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klemol [59]
3 years ago
11

Please help. Simplify the expression using imaginary numbers. 2 √ -16 + √ -9

Mathematics
2 answers:
Elanso [62]3 years ago
6 0

Since, by definition, i^2=-1, we deduce that \sqrt{-1}=i

So, we have

2\sqrt{-16}+\sqrt{-9}=2\sqrt{-1\cdot 16}+\sqrt{-1\cdot 9}=2+\sqrt{-1}\sqrt{16}+\sqrt{-1}\sqrt{9}=2\cdot i\cdot 4+3i=8i+3i=11i

Flura [38]3 years ago
6 0

Answer:

11i

Step-by-step explanation:

These roots are imaginary, but let's make it so that i=the square root of -1. simplify the two roots to get 4i and 2i. Multiply the 4i by 2 to get 8i. add them together to get 11i

TL;DR

2x4i+3i

8i+3i

11i

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5 0
2 years ago
Rewrite in simplest terms: (-x+8y)+(-10x-6y)(−x+8y)+(−10x−6y)
Nina [5.8K]

Answer:

10x² - 48y² - 11x + 2y - 74xy

Step-by-step explanation:

(-x+8y)+(-10x-6y)(−x+8y)+(−10x−6y)

Rearranging,

=> - x - 10 x + 8y - 6y + (-10x-6y)(−x+8y)

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7 0
3 years ago
The area of a playground is 204 yd^2 the width of thr playground is 5 yd longer that its length what the length and the width of
morpeh [17]
W= width= L+5
L= length
Area= 204

Area= LW
204 square yards= LW
substitute w=L+5 for w
204= (L)(L+5)
204= L^2 + 5L
subtract 204 from both sides
0= L^2 + 5L - 204
factor
0= (L+17)(L-12)

0= L+17
-17= L

0= L-12
12 yards= L


WIDTH
Since the area cannot be a negative number, we'll use L=12 to find the width.

w=L+5
w=12+5
w=17 yards


CHECK:
204=(12)(17)
204=204


ANSWER: The length is 12 yards and the width is 17 yards.

Hope this helps! :)
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Answer:

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