Answer:
-3c
Step-by-step explanation:
The given expression is:
We need to simplify this expression. The rational expression in the denominator can be multiplied to numerator by taking its reciprocal as shown below:
Thus, the given expression in simplified form is equal to -3c
Answer:
Ratio 1 = a(240
=b)120
=c)360
Ratio 2=a)400
=b)320
Step-by-step explanation:
On both of the ratios you first add them then divide one by one like this for example 2+1+3= 6
then 2/6 ÷720 = 120 ×2 =240 then you do this to the other numbers as well.
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
