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melisa1 [442]
3 years ago
7

Noah started to solve the equation –4.6p – 6.3p + 3.9 = –9.18 below.

Mathematics
1 answer:
sergejj [24]3 years ago
4 0

- 4.6 p - 6.3 p + 3.9 = -9.18

- 10.9 p + 3.9 = - 9.18

- 10.9 p = - 9.18 - 3.9

- 10.9 p = - 13.08

p = ( - 13.08 ) : ( - 10.9 )

Answer:

p = 1.2

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7 0
2 years ago
How do you find the square root of a negative number? Explain the process
IrinaK [193]

Answer:

A. \sqrt{-64} = 8i

B. 8i + 5i = 13i

C.  8i - 5i = 3i

D. 8i x 5i = -40

Step-by-step explanation:

A. The square root of any negative number would lead to a complex number. Complex numbers are number which consist a complex part denoted by i.

-1 = i^{2}

\sqrt{-1} = \sqrt{i^{2} } = i

Example: 1. What is the square root of -64?

square root of -64 = \sqrt{-64}

                         = \sqrt{-1 *64}

                         = \sqrt{-1} x \sqrt{64}

                         = i x 8

                         = 8i

\sqrt{-64} = 8i

2. find the square root of -25.

\sqrt{-25} = \sqrt{-1*25}

          = 5i

B. To add two complex numbers, they are considered as algebraic expressions.

Example, the sum of 8i and 5i can be determined as;

                 8i + 5i = 13i

C. To add two complex numbers, they are considered as algebraic expressions.

Example, the subtraction of 8i and 5i can be determined as;

                 8i - 5i = 3i

D. To multiply two complex numbers, the complex part is considered.

Example, determine the product of 8i and 5i.

8i x 5i = 8 x 5 x i x i

          = 40i^{2}

         = -40                (∵      i^{2} = -1)

8i x 5i = -40

6 0
4 years ago
A rectangular shaped pond is 16 meters long and 14 meters wide. The dimensions of a rectangular shaped lake nearby is 350%
aalyn [17]

Answer: 56 meters long and 49 meters wide

Step-by-step explanation:

Convert 350% to a decimal. 350% is 3.5. Each lenth is 3.5x larger than the original pond.

16*(3.5) =56 meters length

14*(3.5) = 49 meters width

56 meters long and 49 meters wide

4 0
3 years ago
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