Explain how to find the coordinates of the focus of a parabola with vertex (0,0) and the directrix y=5
1 answer:
Keep in mind that, the directrix is "p" distance units away from the vertex, and the focus point is also "p" distance units from the vertex but in the opposite direction, so in short the vertex is half-way between both of them.
in this case the vertex is at the origin, and the directrix 5 units above it, so that means the parabola is vertical and opening downwards, like the one in the picture below, and the focus point is 5 units the other way.
in this case the vertex is at the origin, and the directrix 5 units above it, so that means the parabola is vertical and opening downwards, like the one in the picture below, and the focus point is 5 units the other way.
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Answer:
Part a) The area of the swimming pool is
Part b) The total area of the swimming pool and the playground is
Step-by-step explanation:
Part a) Find the area of the swimming pool
we know that
The area of the swimming pool is
where
L is the length side
W is the width side
we have
substitute the values
therefore
The area of the swimming pool is
Part b) The area of the playground is one and a half times that of the swimming pool. Find the total area of the swimming pool and the playground
we know that
To obtain the area of the playground multiply the area of the swimming pool by one and a half
To obtain the total area of the swimming pool and the playground, adds the area of the swimming pool and the area of the playground
so
therefore
The total area of the swimming pool and the playground is
Answer:
First equation is -425
Second equation is 11.25
Step-by-step explanation:
First equation we can write as
computing
When i=0 ->
When i=1 ->
...
When i=7 ->
then replacing each term we have
For the second equation we'll have 9 terms, solving in a similar fashion
When i=1 ->
When i=2 ->
When i=3 ->
...
When i=9 ->
So we have 0.25 + 0.50 + 0.75 + 1.00 + 1.25 + 1.50+ 1.75 +2.00 +2.25