Answer: (x^2)/25 + (16y^2)/375) = 1
Step-by-step explanation:
since foci are symetrically located on x-axis about origin, the equation of the ellipse must be of the following form:
(x^2)/(a^2) + (y^2)/(b^2) = 1, where a = semi-major axis, and b = semi-minor axis,
and: e = eccentricity = sqrt(a^2 - b^2)/a = 0.25; foci located at (+/- sqrt(a^2 - b^2),0) = (+/- 1.25,0)
---> sqrt(a^2 - b^2) = 1.25 ---> 1.25/a = 0.25 ---> a = 1.25/0.25 ---> a = 5; and sqrt(a^2 - b^2) = 1.25 = 5/4
---> a^2 - b^2 = (5/4)^2 = 25/16; or 5^2 - b^2 = 25/16 ---> 25 - b^2 = 25/16;
---> b^2 = 25 - (25/16) = 25[1 - 1/16] = 25(15)/16 = 375/16
---> (x^2)/25 + (y^2)/(375/16) = 1 ---> (x^2)/25 + (16y^2)/375) = 1
Hope this help...and correct it's been awhile..Let me know
Answer:
x = -1.6
Step-by-step explanation:
.5x - 3 = 3x + 6 - 5
.5x - 3 = 3x +1
-2.5x = 4
x = -1.6
Um I assume you're wanting the circumferences of the fences so we have 3 that are all the same size and one that is 3 times as large as any of the others
so here's our equations
3x+y=113.04
y=3x
use substitution
3x+3x=113.04
6x= 113.04
now the question says use 3.14 so I'm thinking you want the answer in terms of pi so first divide 113.04 by 3.14
6x=36pi
x=6pi now substitute that back in for x in one of your equations
y=(3)(6pi)
y=18pi
so the tomatoes carrots and cabbage will all have a circumference of 6pi and the strawberries 18pi
Answer:
X = 34
Step-by-step explanation:
3x+44+x=180
4x+44=180
4x=136
x=34
hope this helps! :)
Answer:
75
Step-by-step explanation:
mode is the most occurring number
