Answer:
volume = x(x+2)(2x+1) = 2x^3+5x^2+2x
a = 2
b = 3
c = 5
d = 2
e = 2
f = 1
Answer:
- The total Minutes of the Inside tasks.-F (Fish)
- The total Minutes of the Outside tasks.-G+D (Garden and Dog)
- The total Minutes of the tasks involving animals.-D+F (Dog and fish)
- The total Minutes of the tasks not involving animals.-G (Garden
Step-by-step explanation:
D is the number of minutes it takes to walk his dog
G is the number of minutes it takes to water the garden
F is the number of minutes it takes to feed his fish.
We are required to match these situations to their respective expressions:
<u>Situation</u>
- The total Minutes of the Inside tasks.
- The total Minutes of the Outside tasks.
- The total Minutes of the tasks involving animals.
- The total Minutes of the tasks not involving animals.
<u>Expression</u>
<u>Match:</u>
- The total Minutes of the Inside tasks.-F (Fish)
- The total Minutes of the Outside tasks.-G+D (Garden and Dog)
- The total Minutes of the tasks involving animals.-D+F (Dog and fish)
- The total Minutes of the tasks not involving animals.-G (Garden)
<u />
Answer: a) 
+ 
= 1
b) The distance of two foci is 85.4 feet
c) Area = 3502.67 square feet
Step-by-step explanation: a) An ellipse has the equation in the form of:
+
= 1, where a is the horizontal axis and b is the vertical axis.
For the Statuary Hall, a = 
= 48.5 and b = 
= 23, so the equation will be
+ = 1.
b) To determine the distance of the foci, we have to calculate 2c, where c is the distance between one focus and the center of the ellipse. To find c, as a, b and c create a triangle with a as hypotenuse:
= 
c = 
c = 42.7
The distance is 2c, so 2·42.7 = 85.4 feet.
The two foci are 85.4 feet apart.
c)The area of an ellipse is given by:
A = a.b.π
A = 48.5 · 23 · 3.14
A = 3502.67 ft²
The area of the floor room is 3502.67ft².
Should be 18x^4-12x.
Let me know if you want more of an explanation.
