Make sure you know the formula pertaining to the question.
1. c=2(pi)(r)
2. c=2(pi)(d)
r= radius
d= diameter
c= sircumference
So we are given that the circumference of a circle is 12.3pi and the radius is unknown.
So let's plug in the known values
**we use the formula with the radius, becuase we are looking for the radius.
c=2(pi)(r)
12.3(pi)=2(pi)(r)
divide each side by pi
12.3=2(r)
divide each side by 2
r=6.15 in.
To completely factor you must from the Greatest common factor
In this case it is 4z
So the complete factorization is
4z(4x + 5y)
-10,2 is your answer when you simplify it
Every whole number is a rational number because its a whole number meaning it's not a fraction becasue fractions are irrational numbers.
~ All whole numbers are rational but not all rational numbers are whole.
Hope this helps!!! :D
Answer:
x = 1
y = -1
z = 2
Step-by-step explanation:
You have the following system of equations:

First, you can subtract euqation (3) to equation (1):
x + 2y - z = -3
<u>-x +y -z = - 4 </u>
0 3y -2z = -7 (4)
Next, you can multiply equation (3) by 2 and subtract it to equation (2):
2[ x -y + z = 4]
<u> -2x +y -z = -5</u>
0 -y + z= 3 (5)
You multiply equation (5) by 2 and sum (5) with (4):
2[ -y + z = 3]
<u> 3y -2z= -7</u>
y + 0 = -1
Then y = -1
Next, you replace y=-1 in (5) to obtain z:
-(-1) + z = 3
z = 2
Finally, you can replace z and y in the equation (3) to obtain x:
x - (-1) + (2) = 4
x = 1