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
Answer:
291/100
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
If there is a 0 in the equation, it will automatically have the answer as 0.
Answer:
cos y° = b divided by 6
Step-by-step explanation:
Trigonometric ratios :

We are given that sin y° = a divided by 6

On comparing
Perpendicular = a
Hypotenuse = 6

tan y°=a divided by b
On comparing
Perpendicular = a
Base = b
So, 

So, Option d is true
cos y° = b divided by 6
Answer:
1) A week: $151.74
2) A month : $606.96
3) A years : $7890.48
Step-by-step explanation:
Custodian at Movie Theater
pay:$9.95
per hours:
15.25 hours per week
How much do they make in
1) a- week
1 week = 15.25 hours
Hence,
1 hour = $9.95
15.25 hours = x
Cross Multiply
x = 15.25 × $9.95
x = $151.7375
Approximately = $151.74
2) A month
There are 4 weeks in a month
1 week = $151.74
4 weeks = x
Cross Multiply
x = 4 × $151.74
x = $606.96
3) A year
There are 52 weeks in a year
Hence,
1 week = $151.74
52 weeks = x
Cross Multiply
x = 52 × $151.74
x = $7890.48
Therefore, they made in :
1) A week: $151.74
2) A month : $606.96
3) A years : $7890.48