The volume of a rectangular prism is width×length×width. With the given volume of 24 you could find 2 ways with different sets of numbers that multiply into 24.
Oliver's= 6, 2, 2
Layla, 3, 2, 4
Vertex: (2,1)
axis of symmetry: (0,2)
direction of opening: up
not sure what optimal value is.
y-intercept: (0,5)
not sure what the step pattern is.
The coordinates of the pre-image of point F' is (-2, 4)
<h3>How to determine the coordinates of the pre-image of point F'?</h3>
On the given graph, the location of point F' is given as:
F' = (4, -2)
The rule of reflection is given as
Reflection across line y = x
Mathematically, this is represented as
(x, y) = (y, x)
So, we have
F = (-2, 4)
Hence, the coordinates of the pre-image of point F' is (-2, 4)
Read more about transformation at:
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<h2>Greetings!</h2>
Answer:
≅ 586.8
Step-by-step explanation:
Take x to be the width, if the length is 5x bigger than the width, then this can be shown by 5x.
The total perimeter is:
(2 * x) + (2 * 5x) because each side has another parallel one.
This means that 2x + 10x = 130
12x = 130
Divide both sides by 12:

x = 
So the area = length * width
x * 5x = area
Substitute the values in:
= 586.8055... ≅ 586.8
So the approximate area is 586.8
<h2>Hope this helps!</h2>
The composite function as shown is 
<h3>Composite functions</h3>
Given the following fnctions

The composite function g(f(x)) is expressed as:

Hence the composite function as shown is 
Learn more on composite function here: brainly.com/question/10687170