Two points, (-2,4) and (2,4), are plotted on a coordinate grid.
1 answer:
You might be interested in
We need to find the direction the ball is moving, so wee have this parametric equation, namely:
Note that this parametric equation is an ellipse. The graph of this equation is given in figure below. So, we well substitute some values of t in the equation:
If t = 0
x = 4 and y = 3
P0(4, 3)
if t = 1
x = 3.08 and y = 5.52
P1(3.08, 5.52)
if t = 2
x = 1.16 and y = 5.72
P2(1.16, 5.72)
Finally, as shown in the figure, the answer is B. counterclockwise. Notice the trajectory that follows P0, P1 and P2.
Note that this parametric equation is an ellipse. The graph of this equation is given in figure below. So, we well substitute some values of t in the equation:
If t = 0
x = 4 and y = 3
P0(4, 3)
if t = 1
x = 3.08 and y = 5.52
P1(3.08, 5.52)
if t = 2
x = 1.16 and y = 5.72
P2(1.16, 5.72)
Finally, as shown in the figure, the answer is B. counterclockwise. Notice the trajectory that follows P0, P1 and P2.
The volume of a cuboid is = length × width × height.
Let the width of Olivia's lunch box be 'x'.
Hence the length of Olivia's lunch box shall be 'x + 2'
Also the height of the box is given as 3 inches.
The volume of the box is 240 in³
Substituting in the formula we get
Dividing by 3 on both sides
Exapnding we get
Subtracting 80 from both sides
Factoring
We get
x= -10 or x = 8
But x cannot be negative
So x = 8
Hence the width of the box is 8 inches.