Answer:
When we reflect over the y-axis, sign of the x-coordinate changes.
Step-by-step explanation:
Since we know when we'll reflect over y-axis, y-axis will work as a mirror. Y-coordinates will remain same but the only change that happens to any point on the graph is x coordinates.
In second quadrant x-coordinates are negative and in first quadrant positive, while y coordinates are positive in both first and second quadrant. So if we will reflect from first to second or second to first quadrant y-coordinates will remain same but x-coordinates will change..
In third quadrant x-coordinates are negative and in fourth positive, while y coordinates are negative in both third and fourth quadrant. So if we will reflect from third to fourth or fourth to third quadrant y-coordinates will remain same but x-coordinates will change.
Therefore, from above explanation we can conclude that when we reflect over the y-axis, sign of the x-coordinate changes.
Given that diameter of the base of the cylinder = 8 ft
Given that height of the cylinder = 6 ft
We have to find the surface area of the cylinder in terms of pi.
So we need to use formula of surface area of the cylinder which is

where h= height = 6
r= radius = diameter/2 = 8/2 = 4
Now plug these values into above formula




Hence final answer is
square ft
Answer:
252m^3
Step-by-step explanation:
A solid having a triangular base is what we call a triangular prism. For every prism, its volume is always equal to the area of its base times its height. In other words:
V = AxH
V - volume
A- area
H - height of prism
We know that:
h = 4 m (side of base)
b = 14 (other base side)
A = bh/2 = 14x4/2 = 28 m^2
And then: V = A x H = 28 x 9 = 252 m^3
Answer:
minimum and value of 4
Step-by-step explanation:

When
we will be able to get the critical points.


The graph is a quadratic graph with a 'U' shape, thus it has a minimum critical point.
Answer:
12.57 yards
Step-by-step explanation:
The circumference of a circle is denoted by:
, where d is the diameter.
Here, we are given the diameter, so d = 4.
Now, plug this into the equation:

≈ 12.57
The circumference is about 12.57 yards.
Hope this helps!