Equation of an ellipse
→having center (0,0) , vertex (
and covertex 
and focus 
is given by:
As definition of an ellipse is that locus of all the points in a plane such that it's distance from two fixed points called focii remains constant.
Consider two points (a,0) and (-a,0) on Horizontal axis of an ellipse:
Distance from (a,0) to (c,0) is = a-c = 
Distance from (-a,0) to (c,0) is = a + c = 
a -c + a +c
= a + a
= 2 a →(Option A )
Answer:
B and D
(The ratio of cats to birds is greater than the ratio of ferrets to birds; The ratio of ferrets to cats is less than the ratio of dogs to cats)
hope this helps :)
Rise and run: -2/4
Slope: -1/2
Answer:
12 - 3 y ÷ 2 + y( 2 y - 4 ÷ y ) = 21.51.
Step-by-step explanation:
Here, the given expression is:
12 - 3 y ÷ 2 + y( 2 y - 4 ÷ y )
Now, we need to evaluate the given expression for y = 3
12 - 3 y ÷ 2 + y( 2 y - 4 ÷ y ) by the rule of BODMAS
12 - 3 y ÷ 2 + y( 2 y - 4 ÷ y ) = 12 - 3(3) ÷ 2 + 3(2(3) -4 ÷ 3)
= 12 - 9 ÷ 2 + 3( 6 - 4 ÷ 3)
= 12 - <u>9</u><u> ÷ 2</u> + 3( 6 - <u>4 ÷ </u><u>3</u>)
= 12 - <u>4.5</u> + 3( 6 - <u>1.33</u>)
= 7.5 + 3(4.67)
= 7.5 + 14.01
= 21.51
So, 12 - 3 y ÷ 2 + y( 2 y - 4 ÷ y ) for y = 3 is 21.51.
Answer:
Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.
Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.
Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
Step-by-step explanation:
