Answer:
2cm
Step-by-step explanation:
AB= 1cm
AC= 90°
OB= 180°
OB= 2cm
To find OA= 2 divide 2
= 1cm
AB+OA= 2CM
Answer: X=-3
Step-by-step explanation:


So the paraboloid is given by

which holds for

, i.e. when

and

.
To make sure this is correct, plug in

and

to find out the value of

, and see if these points are on the paraboloid.




Both of these hold, so the answer is correct.
Answer: 
Step-by-step explanation:
1. You know that:
- The roped-off area whose width is represented with <em>x,</em> it is created around a rectangular museum.
- The dimensions of the rectangular museum are: 30 ft by 10 ft.
- The combined area of the display and the roped-off area is 800 ft².
2. The area of the rectangular museum can be calculated with:

Where
is the lenght and
is the width.
You have that the lenght and the width in feet are:

3. Let's call
the width of the roped-off area. Then, the combined area is:

Where



4. Substitute values and simplify. Then:


Answer: -4
Step-by-step explanation: Notice that the increments in the graph do not go in 1's, but in 2's. Meaning the first line is 2, and second line is 4, and in the middle is 3. Be careful.
The range is where the line on the graph hits the y-axis (horizontal line, or line going up). The only possible place the line hits the y-axis is at -4. No other y-value. Thus, the range of the function is -4.