We can readily know the x^2-4x+4=3y then use it to replace the same function in the first equation which refers to the 3y+y^2-6y=0
y^2-3y=0
y(y-3)=0
y1=0 -----------y2=3
The y-intercept is basically the value of the output of the function, g(x), when x=0.
Let's replace g(x) with the variable y to make this look a bit simpler.
2y + 3x = 6
Now, we enter the value of x=0 to get the y-intercept.
2y + 0 = 6
2y = 6
Divide both sides by 2
y = 3
The value of y is 3. Now enter the values of x=0 and y=3 into point-form (x,y) to get (0,3). You should know which answer choice to choose now.
Have an awesome day!
I used 3.14 for pi to solve easier.
6. 6.28
7. 21.98
8. 94.2
One option for the final answer is 30 and 22...
I think I would use the second answer that you provided
Answer:
36
Step-by-step explanation:
AOB + BOC = AOC
AOC = 90 since the lines are perpendicular
6x-12 + 3x+30 = 90
Combine like terms
9x + 18 = 90
Subtract 18 from each side
9x+18-18 = 90-18
9x = 72
divide by 9
9x/9 = 72/9
x = 8
AOB = 6x - 12
= 6*8 - 12
= 48 -12
= 36