12
Remember to use PEMDAS when solving these problems. You multiply before you work with addition and subtraction.
Answer:
It's A.
Step-by-step explanation:
The length of the major axis is a + b where a and b are the distances from each focus to any point on the ellipse.
Answer:
n=4
Step-by-step explanation:
Given equation: \[\frac{1}{n-4}-\frac{2}{n}=\frac{3}{4-n}\]
Simplifying the Left Hand Side of the equation by taking the LCM of the denominator terms:
\[\frac{n}{n*(n-4)}-\frac{2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]
=> \[\frac{n - 2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]
=> \[\frac{n - 2n + 8}{n*(n-4)}=\frac{3}{4-n}\]
=> \[\frac{8 - n}{n*(n-4)}=\frac{3}{4-n}\]
=> \[(8-n)*(4-n) =n*(n-4)*3\]
=> \[n-8 =3n\]
=> \[2n =8\]
=> n = 4
Answer:
Option B is correct, i.e. The amount of water originally in Wilson's can was 2.5 gallons.
Step-by-step explanation:
Given is the graph of Amount of water (in gallons) v/s Time (in seconds).
It is a linear graph whose general equation is given as follows:-
y=mx+b.
Where y = Amount of water, x = Time, m = slope, b = y-intercept (when time is zero).
Finding slope of line, m = (2.3 - 2.5)/(1 - 0) = -0.2 gallons per second.
Finding y-intercept of line, b = 2.5 gallons (at t=0).
Hence, option B is correct, i.e. The amount of water originally in Wilson's can was 2.5 gallons.