Consider the equation y = (x + 2)^2 – 3. What is the length of the focal width of the parabola?
2 answers:
Answer:
The length of the focal width of the parabola is 1.
Step-by-step explanation:
Suppose we have a parabola with the following equation:
The centre is at point .
The length of the focal width is of |4p|.
In this question:
We want to place in the general format. So
Comparing, we have that 4p = 1. So the length of the focal width of the parabola is 1.
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Answer:
54 m
Step-by-step explanation:
Alrighty, what have we here: an area of 162 m² and a width of 9m.
So: A=162m², W=9m, let's draw this: (see the screenshot attached)
Using the formula for area (Area = width x length) we see that:
Thus: (equating to L by dividing both sides by 9m)
⇒
Now we have all of our dimensions, we can use the formula for the perimeter to calculate it:
And there we have our answer.
