Which statement about the function is true?

Simplify 13 over the quantity of negative 3 plus 2i.

QveST [7]

13

−

3

+

2

i

Multiply by

−

3

−

2

i

−

3

−

2

i

to make the denominator of

13

−

3

+

2

i

real.

13

−

3

+

2

i

−

3

−

2

i

−

3

−

2

i

Combine.

13

(

−

3

−

2

i

)

(

−

3

+

2

i

)

(

−

3

−

2

i

)

Expand

(

−

3

+

2

i

)

(

−

3

−

2

i

)

using the FOIL Method.

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13

(

−

3

−

2

i

)

−

3

⋅

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3

−

3

(

−

2

i

)

+

2

i

⋅

−

3

+

2

i

(

−

2

i

)

Simplify.

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13

(

−

3

−

2

i

)

9

−

4

i

2

Simplify each term.

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13

(

−

3

−

2

i

)

9

+

4

Reduce the expression by cancelling the common factors.

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−

3

−

2

i

7 0

2 years ago

Arrange the 9 digits in three arithmetic sums. Using three of the four operations of addition, subtraction, multiplication, or d

aleksklad [387]

Answer:

i. 5 + 4 = 9

ii. 2 x 3 = 6

iii. 8 - 7 = 1

Step-by-step explanation:

Given: The basic arithmetic operations: addition, subtraction, multiplication or division.

Digits from 1 - 9

Using three arithmetic operations - addition, subtraction, multiplication, and the given digits, the following three expressions can be formed:

i. 5 + 4 = 9

ii. 2 x 3 = 6

iii. 8 - 7 = 1

It can be observed that there is no repetition of digits in the above expressions as required.

7 0

2 years ago

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis

Tju [1.3M]

The equations representing the circle having a diameter of 12 units and a center lying on y-axis are x² + (y – 3)² = 36, and x² + (y + 8)² = 36, making options 1, and 5 the two choices.

In the question, we are looking for the equations of the circle having a diameter of 12 units and a center lying on y-axis.

The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.

A circle having a diameter of 12 units, will have a radius of 12/2 = 6 units. Thus, r = 6.

A circle having the center on the y-axis will have a center as (0, k) as all points on the y-axis have x-coordinate 0.

Thus, the equation of the circle, with a diameter of 12 units and the center lying on the y-axis takes the form:

x² + (y - k)² = 6², or, x² + (y - k)² = 36.

From the given options, the equations x² + (y – 3)² = 36, and x² + (y + 8)² = 36, are of this form.

Thus, the equations representing the circle having a diameter of 12 units and a center lying on y-axis are x² + (y – 3)² = 36, and x² + (y + 8)² = 36, making options 1, and 5 the two choices.

Learn more about equations of circle at

brainly.com/question/16039879

#SPJ4

The provided question is incomplete. The complete question is:

"Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

x² + (y – 3)² = 36
x² + (y – 5)² = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x² + (y + 8)² = 36."

8 0

1 year ago

Juniors and seniors at a local school were surveyed to see if they were left-handed or right-handed. The data is displayed in th

Novosadov [1.4K]

P(left handed senior) = 14/(36 + 14 + 44 + 106) = 14/200 = 0.07 = 7%

8 0

3 years ago

When a teacher in a private school points out to her high school principal that since there are empty seats in all classrooms, t

Minchanka [31]

Answer:

The answer is "Principal of marginal analysis".

Step-by-step explanation:

To determine unless the benefits of even an aggressive resource would outweigh its costs, and therefore increase utility, individuals and businesses can use a valuation model to compare the risks versus the benefits of more activities, like whether to create or consuming more. It's the amount during which net value is greater than or equal to marginal cost that's the optimal quantity in this situation. The amount where the marginal social cost curve and consumer surplus line connect.

5 0

3 years ago