Answer:
C
Step-by-step explanation:
x² - 6x + 13 = 0
x² - 2(x)(3) + 3² - 3² + 13 = 0
(x - 3)² = -4
Slope = -1/4
(4, 7)
y - 7 = -1/4 (x - 4)
y - 7 = -1/4x + 1
y = -1/4 + 8
answer is C
Use the distributive property backwards.
xp+yp=z become p(x+y)=x, which solves to p=x/(x+y)
Th term of an arithmetic sequence:
We have to find the difference (d)
an=a₁+(n-1)d
Data:
a₁=-7
a₁₈=95
95=-7+(18-1)d
95+7=17d
17d=102
d=102/17
d=6
Now, we can calculate the 35 th term of an arithmetic sequence:
a₃₅=-7+(35-1)*6
a₃₅=-7+34*6
a₃₅=-7+204
a₃₅=197
Answer: the 35th term of this arithmetic sequence is 197. (a₃₅=197)
