Answer:
Option (i)
Step-by-step explanation:
{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.
2/3 x 1/5 = 2/15 that is the answer
Answer:
The equation has two solutions for x:
<u>x₁ = (8 + 10i)/2</u>
<u>x₂ = (8 - 10i)/2</u>
Step-by-step explanation:
Let's use the quadratic formula for solving for x in the equation:
X^2 - 8X + 41= 0
x² - 8x + 41 = 0
Let's recall that the quadratic formula is:
x = -b +/- (√b² - 4ac)/2a
Replacing with the real values, we have:
x = 8 +/- (√-8² - 4 * 1 * 41)/2 * 1
x = 8 +/- (√64 - 164)/2
x = 8 +/- (√-100)/2
x = 8 +/- (√-1 *100)/2
Let's recall that √-1 = i
x = 8 +/- 10i/2
<u>x₁ = (8 + 10i)/2</u>
<u>x₂ = (8 - 10i)/2</u>
Answer: 
Step-by-step explanation:
1. To find the equation asked, you must add the times:
Where 
is the time takes Lilly in her path to work and 
is the time takes Lilly in her path to home.
2. You must use the following formula of speed and solve for the time
Where n is the distance, V is the speed and t is the time.
3. You know that Lilly takes a train each day to work that averages 35 miles per hour, then, you can write the following expression:
4. And her train ride follows the same path at 45 miles per hour:
5. Then, you obtain the following equation:
