<h3>Answer: Approximately 6.4 units</h3>
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Explanation:
The origin is the point (0,0)
Use the distance formula to find the distance from (0, 0) to (4, -5)
Let

be our two points. Plug those values into the distance formula below and use a calculator to compute

The distance between the two points (0,0) and (4,-5) is approximately 6.4 units.
Answer:
See below ~
Step-by-step explanation:
<u>Question 1</u>
- (2 + 3i) + (3 - 4i)
- <u>5 - i</u>
<u>Question 2</u>
- (3 – 5i) – (–2 – i)
- 3 - 5i + 2 + i
- <u>5 - 4i</u>
<u>Question 3</u>
- (2 − 4i)(1+ 3i)
- 2 - 4i + 6i - 12i²
- <u>14 + 2i</u>
<u>Question 4</u>
- 2i(-1 + 3i)
- -2i + 6i²
- <u>-6 - 2i</u>
Answer:

Minimum 200 people other than the 2 charity representatives.
Step-by-step explanation:
Given that:
The venue can hold a maximum of 500 people.
Cost of venue = $1000
Per person cost for food = $20
Two charity representatives get to attend the dinner for free.
To find:
The inequality and to determine how many people must come to keep costs at most $25.
Solution:
Let the number of people attending the dinner = 
Cost of food for
people = 
Total cost = $1000 + 
Cost per person = Total cost divided by Number of people attending the dinner.
As per question statement:

Therefore, the answer is:
Minimum 200 people other than the 2 charity representatives should attend the dinner.
Answer:
h = — 10.071
Step-by-step explanation:
Look at the picture for my work.