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andrew11 [14]
4 years ago
6

What is the distance between (2,9) & (1,5)?​

Mathematics
1 answer:
Slav-nsk [51]4 years ago
8 0

Answer:

(1,4)

Step-by-step explanation:

take 2 minus 1 then nine minus 5

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3(x-2)-1=2-5(x+5) find the value for x and show all steps
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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

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4 years ago
Which of the following represents the characteristics of the graph of x ≥ -9 1.) closed circle on -9 and shaded to the left 2.)
Harrizon [31]

Answer:

Closed circle on -9 and shaded to he right

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