 in 1
x+4=8
x= 8-4
x= 4
Hence he will be 4 large containers and 4 small containers
