Which statements prove that a quadrilateral is a parallelogram?
2 answers:
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The question is incomplete. Here is the complete question:
The height of a wooden pole, h, is equal to 15 feet. A taut wire is stretched from a point on the ground to the top of the pole. The distance from the base of the pole to this point on the ground, b. is equal to 8 feet. What is the length of the wire?
Answer:
Length of wire = 17 feet
Step-by-step explanation:
Given:
The height of the wooden pole is,
The distance from the base of the pole to this point on the ground is,
Let the length of the wire be 'l'.
Now, consider the triangle formed by the pole, the base, and the wire. The length of the wire is the slant length and hence the hypotenuse of the triangle.
Using Pythagorean theorem, we can find the hypotenuse.
Plug in the given values and solve for 'l'. This gives,
As length can never be negative, we ignore the negative result.
Therefore, the length of the wire is 17 feet.
The function has a maximum at (1, 3).
_____
You know it is not a minimum because the coefficient of the squared term is negative.
You know the vertex is (1, 3) because you match the pattern to
.. y = a(x -h)^2 +k
which has its vertex at (h, k).
_____
You know it is not a minimum because the coefficient of the squared term is negative.
You know the vertex is (1, 3) because you match the pattern to
.. y = a(x -h)^2 +k
which has its vertex at (h, k).