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valkas [14]
3 years ago
11

Heidi hikes two trails, the Big Trapezoid and the Little Trapezoid. The shorter base of the Big Trapezoid is 2 mi long, while th

e longer base is 8 mi. The longer base of the Little Trapezoid is 4 mi long. The trails are similar shapes.
What is the length of the shorter base of the Little Trapezoid trail?
Mathematics
1 answer:
Ivenika [448]3 years ago
8 0
If the shapes are similar and the smaller trapezoid's long base is half of the big trapezoid's long base than that means that the small trapezoid's short base would be half of the big trapezoid's short base.

Answer: The Little Trapezoid's shorter base is 1 mi long.

I hope this helps.
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This gives f(x) = 1\sqrt{x-2}+0 which is the same as  f(x) = \sqrt{x-2}

==========================================================

Explanation:

The general template for a square root function is

y = a\sqrt{x-h}+k

where,

  • 'a' handles the vertical stretching/compressing of the graph
  • h determines the horizontal shifting
  • k determines the vertical shifting

The graph has not been scaled vertically. In other words, it has not been vertically stretched or vertically compressed. So the value of 'a' is equal to 1.

The value of h is 2 since the graph has been shifted 2 units to the right. If we wanted to go left, then h would be negative.

The value of k is 0 because there is no vertical shifting going on.

In summary,

a = 1, h = 2, k = 0

Leading

y = a\sqrt{x-h}+k

to turn into

y = 1\sqrt{x-2}+0

which simplifies to

y = \sqrt{x-2}

The Pythagorean theorem is not used in this problem.

7 0
3 years ago
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6 0
3 years ago
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