Answer: electricity can be used to create magnetism
Step-by-step explanation:
I believe it is the first one but I might be wrong.
Answer:
102 tickets
Step-by-step explanation:
Let's say the total number of tickets sold is n.
7n = 2142
n = 2142 ÷ 7
n = 306
They sold 306 tickets in total.
We want to know how much they sold per night. We know they sold the same number of tickets each night for three nights.
306 ÷ 3 = 102
Therefore, they sold 102 tickets each night.
I hope this helps :)
Answer:
(x - 5)² = 41
Step-by-step explanation:
* Lets revise the completing square form
- the form x² ± bx + c is a completing square if it can be put in the form
(x ± h)² , where b = 2h and c = h²
# The completing square is x² ± bx + c = (x ± h)²
# Remember c must be positive because it is = h²
* Lets use this form to solve the problem
∵ x² - 10x = 16
- Lets equate 2h by -10
∵ 2h = -10 ⇒ divide both sides by 2
∴ h = -5
∴ h² = (-5)² = 25
∵ c = h²
∴ c = 25
- The completing square is x² - 10x + 25
∵ The equation is x² - 10x = 16
- We will add 25 and subtract 25 to the equation to make the
completing square without change the terms of the equation
∴ x² - 10x + 25 - 25 = 16
∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides
∴ (x² - 10x + 25) = 41
* Use the rule of the completing square above
- Let (x² - 10x + 25) = (x - 5)²
∴ (x - 5)² = 41
