A transformation of the plane is an isometry if, for all points X and Y, the distance between the image points X' and Y' equals the distance between X and Y. In other words, an isometry is a transformation which preserves distance
Answer:
<em>No values of x can make f(x)=6</em>
Step-by-step explanation:
Equation with Absolute Value
The absolute value of a number is always positive. That condition must be met when solving equations. Any condition that goes against the rule, must be discarded and not part of the solution.
The function provided in the question is:

We need to find the value(s) of x that make:
f(x)=6
It needs to solve the equation:

Subtracting 1:

Dividing by -0.5:

We reach to this equation to solve:

As stated above, the absolute value is always positive, and the equation forces the absolute value to be negative. There is no possible value of x that makes the absolute value negative, thus:
No values of x can make f(x)=6
Answer:
It is 25
Step-by-step explanation:
Answer:the answer is 3 and -1
Step-by-step explanation:
X=3
And
X=-1
The equivalent equation of the quadratic equation (x² – 1)² – 11(x² – 1) + 24 = 0 is u² - 11² + 24 = 0
<h3>How to determine the equivalent equation?</h3>
The equation is given as:
(x² – 1)² – 11(x² – 1) + 24 = 0
Let u = x² - 1
So, we have:
u² - 11² + 24 = 0
Hence, the equivalent equation of the quadratic equation (x² – 1)² – 11(x² – 1) + 24 = 0 is u² - 11² + 24 = 0
Read more about quadratic equation at:
brainly.com/question/8649555
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