Y int.: (0,-1.2)
X int.: (-0.7,0)
For a translation of 4 units right, the graph will become -3(x-4). the 4 is negative to indicate that the translation is right.
For a vertical stretch of 4, the graph will become 4x-3(x-4)=-12(x-4).
With this information, g(x)=-12(x-4)
Answer:
See attachment
Step-by-step explanation:
The given system is
2x-y=4
x-y=-2
We write the system in slope-intercept form:
y=2x-4
y=x+2
The first equation has slope of 2 and y-intercept at (0,-4)
When y=0, x=2.
We plot (0,-4) and (2,0) to graph this first equation.
The second equation has a slope of 1 and a y-intercept at (0,2)
Also when y=0, x=-2.
We plot (0,2) and (-2,0) and draw a straight line through them.
The graph of the system is shown in the attachment.
Answer:
2 sqrt(3)
Step-by-step explanation:
Simplify the following:
sqrt(363) - 3 sqrt(27)
sqrt(27) = sqrt(3^3) = 3 sqrt(3):
sqrt(363) - 33 sqrt(3)
sqrt(363) = sqrt(3×11^2) = 11 sqrt(3):
11 sqrt(3) - 3×3 sqrt(3)
-3×3 = -9:
11 sqrt(3) + -9 sqrt(3)
11 sqrt(3) - 9 sqrt(3) = 2 sqrt(3):
Answer: 2 sqrt(3)
I believe it would be 6 due to the radius being a half of the actual circumfrence