Answer:
(1/4, 5 7/8)
Step-by-step explanation:
The vertex is the extreme point of the graph. Here, it is a minimum.
For this quadratic function, a graphing calculator can tell you exactly what the vertex is. (No approximation is required.)
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The graphing calculator in the attachment shows the vertex is ...
(0.25, 5.875) = (1/4, 5 7/8)
53/3
we can't divide this term perfectly because 53 is not 3's double number.
11/12 and 1/8
we only need to look at the denominators which is
12 and 8
12 24 36
8 16 <span> 24
</span>so the LCD is 24
The magnitude of the vector is √(7^2+12^2)=√(49+144)=√193
The direction is α=arctan(y/x)=arctan(12/-7)≈-59.74 however this is relative to the negative x-axis so we add 180° to get the standard angle...180-59.74=120.26°
So the vector is √193 @ 120.26°
