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.
Answer: No
Step-by-step explanation:
Rachael getting a head every time she tosses a coin ten times is unlikely.
Theoretically, there will be some head and tails during the toss of the coin. Theoretically, there should be 5 heads after ten tosses of the coin.
To get exactly 10 heads during the tosses of coin, Rachel would need a larger trial to get a more accurate data.
Answer:
y= 2x - 11
Step-by-step explanation:
(-7 +1 )/ (2-5) = 2
y= 2x +b
-1 = 2* 5 + b
solve for b and you get -11 so the equation of the line is :
y = 2x -11
To translate 5 units left, add 5 to every x
to move up 10 units, add 10 to whole equaiotn example
y=2x+2
move left 5
y=2(x+5)+2
move up 10
y=2(x+5)+2+10
