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
She used 29.8 feet of fencing for the fence -> The circumference of the circular garden is 29.8ft
Formula for circumference : 2πr
So, the radius is equal to : 29.8 : 2 : π = 4.74281730414... (round to 4.7)
Recheck : 4.7 x 2π = 29.5309709437... (close to 29.8)
Answer:
4
Step-by-step explanation:
16^1/2 = sqrt(16) = 4
4*4 = 16
Answer:
$ 3.75
Step-by-step explanation:
1/2 · $7.5 given
0.5 · $7.5 make 1/2 as decimal
$ 3.75 answer
Answer:
see below
Step-by-step explanation:
yes it matters, if you don't know how to write a repeating decimal as a fraction you can use this trick
let's say we don't know what it is
0.33333333...
so we see that there's only one repeating digit
so the answer is
(the repeating digit)/(9)=3/9
and that simplyfies to 1/3
let's try another one
0.67676767...
as you can see know the repeating is 67
so the answer is
(the thing that repeats)/(99)=67/99
do you see a pattern?
when we have a number x of repeating decimals
the denominator of the fraction (the thing that's down) is 9999..99 in there must be x 9's
let me explain
if you have 3 repeating decimals
the denominator will be 999
you see 3 nines
and so on.