Answer:
y = - 2(x - 1)² + 18
Step-by-step explanation:
- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms
= - 2(x² - 2x) + 16
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 2x
= - 2(x² + 2(- 1)x + 1 - 1) + 16
= - 2(x - 1)² + 2 + 16
= - 2(x - 1)² + 18 ← in vertex form
Answer:
x = 4 is the solution
Step-by-step explanation:
given = x ( square both sides )
x + 12 = x² ( rearrange into standard form )
x² - x - 12 = 0 ← in standard form
(x - 4 )(x + 3 ) = 0 ← in factored form
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 3 = 0 ⇒ x = - 3
Insert these values into the original equation, and if both sides are equal, and those are the solutions.
x = 4 : = = 4 = x ← correct
x = - 3 : = = 3 ≠ - 3 ← false
the answer is x = 4
Answer:
SAS
Step-by-step explanation: Which stands for Side-Angle-Side.
Answer:
The system of equations are 
and 
Step-by-step explanation:
Given : There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club.
To find : Write a system of linear equations that represents the situation.
Solution :
Let x represent the number of students in the drama club
and y represent the number of students in the yearbook club.
There are a total of 64 students in a drama club and a yearbook club.
i.e. ....(1)
The drama club has 10 more students than the yearbook club.
i.e. ....(2)
Substitute the value of (2) in (1),
Substitute in (2),
Therefore, the system of equations are and
9 h +2 < - 79
9 h < - 79 - 2
9 h < -81
h < - 81 / 9
h < - 9
hope this helps!.
