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:
a) Distributive Property of Multiplication, b) Prioritizing the multiplication, c) Solving the Parentheses first and Reordering the expression d) Grouping the numbers that cancel each other
Step-by-step explanation:
On these expressions below, we have some ways to proceed with this resolution.
a) Distributive Property on Multiplication made possible the distribution of factor -2 (line 1)
b) Prioritizing the multiplication on line 1. By following the PEMDA acronym.
Parentheses, Exponents, Multiplication, Division, Adition.
c) Solve the Parentheses first and Reorder the expression
d) Grouping the numbers that cancel each other
Answer: D
Step-by-step explanation:
I substituted in the value of x (2) to see if it gave me the value of y (1) because that’s the point it gave on g(x).
The only equation that worked was D.
1/2*2=1 then 1^2=1
-4.08 is greater than -4.7 since its negative
ex: -1 is greater than -2 since -1 is closer to zero than -2
Triangular Prism.
Hope this helped :)
