Answer:
10
Step-by-step explanation:
(-1 - 3i)(-1 + 3i) = 1 - 3i + 3i -9i²
1 - 9i²; i² = -1, therefore 1 - 9(-1) = 1 + 9 = 10
Answer:

Step-by-step explanation:
Given


Required
Represent the additional time needed as an inequality
Convert the previous time to minutes




Let the additional time be t
<em>This means that she needs to run at least t minutes to beat her previous record</em>
<em />
To beat her previous record, the sum of current time and x must be less than her previous time. i.e.

This can be rewritten as:

Answer:
i can
Step-by-step explanation:
Answer:
n = 5
Step-by-step explanation:
100,000 = 10^n
Take the log of both sides
log 100,000 = log 10^n
log 100,000 = n * log 10
Dividing both sides by log 10
log 100,000 / log 10 = n * log 10 / log 10
n = log 100,000 / log 10
= 5 / 1
n = 5