Answer:
EK = 8
Step-by-step explanation:
Intersecting Chords Formula: a • b = c • d
BK * KD = EK * KC
4 * 10 = (x+1) * (x-2)
40 = x^2 +x-2x-2
40 = x^2 -x -2
0 = x^2 - x-2-40
0 = x^2 -x -42
Factor
0 = (x-7) (x+6)
Using the zero product property
x-7 = 0 x+6 =0
x=7 x=-6
X is not negative
x=7
EK = x+1
EK = 7+1
EK = 8
Katie won't have more than 100 shells until the 7th day.
Answer:
5
Step-by-step explanation:
it can be found in two ways
f(n)-f(n-1) is common difference of the sequence.
knowing f(n) = f(n-1) + 5
f(n)-f(n-1)=5
so 5 is difference of the sequence.
other method is
f(1)=4
f(2)=?
f(n)=f(n-1)+5 n=2
f(2)=f(2-1)+5
f(2)=f(1)+5
f(2)=4+5=9
f(2)-f(1)=9-4=5
so 5 is difference of the sequence.
1/3 is not a terminating decimal but it is a recurring decimal.