Using translation concepts, the graph of g(x) = -|x - 4| is shown at the end of the answer.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The graph of g(x) = -|x - 4| is the graph of f(x) = |x| with these following changes:
- Reflection over the x-axis.
At the end of the answer, the graph shows functions f(x) in red and g(x) in blue.
More can be learned about translation concepts at brainly.com/question/4521517
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First you have to figure that it sounds confusing but. What you have to do is that 171 is 189 LESS than from one place to another. So just do : 189-171= 18. And then you know 18.
4ft = 48 inches
12ft = 144 inches
48 inches + 5 inches = 53 inches
144 inches + 3 inches = 147 inches
147 inches - 53 inches = 94 inches
The answer is 94 inches
Answer:
(x, y) = (7, 4) meters
Step-by-step explanation:
The area of the floor without the removal is x^2, so with the smaller square removed, it is x^2 -y^2.
The perimeter of the floor is the sum of all side lengths, so is 4x +2y.
The given dimensions tell us ...
x^2 -y^2 = 33
4x +2y = 36
From the latter equation, we can write an expression for y:
y = 18 -2x
Substituting this into the first equation gives ...
x^2 -(18 -2x)^2 = 33
x^2 -(324 -72x +4x^2) = 33
3x^2 -72x + 357 = 0 . . . . write in standard form
3(x -7)(x -17) = 0 . . . . . factor
Solutions to this equation are x=7 and x=17. However, for y > 0, we must have x < 9.
y = 18 -2(7) = 4
The floor dimension x is 7 meters; the inset dimension y is 4 meters.
