Answer:
Part 11) 
, 
Part 2) 4+3i
Step-by-step explanation:
Part 11) write a recursive rule for the sequence
Let
we know that
----> 
----> 
----> 
This is an arithmetic sequence
In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference (d).
In this problem the common difference is equal to 
therefore
A recursive rule for the sequence is
substitute the value of d
where
Part 12) What is the complex conjugate of 4-3i?
we know that
The <u><em>complex conjugate</em></u> of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign
so
we have that
the real part of the given number is 4 and the the imaginary part is -3i
so
the imaginary part equal in magnitude but opposite in sign is +3i
therefore
the complex conjugate of the given number is equal to
Answer:
The probability that you will choose a consonant and then a vowel is 0.21....
Step-by-step explanation:
Total no of tiles = 28 + 12 = 40
First you should choose a consonant = 12/40
Second you should choose a vowel = 28/40
So the probability you choose a consonant and then a vowel:
= 12/40 * 28/40
=336/1600
=0.21
So the probability that you will choose a consonant and then a vowel is 0.21....
Answer:
=257 9/47
Step-by-step explanation:
Answer:
15cm
Step-by-step explanation:
circumfrince of a circle = pi
Answer:
The answer to your question is y = -11/2x - 19
Step-by-step explanation:
Data
Point (-4, 3)
⊥ to the line x- intercept of 22 and y-intercept of -4.
Process
1.- Find the equation of the perpendicular line
This line has passes through the points (22, 0) and (0, -4)
Slope = 
2.- Find the slope of the new equation
Slope = 
because the lines are perpendicular
3.- Find the equation of the new line
y - 3 = -11/2 (x + 4)
y - 3 = -11/2x - 44/2
y - 3 = -11/2 x - 22
y = -11/2 x - 22 + 3
y = -11/2x - 19
See the graph below
