Which table represents a linear function?
2 answers:
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Answer:
Step-by-step explanation:
The volume V of the fountain is equal to:
V = L*W*h
Where L is the lenght of the fountain, W is the width of the fountain and h is the high of the fountain
We already know that h is equal to x. On the other hand, if we cut a square with side of length x, L and W are calculated as:
L = 18 - 2x
W = 12 - 2x
So, replacing L, W and h on the equation of the volume, we get:
V = (18-2x)*(12-2x)*x
Finally, simplifying the function we get:
The triangle is an isosceles triangle and the four triangles are similar
<h3>How to determine the triangle type?</h3>
The coordinates are given as:
A (0, 0), B (5, 0), and C (2, 4).
Calculate the distance between the coordinates using:
So, we have:
The above shows that two sides are congruent.
Hence, the triangle is an isosceles triangle
<h3>The midpoints of the sides</h3>This is calculated using:
(x, y) = 0.5 * (x1 + x2, y1 + y2)
So, we have:
AB = 0.5 * (0 + 5, 0 + 0) = (2.5, 0)
AC = 0.5 * (0 + 2, 0 + 4) = (1, 2)
BC = 0.5 * (5 + 2, 0 + 4) = (3.5, 2)
From the attached graph, we can see that the triangles are similar
Read more about similar triangles at:
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