Answer:
Height= 4.5 Volume= 91.125
Step-by-step explanation:
Answer:less than
Step-by-step explanation:
The answer is
.
Solution:
Use algebraic identity: 
For example: 
Given expression
and
.
To multiply these equations.




Combine like terms together.



Hence the answer is
.
Answer:
The endpoints of the latus rectum are
and
.
Step-by-step explanation:
A parabola with vertex at point
and whose axis of symmetry is parallel to the y-axis is defined by the following formula:
(1)
Where:
- Independent variable.
- Dependent variable.
- Distance from vertex to the focus.
,
- Coordinates of the vertex.
The coordinates of the focus are represented by:
(2)
The <em>latus rectum</em> is a line segment parallel to the x-axis which contains the focus. If we know that
,
and
, then the latus rectum is between the following endpoints:
By (2):


By (1):



There are two solutions:




Hence, the endpoints of the latus rectum are
and
.
Answer:
It is increasing before x = -2 and from x = 0 to x = 2
Step-by-step explanation:
Option 1 - you can see the line going down starting at -2 and that means the line is decreasing but the choice says "It is increasing before x = 0". This contradicts the actual graph.
Option 2 - The line isn't increasing before x= -1, it's actually decreasing as seen in the graph.
Option 3 - The line doesn't even touch the point before x = -3 so this choice makes no sense.
Option 4 - Since all the other choices were eliminated this is the only choice standing. Looking at the line it is increasing before x = -2.