Triangle ABC is shown below: Triangle ABC is shown. A is at 2, 1. B is at negative 1, 4. C is at 3, 7. If triangle ABC is reflec
ted over the x-axis, which of the following shows the coordinates for point B'?
2 answers:
<h2>Answer</h2>
Coordinates of point B':
B' = (-1, -4)
<h2>Explanation</h2>To reflect a point or a figure across the x-axis we use the rule:
→
In other words, we multiply the y-coordinate of our points by -1, while leaving the original x-coordinate as it is.
Let's apply the rule to every point of our triangle :
A = (2, 1)
A' = (2, 1*-1) = (2, -1)
B = (-1, 4)
B' = (-1, 4*-1) = (-1, -4)
C = (3, 7)
C' = (3, 7*-1) = (3, -7)
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Answer:
(a)
(b) Domain: <em>(See attachment for graph)</em>
(c)
Step-by-step explanation:
Given
Solving (a): A function; l in terms of w
All we need to do is make l the subject in
Divide through by 2
Subtract w from both sides
Reorder
Solving (b): The graph
In (a), we have:
Since l and w are the dimensions of the fence, they can't be less than 1
So, the domain of the function can be
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To check this
When
When
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<em>See attachment for graph</em>
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Solving (c): Write l as a function
In (a), we have:
Writing l as a function, we have:
Substitute for l in
becomes
