Answer:
the solution of the system is:
x = 1 and y = 2.
Step-by-step explanation:
I suppose that we want to solve the equation:
-6*x + 6*y = 6
6*x + 3*y = 12
To solve this, we first need to isolate one of the variables in one of the equations.
Let's isolate y in the first equation:
6*y = 6 + 6*x
y = (6 + 6*x)/6
y = 6/6 + (6*x)/6
y = 1 + x
Now we can replace this in the other equation:
6*x + 3*(1 + x) = 12
6*x + 3 + 3*x = 12
9*x + 3 = 12
9*x = 12 - 3 = 9
x = 9/9 = 1
Now that we know that x = 1, we can replace this in the equation "y = 1 + x" to find the value of y.
y = 1 + (1) = 2
Then the solution of the system is:
x = 1 and y = 2.
Answer:
(40/3)*pi
Step-by-step explanation:
lets first find the area of the little circle
A=pi*r^2
A=pi*3^2
A=9pi
Now, lets find the area of the big circle
A=pi*r^2
A=pi*(3+4)^2
A=pi*7^2
A=49pi
now lets subtract the area of the little circle from the area of the big circle
49pi-9pi=40pi, now we found the area of the "bagel)
lets find what portion of the bagel is the shaded region
120/360=1/3
now lets multiply the bagel area by the fraction
40pi*(1/3)=
(40/3)*pi or (40*pi)/3
Answer:
irrational
Step-by-step explanation:
rational is if its repeating like (1.11111111) irrational if its (1.2464383252222)
Answer:
The area of the base is 8pi and the radius is 2sqrt(2)
Step-by-step explanation:
Answer:
1). g(-9) = -81.914
2). Last option
Step-by-step explanation:
1). f(x) = x²
For x = -9
f(-9) = (-9)² = 81
g(x) = 
g(-9) = ![\frac{32}{[2(-9)-17]}](https://tex.z-dn.net/?f=%5Cfrac%7B32%7D%7B%5B2%28-9%29-17%5D%7D)
= 
= - 
(g - f)(-9) = g(-9) - f(-9)
= 
= 
= 
= -81.914
2). The relation is not a function because this function doesn't passes a vertical line test.
Last option will be the answer.
