(3 - 2i)(3 + 2i) . Its form is (a - b)(a + b) = a² - b²
( a = 3 and b = 2i)
(3)² - (2i)²
= 9 - (4i²) , but 1² = -1
= 9 - (-4) = 9+4 = 13
So (3-2i)(3+2i) = 13
Answer:
Geography.
Step-by-step explanation:
Geographers use many tools in their work. Maps, globes, photos, satellite images, and models are all tools that geographers might use. Geographers who study ancient Egypt might want to know how the people used the Nile River. For example, the Nile is known to flood. Geographers might study how people dealt with flooding. They might also want to know if or how they used floods to help them.
<em>Not owned by me. </em>
Answer:
see explanation
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
(1)
Given a₁ = 5 and a₄ = , then
5 + 3d = ( subtract 5 from both sides )
3d = - ( divide both sides by 3 )
d = -
add - to each term
5, , ,
(2)
Given a₁ = - 4 and a₆ = 6, then
- 4 + 5d = 6 ( add 4 to both sides )
5d = 10 ( divide both sides by 5 )
d = 2
Add 2 to each term
- 4, -2, 0, 2, 4, 6
(3)
Given a₂ = 38 and a₆ = - 22, then
a₁ + d = 38 → (1)
a₁ + 5d = - 22 → (2)
Subtract (1) from (2) term by term
4d = - 60 ( divide both sides by 4 )
d = - 15
Substitute d = - 15 into (1)
a₁ - 15 = 38 ( add 15 to both sides )
a₁ = 53
Thus
53, 38, 8, - 7, - 22
Answer: A: 1524 miles B: Average is 508 mph
Step-by-step explanation: Add the miles on the picture to get the total amount of miles traveled (1524) and then divide by 3 hours to get 508 mph.
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The advance tickets were 35 in number and the same day ticket will be 30 in number.
<h3>What will be the number of tickets?</h3>
To find out the number of the tickets sold we will give some notations so the notations are as follows:-
A= Cost of advance tickets=$30
S= cost of same-day ticket-=15
Number of the advance tickets
Number of same-day tickets.
The equations made by the given data will be:-
By solving the above equations:-
Hence the advance tickets were 35 in number and the same day ticket will be 30 in number.
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