Are 12/16 and 6/9 equivalent? Explain your answer.
1 answer:
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Answer:
A polynomial together with the absolute value function can make a pretty good model (see the attachment)
Step-by-step explanation:
With a sufficient number of specified points, a polynomial can make a pretty good model of almost any smooth function. Here, the function's derivative is undefined at a couple of points, so there are some options for those. If the slopes match on either side of those zeros, then the absolute value function can be used to model the "reflection" at the x-axis. Otherwise, a piecewise description can be used.
The left portion of the curve looks a little like a sine wave, but a cubic or other polynomial can model that wave fairly well. The portion to the right of the maximum looks like a bouncing ball, so can be modeled by a piecewise quadratic function.
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<em>Comment on the graph</em>
The attached graph is of a 9th-degree polynomial model. Points were added until the model almost matched the curve. If additional points are defined, a higher-degree model may give a better fit. The "bounce" is modeled by the absolute value function.
Given => PQ = 9 unit
PR = 7 unit
QR = 8 unit
To find => Area of triangle PQR
We can find area of triangle by Heron's Formula.
Where,
s = (9+7+8)/3
= 24/3
= 8
and,
a = 9
b = 7
c = 8
Heron's Formula =
=
=
=
=
Area of triangle = 2i√2 units
Hope this helps!
PR = 7 unit
QR = 8 unit
To find => Area of triangle PQR
We can find area of triangle by Heron's Formula.
Where,
s = (9+7+8)/3
= 24/3
= 8
and,
a = 9
b = 7
c = 8
Heron's Formula =
=
=
=
=
Area of triangle = 2i√2 units
Hope this helps!