Answer:
a(n) = 1(2.5)^(n - 1)
Step-by-step explanation:
The geometric sequence is 1, 2.5, 6.25, 15.625, and so on; the first term is 1. The common ratio is 2.5; each new term is 2.5 times the previous term.
The explicit formula desired is thus a(n) = 1(2.5)^(n - 1)
We know that
the equation of a circle is
(x-h+(y-k)²=r²
where (k,k)----> is the center
and
r----> is the radius
y²+2x+x²-24y= -120
Group
terms that contain the same variable
(y²-24y)+(x²+2x)=-120
Complete
the square twice. Remember to balance the equation by adding the same constants
to each side
(y²-24y+144)+(x²+2x+1)=-120+144+1
<span>Rewrite as perfect squares</span>
(y-12)²+(x+1)²=25
(x+1)²+(y-12)²=5²
the answer isthe coordinates of the center are (-1,12)the radius is 5 units
A)
145 - 5d
5d = 145, set equal
29 days to lay all the track
b)
5*19 = 95
145-95 = 50
After 19 days, they have 50 miles to go.
