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
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Option a is true and others are false
Answer:
Option A) (2.5,-1.3) is correct
The midpoint of the given line segment is M=(2.5,-1.3)
Step-by-step explanation:
Given that the line segment with end points (3.5, 2.2) and (1.5, -4.8)
To find the mid point of these endpoints midpoint formula is 
Let (
) be the point (3.5, 2.2) and (
) be the point (1.5, -4.8)
substituting the points in the formula
Therefore M=(2.5,-1.3)
The midpoint of the given line segment is M=(2.5,-1.3)
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the dimension of the prism is not given. However, the following steps can serve as a guide for you.
The volume of a rectangular prism is calculated as thus:
So, Take for instance
The Volume would be:
Answer:
Step-by-step explanation:
1 mile contains 5280 feet
x mile contains 792 feet Cross Multiply
5280 x = 792 Divide by 5280
x = 792 / 5280
x = 0.15 miles
1 hour = 3600 seconds
Distance travelled in 12 sec = 0.15 miles
3600 sec = x Cross Multiply
12x = 3600 * 0.15 Combine
12x = 540 Divide both sides by 12
12x/12 = 540/12
x = 45 miles / hour
