## heathernelly 2 years ago How far apart are the foci of an ellipse with a major axis of 26 feet and a minor axis of 24 feet?

1. begzat

a^2+b^2=c^2

2. heathernelly

do i just put the numbers into the equation? :/ these are the answer choices:4 feet 5 feet 10 feet 20 feet

3. begzat

If the major axis is 26, then 2a is 26 and a is 13. If the minor axis is 24, then 2b is 24 and b is 12. Use the values of a and b to calculate c

4. begzat

do you know the Pythagorean triples or no

5. heathernelly

hmm no i don't

6. heathernelly

what do you mean 2a? a? 2b?

7. begzat

The distance between the focal points is 2a=26 and 2b=24

8. begzat

so plug here a^2+b^2=c^2

9. siddarth95

The length of the major axis is 2a and that of the minor axis is 2b like @begzat said. Find the eccentricity of the ellipse sing \[e ^{2}= 1 - b ^{2}/a ^{2}\] [when a>b] .. the distance between the focii is 2ae

10. siddarth95

using*

11. heathernelly

thanks :)
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "http://openstudy.com/updates/5138c24ce4b01c4790d0a0ef", "fetch_time": 1444394135000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2015-40/segments/1443737929054.69/warc/CC-MAIN-20151001221849-00031-ip-10-137-6-227.ec2.internal.warc.gz", "warc_record_offset": 239977558, "warc_record_length": 10700, "token_count": 340, "char_count": 951, "score": 3.71875, "int_score": 4, "crawl": "CC-MAIN-2015-40", "snapshot_type": "longest", "language": "en", "language_score": 0.8401587009429932, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00057-of-00064.parquet"}