Given:
The equation of ellipse is
To find:
The length of the minor axis.
Solution:
The standard form of an ellipse is
...(i)
where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.
We have,
...(ii)
On comparing (i) and (ii), we get
Taking square root on both sides.
Consider only positive value of b because length cannot be negative.
Now,
Length of minor axis = 
= 
= 
So, the length of minor axis is 8 units.
Therefore, the correct option is B.
Answer:
The ratios are not equivalent
Step-by-step explanation:
First, in order to find the ratios, we have to change the month to the amount of days.
There are 30 days in April, so we will use this for the ratio.
The ratio for the 3 day weekend is 5:3
The ratio for the month of April is 60:30, which can be simplified to 2:1
So, the ratios are not equivalent, because 5:3 is not equal to 2:1
Answer:
No solutions
Step-by-step explanation:
Solve for x the system of two inequalities:
First, solve each inequality separately:
1.
2.
Now, we get
and
There are no common values for x, for which both inequalities hold, so the system of two inequalities has no solutions.
Answer:
Arithmetic
Step-by-step explanation:
Answer: A. 1 pound of cabbage will cost 40 cents. B. (10,4) means that 10 pounds of cabbage will cost 4 dollars.
Step-by-step explanation:
If it is proportional that means the y value divided by the x value will give you a constant slope.
So using that use the coordinates (5,2) to find the cost of 1 pound of cabbage.
2/5 = 0.4
so you could write the equation y= 0.4x where x is the number of pound.
Part A: y= 0.4(1)
y= $0.40 which means one pound of cabbage will cost 40 cents.
Part B. (10,4) in this case it will means that for 10 pounds of cabbage it will cost $4.
Plot it into the equation and find out
in the coordinates (10,4) 4 is the y and 10 is the x
4= 0.4(10)
4= 4
Which means it true that 10 pounds of cabbage will cost 4 dollars.
