Answer:
Midpoint of a segment in the complex plane with endpoints at 6 -2i and -4 + 6i is:
1+2i
Step-by-step explanation:
The midpoint of a segment in the complex plane with endpoints at 6 -2i and -4 + 6i is:
Hence, midpoint of a segment in the complex plane with endpoints at 6 -2i and -4 + 6i is:
1+2i
Answer:
= 96
Step-by-step explanation:
The n th term of a geometric sequence is
= a
where a is the first term and r the common ratio.
Both values have to be found.
Using
a₂ = - 144, then
ar = - 144 → (1)
a₅ = 486, then
a = 486 → (2)
Divide (2) by (1)
=
r³ = - 3.375 ( take the cube root of both sides )
r = - 1.5
Substitute r = - 1.5 into (1)
- 1.5a = - 144 ( divide both sides by - 1.5 )
a = 96
Hence explicit formula is
= 96
ANSWER
The missing term is 42.
EXPLANATION.
We want to find the missing term of the equivalent ratio. 90:15=_____:7
Let y be the missing term, then
90:15=y:7
We rewrite as fractions to get;
Simplify the left ratio:
Cross multiply:
Therefore the missing term is 42.