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3 years ago

Which of the following options best represents the modulus of the fifth roots of √5 + 2i?

Mathematics

1 answer:

LenaWriter [7]3 years ago

8 0

Answer:

Answer 3

Step-by-step explanation:

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Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4). What is the y-coordinate of the midpoint of line segment YZ?

tatiyna

Given:

Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).

To find:

The y-coordinate of the midpoint of line segment YZ.

Solution:

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

The endpoints of the line segment YZ are Y(-3,-6) and Z(7,4). So, the midpoint of YZ is:

$Midpoint=\left(\dfrac{-3+7}{2},\dfrac{-6+4}{2}\right)$

$Midpoint=\left(\dfrac{4}{2},\dfrac{-2}{2}\right)$

$Midpoint=\left(2,-1\right)$

Therefore, the y-coordinate of the midpoint of line segment YZ is -1.

8 0

3 years ago

The job Andrew has this summer paid 7.25 an hour and the job he had last Summer paid 6.50 an hour. how much more does Andrew ear

vladimir2022 [97]

Answer:

30 Dollars more

Step-by-step explanation:

This summer he earned = 7.25 X 40 = 290

Last summer he earned = 6.5 X 40 = 260

How much more he earned in 40 hours = 290-260= 30 dollars more

Answer from Gauthmath

4 0

3 years ago

Take Quiz

allsm [11]

0.6g=54

Explanation is in image hope this helps

8 0

2 years ago

There are only blue cubes, yellow cubes and green cubes in a bag. There are twice as many blue cubes as yellow cubes and seven t

Step2247 [10]

Answer:

1/17

Step-by-step explanation:

If there is 1 yellow cube, then there are 2 blue cubes and 14 green cubes, for a total of 17 cubes. So the probability of a yellow cube is 1/17.

6 0

3 years ago

For which system of inequalities is (3,-7) a solution? A. x + y < -4 3x + 2y < -5 B. x + y ≤ -4 3x + 2y < -5 C. x + y &

Roman55 [17]

Answer:

The correct option is;

D x + y ≤ -4, 3·x + 2·y ≤-5

Step-by-step explanation:

A. For the system of inequality, x + y < -4, 3·x + 2·y <-5

We have;

y < -4 - x, When x = 3, y < -7

y < -2.5 - 1.5·x, When x = 3, y = -7

B. For the system of inequality, x + y ≤ -4, 3·x + 2·y <-5

We have;

y ≤ -4 - x, When x = 3, y ≤ -7

y < -2.5 - 1.5·x, When x = 3, y < -7

C. For the system of inequality, x + y < -4, 3·x + 2·y ≤-5

We have;

y < -4 - x, When x = 3, y < -7

y ≤ -2.5 - 1.5·x, When x = 3, y ≤ -7

D. For the system of inequality, x + y ≤ -4, 3·x + 2·y ≤-5

We have;

y ≤ -4 - x, When x = 3, y ≤ -7

y ≤ -2.5 - 1.5·x, When x = 3, y ≤ -7

Therefore, the system of inequality for which (3, -7) is a solution is D, x + y ≤ -4, 3·x + 2·y ≤-5.

5 0

3 years ago