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Marrrta [24]
3 years ago
7

Simplify 9i(2+3i)

Mathematics
2 answers:
Basile [38]3 years ago
8 0

Answer:

9i(2+3i) = -27+18i

Step-by-step explanation:

Distribute to get → 9i·2+9i(3i)

Multiply 2 and 9 → 18i+9i(3i)

Simplify → 18i+27i²

Simplify → 18i-27

Reorder → -27+18i

viktelen [127]3 years ago
3 0
Simplify 9i(2+3i):
9i×2=18i
9i×3i=27i

18i+27i
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So the perimeter(P) of a rectangle would be:
P= 2L+2W
L being the length and W being the width.
The problem says the length is 4cm more than the width, so L= 4+W.
So if we substitute L with 4+W, we get:
P= 2(4+W) + 2W
Use the Distributive Property
P= 8+2W+2W
Combine like terms
P=8+4W
Since we're given the perimeter, we could replace P with 52. So:
52=8+4W
Subtract 8 to both sides
44=4W
Divide 4 to both sides
11=W
Therefore, the width is 11cm
And since the length is 4cm more than the width, we could add 4cm to 11cm to find that the length is 15cm
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