Given
we have
Squaring both sides, we have
And finally
Note that, when we square both sides, we have to assume that
because we're assuming that this fraction equals a square root, which is positive.
So, if that fraction is positive you'll actually have roots: choose
and you'll have
Which is a valid solution. If, instead, the fraction is negative, you'll have extraneous roots: choose
and you'll have
Squaring both sides (and here's the mistake!!) you'd have
which is not a solution for the equation, if we plug it in we have
Which is clearly false
Hi how was you day hope it was good mine was good bye
Answer:
Option A
Step-by-step explanation:
We have y < 2x - 4 and y > 2x + 1.
=> 2x - 4 > 2x + 1
=> -4 > 1
Since this inequality is false for all real values of x, there is no solution for the system of inequalities.
The volume of a cylinder changes when you adjust the height or radius as the volume either increases or reduces.
<h3>How to illustrate the volume?</h3>
Let's assume that the height and radius are 14cm and 7cm. The volume will be:
= πr²h
= 3.14 × 7² × 14
= 2154.04cm³
When the radius and height are reduced to 5cm and 9cm, the volume will be:
= πr²h
= 3.14 × 5² × 9
= 706.5cm³
This illustrates that the volume reduces when the height and radius reduces.
Learn more about volume on:
brainly.com/question/1972490
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