Answer:
(10*5) - 2(pi(2.5)^2)
Step-by-step explanation:
First we find the area of the rectangle. This is (10*5) since the diameter of the circles is 5 (half of 10) which means that the width of the rectangle is 5, and that the length is 10.
We then find the area of the two circles. One circle can be found using the radius (2.5)(half of the diameter, 5). This gives us pi(2.5)^2 for one circle. We multiply this by two to account for both circles. Then we subtract that from the area of the rectangle to find out how much the area of the plastic is.
This gives us (10*5) - 2(pi(2.5)^2)
The answer to this is x=3/16
Answer:
Folow the steps to learn what transformations were determined.
Step-by-step explanation:
First we would have to graph the parent function which is f(x) = x^2. Start by finding your x and y values. Find the y values by plugging in the x values into the parent function.
X Y
2 4
1 1
0 0
-1 1
-2 4
Once these points are plotted you can start determining what are the transformations. Find the difference between the parent function and f(x) = (x + 4)^2 + 2 by looking below.
Vertical Shifts:
f(x) + c moves up,
f(x) - c moves down.
Horizontal Shifts:
f(x + c) moves left,
f(x - c) moves right.
The parent function has to be transformed left 4 and up 2. In order to do this shift each point from earlier left 4 and then up 2. In conclusion you will have two functions graphed (parent function and the transformed function).
Answer:
y = 3x + 5
Step-by-step explanation:
The slope of this line is (11 - (-4)) / (2 - (-3))
= 15/5 = 3
Now we use the point slope form of an equation:-
y - y1 = m(x - x1)
y - 11 = 3(x - 2)
y - 11 = 3x - 6
y = 3x + 5 (answer)