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.
Tap for more steps...
13
(
−
3
−
2
i
)
−
3
⋅
−
3
−
3
(
−
2
i
)
+
2
i
⋅
−
3
+
2
i
(
−
2
i
)
Simplify.
Tap for more steps...
13
(
−
3
−
2
i
)
9
−
4
i
2
Simplify each term.
Tap for more steps...
13
(
−
3
−
2
i
)
9
+
4
Reduce the expression by cancelling the common factors.
Tap for more steps...
−
3
−
2
i
Answer:
C,20%
Step-by-step explanation:
First we are told that she has 3 hours to grade 35 student papers ,and she has 30 minutes to grade 5 paper, now we calculate how long it took her to grade 1 paper.
Part1
if 5papers = 30minutes
therefore 1paper = (30*1)/5 = 6mins per paper.
now we are left with 2hrs 30mins(150 mins) to grade 30papers
Part2
if 30papers = 150minutes
therefore 1paper = (150*1)/30 = 5mins per paper.
to calculate how fast she has to be in relation to the first part
we substract :
(6mins- 5mins)/ 5mins *100 =1/5 * 100 = 20%.
The answer would be D. because the point-slope formula is y-y1=m(x-x1). Since both of the numbers in the point are positive the equation will be the same. You will just substitute the numbers into the equation making it answer D.
