help with a project! medals(:
Find at least three examples of conic sections in the real world (marketing, architecture, nature, etc.). Make sure your collage demonstrates at least two of the conic categories you have learned. You may use circles, ellipses, parabolas, or hyperbolas. Arrange your images on paper or in a document.
@jim_thompson5910
this ones a good one right?
and this?
@jim_thompson5910 youre my only hope!!
@phi
@cwrw238
@mathmale
you've found an ellipse and a hyperbola so far, so good
oops not hyperbola, parabola (jumped the gun too quickly lol)
Find pictures in magazines or that you can print out online showing parabolas, ellipses (or circles), or hyperbolas and glue them onto paper (or print them onto a document). Planetary orbits can be ellipses. The path of water shooting out of a fountain and falling back to the pool below can be a parabola; a lot of bridge designs involve parabolas. Hyperbolas may be seen in sundials. Try looking in your math book for some specific applications, too. It may even have some sample problems that show how to figure out the standard form equation for some object in real life
yay! ill find one more(: one sec
good? @jim_thompson5910
pretty much a circle, so that works
For an ellipse, you could use the shadow of a sphere (maybe a ball.) For a parabola, you could use a satellite dish.
yay so this is the last part
Respond to each of the following prompts in a word processing document. Write a brief description about one of the conics from your collage. Write the equation that represents your conic in its standard form. To do this either find the measurements of your conic example to create the equation or guess the measurements of the conic.
I will write about the circle, the first part i know but im confused about the equation
any ideas anyone?
Write the equation that represents your conic in its standard form Here are some of them http://hotmath.com/hotmath_help/topics/conic-sections-and-standard-forms-of-equations.html
so i would be using (x – h)2 + (y – k)2 = r2 right?
yes, but I would use ^ to show exponents (x – h)^2 + (y – k)^2 = r^2 and define what h, k and r mean: (h,k) is the center of the circle, and r is the radius
and those are basically guesses right? cause it isnt an exact measurement
so i could use (9,11) and 5 as the radius
The center is completely arbitrary since you can easily shift the conic around the coordinate grid (and it won't change the conic's shape)
As for the radius, you just measure from the center to any point on the circle
the center depends on where we put graph. You can just say you put the origin of the graph at the center of the circle, and use (0,0) as the center. also, the radius (in the real world) needs units (e.g. inches or feet or meters or cm) so you have to specify the units.
So i can put (0,0) and 5 inches for the units? and im done?
yes, but it looks like the radius is more than 5 inches. At least 1 foot for the radius
okay thanks(:
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