Answer:
e. 3
f. (2x-3)(2x+3)
Step-by-step explanation:
e. 1+2=3
f. (2x)²-(3)² {a²-b²}=(a-b)(a+b)
(2x-3)(2x+3)
Radical 105. Pythagorean theorem
Enter 105
Answer:
m=2
Step-by-step explanation:
(−2,−3);(3,7)
(x1,y1)=(−2,−3)
(x2,y2)=(3,7)
Use the slope formula:
m=y2−y1/x2−x1
=7 − −3/3 − −2
=10/5
=2
Graph:
(-2,-3) is blue
(3,7) is red
Answer:
k = 10
Step-by-step explanation:
The sum of k terms of a geometric sequence with first term a1 and common ratio r is given by ...
... Sk = a1·(1 -r^k)/(1 -r)
For the given numbers, this is ...
... 118096 = 78732·(1 -(1/3)^k)/(1 -1/3)
Manipulating this to get the term containing k, we have
... 1 -(2/3)(118096/78732) = (1/3)^k
... 1/59049 = (1/3)^k
Taking logarithms, we get
... -log(59049) = -k·log(3)
... log(59049)/log(3) = k = 10
