13
−
3
+
2
i
Multiply by
−
3
−
2
i
−
3
−
2
i
to make the denominator of
13
−
3
+
2
i
real.
13
−
3
+
2
i
−
3
−
2
i
−
3
−
2
i
Combine.
13
(
−
3
−
2
i
)
(
−
3
+
2
i
)
(
−
3
−
2
i
)
Expand
(
−
3
+
2
i
)
(
−
3
−
2
i
)
using the FOIL Method.
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13
(
−
3
−
2
i
)
−
3
⋅
−
3
−
3
(
−
2
i
)
+
2
i
⋅
−
3
+
2
i
(
−
2
i
)
Simplify.
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13
(
−
3
−
2
i
)
9
−
4
i
2
Simplify each term.
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13
(
−
3
−
2
i
)
9
+
4
Reduce the expression by cancelling the common factors.
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−
3
−
2
i
The area of a circle is A = r^2pi
Since the area is equal to 121pi the equation would be, 121pi = r^2. To find r in terms of pi take the square root of 121, to find the radius. Then multiply that by two to get the diameter.
Answer:
180,000 m
Step-by-step explanation:
There are 60 seconds in a minute, so:
2 min × 60 s/min = 120 s
Distance = rate × time
d = 1500 m/s × 120 s
d = 180,000 m
<u>Answer:</u>
5 hours was Aaron at the sitter
<u>Explanation:
</u>
Cost of baby sitting for the first hour: 10
Cost of baby sitting for additional hour= 12
Total cost of babysitting= 58
Since the cost of first hour is 10
Hence the remaining cost after first hour
= 54-10
=48
Which means 1 hour is consumed in the first hour
Now to calculate the remaining hours for every additional hour
= 
=4 hours
Hence the total hour Aaron was with the sitter
= 1 hour + 4 hours
= 5 hours
