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kap26 [50]
3 years ago
12

Classify each pair of labeled angles as complementary, supplementary, or neither.

Mathematics
1 answer:
VMariaS [17]3 years ago
6 0

A: Complementary (sum is 90)

B: Neither

C: Neither

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Negative numbers five and nine
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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
Line A is represented by the equation given below:
Simora [160]

Answer:

3

Step-by-step explanation:

2x + 2y = 4

dividing both sides by 2,we get

x + y = 4,which is the same line A

so this set of equations has infinitely many solutions as they intersect each other at infinite points i.e they overlap eachother

8 0
3 years ago
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