The model (x+a)(x-a) will represents the factors of 4x²-9 as (2x+3)(2x-3).
<h3>What are the quadratic equations in one variable completing the squares method?</h3>
The "completing the squares" method aims to construct a quadratic equation of the form where the x variable is entirely covered by a single squared term, which is the square of a linear expression in x, as the name suggests.
The quadratic equation can resemble this:
x²-a² = (x+a)(x-a)
Given equation;
⇒4x²-9
⇒(2x)²-3²
The equation can be modeled as;
(2x+3)(2x-3)
Hence the model (x+a)(x-b) will represents the factors of 4x²-9 as (2x+3)(2x-3).
To learn more about completing the squares method refer to:
brainly.com/question/16800259
#SPJ1
Answer:
Acceleration=3
Step-by-step explanation:
Formula for solving acceleration: F = ma
8N=24
N=24/8
N=3
I think this is correct :)
The correct answer is C. Goodluck
<h3>
Answer: Choice A) <9,0></h3>
Explanation:
Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)
Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule 
. We've added 9 to the x coordinate, and the y coordinate stays the same.
This notation can be shortened to <9, 0>
In general, the notation 
is shortened to the translation vector notation 
. In this case, a = 9 and b = 0.
Let
In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:
So, the base case is ok. Now, we need to assume 
and prove 
.
states that
Since we're assuming , we can substitute the sum of the first n terms with their expression:
Which terminates the proof, since we showed that
as required
