Find the equation for parabola Focus(3,4) Directrix y=2

Mathematics

2 answers:

masha68 [24]3 years ago

6 0

Answer: Should be x-3^2=4(y-3)

Step-by-step explanation:

sveta [45]3 years ago

4 0

Answer:

Step-by-step explanation:

we know that distance d from the focus to P should be the same to the distance from P to the directrix

(x-h)^2=4p(y-k)

we need to find the y coordinate,

x is the same from focus, 3

y=(3, (4+2)/2)=(3,3)

we find p now by subtracting the y from the focus from the y that we just found

p=4-3=1

again (x-h)^2=4p(y-k), p=1

(x-3)^2=4(1)(y-3)

(x-3)^2=4(y-3), (x-3)^2=4y-12

simplify

4y=(x-3)^2+12

y=((x-3)^2)/4 + 3

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Keith does work for his neighbors. When he earns $12 an hour. When he works indoors he earns $8 an hour. Last month he did 18 ho

Bogdan [553]

Answer: he earned $344 in all.

Step-by-step explanation:

When he does work outdoors he earns $12 an hour. This means that if he works outdoors for x hours, he would earn $12x

When he works indoors he earns $8 an hour. This means that if he works indoors for y hours, he would earn $8y.

Last month he worked 18 hours outdoors. This means that the total amount that he earned working outdoors is

12 × 18 = $216

He worked 16 hours indoors. This means that the total amount that he earned working indoors is

8 × 16 = $128

Total amount that he earned is

216 + 128 = $344

5 0

3 years ago

What’s the definition of input and output?

Vika [28.1K]

Input is the same as the x-term and output is the same as the y-term.

For example, take a look at the image provided with thee table.

Looking at the first box of our table, notice that if we subtract 5 from 1, we get -4 and if we subtract 5 from 2 we get -3 and if we subtract 5 from 3, we get -2. Notice that in each case, we're subtracting 5 from the input to get the output.

I attached a table so you can practice if you'd like to. All you have to do is subtract 5 from each input and you will end up with the output. The first few are done for you. I also provided an answer key in the next image so you can check your work.

The last one might be a little trick. In the input, we have n which is a variable that represents any number. If we want to find the nth term, we simply subtract 5. So we have n - 5.

First image is practice if you'd like and the second is the key.

If you don't want to do it, no worries.