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.
39 is A
40 is D
And that is my answer
Answer:
Ok, first in our series we can see two numbers in the Sigma, one bellow 0, and other above, 4.
This means that the value of k will go from 0 to 4, then all the numbers in the sum are:
(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4
So we have 5 terms in our series.
b) to see the sign in each term, we must solve the powers, remember that:
(-1)^n is -1 if n is odd, and is equal to 1 if n is even, so we have:
(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4
= 1 -1/2 + 1/4 - 1/8 + 1/16.
So the sign in each term of the series alternates.
Answer:
m < - 6
Step-by-step explanation:
Given
m + 2 < - 4 ( subtract 2 from both sides )
m < - 6
Answer:
1.5 ≤ 3.75x
Step-by-step explanation:
Given that:
Distance, D to jog is atleast 1.5 miles
D ≥ 1.5 miles
x = number of hours to jog
Jog rate = 3.75 mph
Actual distance covered if jog last for X hours
Actual Distance = speed * time
Actual Distance = 3.75 * x = 3.75x
Hence,
D ≤ Actual distance
1.5 ≤ 3.75x
