Answer:
a = -0.3575
Step-by-step explanation:
The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.
The points A and B are located where
This gives
Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e
Thus the coordinates of B are:
Now this point B lies on the parabola, and therefore it must satisfy the equation 
Thus
Therefore
Answer: 8
Step-by-step explanation:
We are going from a smaller triangle to a larger triangle, so the scale factor is greater than 1.
We know scale factor = (image)/(preimage), so the scale factor is 32/4 = 8
Answer:
The correct answer is the last choice. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
Step-by-step explanation:
In the first segment of the trip, the car goes from 0 to 2 hours and the line is moving up. Therefore, it traveled for 2 hours.
In the second segment, the line went straight horizontal for 1 hour. That means the distance didn't change, in other words, it didn't move.
In the last segment, it moved up again for 2 hours.
Answer:
+ 12
Step-by-step explanation:
8 - (- 4) = 8 + 4 = 12
V = 1,005.7 rounded off to one decimal place
Because:
Volume of a cylinder = πr²h
V = 22/7 x 4 x 4 x 20
V = 1,005.7
