![hahHcjckk](/avatars/1310.jpg)
hahHcjckk
29.07.2019 •
Mathematics
Derive the equation of the parabola with a focus at (0, –4) and a directrix of y = 4. (2 points) a f(x) = –16x2 b f(x) = – x2 c f(x) = x2 d f(x) = 16x2
Solved
Show answers
More tips
- F Family and Home How to Properly Fold Napkins in a Napkin Holder?...
- A Auto and Moto What is the Average Lifespan of an Engine in a Car?...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- C Computers and Internet How to Choose an Uninterruptible Power Supply (UPS) for Your Computer: Expert Tips...
- S Science and Technology How to choose a home theater system?...
- A Auto and Moto How to Choose a Car Wash? Tips and Recommendations...
- A Animals and plants How ants survive winter: exploring the secrets of their winter life...
- C Construction and repair How to Choose the Best Underfloor Heating?...
- S Sport When is the Champions League final?...
Answers on questions: Mathematics
- M Mathematics Data were collected as part of a study of coffee consumption among graduate students. The following reflect cups per day consumed, 3,4,6,8,2,1,0,2. a. use the data analysis tool...
- M Mathematics Psych 2220 Imagine that researchers appropriately conduct a paired-samples t test with 25 pairs of related scores. The mean difference between those 25 pairs of scores was 5.00....
- M Mathematics A simple random sample of 76 colleges and universities in states providing incentives not to raise tuition is selected ,and 23 indicated they did not plan to raise tuition while...
- M Mathematics What is 4+5+6+9+4+5+8+7+6+8+8+2+1+5...
- M Mathematics A locksmith claims that his lock can be forced open only 2% of the time, he samples 25 locks he placed during the last 6 months, what is the probability that more than 2.5% of locks...
- M Mathematics Around 50% of live births in the United States are male, the remainder are designated female. However, recent medical studies suggest that of all live births, many individuals do...
- M Mathematics Please help me please...
- M Mathematics After t hours there are P(t) cells present in a culture, where P(t)equals2000e Superscript 0.3 t. (a) How many cells were present initially? (b) Give a differential equation satisfied...
- M Mathematics Given a scatterplot and trend line, which statements are true? Check all that apply. A)The trend line must go through at least one of the data points. B)The trend line should have...
- M Mathematics Given a scatterplot and trend line, which statements are true? Check all that apply. The trend line must go through at least one of the data points. The trend line should have roughly...
Ответ:
Equation of parabola with focus at (0,-4) and directrix is y=4 .
As we know parabola is the locus of all the points such that distance from fixed point on the parabola to fixed line directrix is same.
The parabola is opening downwards.
Let any point on parabola is (x,y).
Distance from focus(0,-4) to (x,y) =![\sqrt{(x-0)^{2} +(y+4) ^{2}}=\sqrt{x^{2}+ (y+4)^{2}}](/tpl/images/0145/1674/0d6bf.png)
Distance from (x,y) to directrix, y=4 is =![\left | y-4 \right |](/tpl/images/0145/1674/d9dc8.png)
As these distances are equal.
→x²+y²+8 y +16 = y² - 8 y+16
→ x² = -8 y - 8 y= -16 y [ Cancelling y² and 16 from L.H.S and R.H.S ]
So , equation of parabola is , x²= - 16 y or f(x)= -x²/16
Ответ:
the like terms are - q and (3/7)q
Step-by-step explanation:
3.6 p minus q minus 4 + StartFraction r over 3 EndFraction + StartFraction 3 over 7 EndFraction q = 3.6p - q- 4 + r/3 + (3/7)q
The like terms are the terms with same letters, alphabet .
For the above expression, the like terms are -q and (3/7)q
All others do not have a like term.