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Grace [21]
3 years ago
13

If the magnitude of vector z is ||z|| ≈ 6.40 and its angle of direction is approximately 38.66°, which graph represents vector -

z?

Mathematics
2 answers:
liubo4ka [24]3 years ago
7 0

graph C represents - z

z = (6.40, 38.66°) which is in the first quadrant

- z is in the opposite direction to z and in fourth quadrant.

Both graphs, however, are in the fourth quadrant

consider the magnitudes of both complex numbers to determine which graph is the correct one

Graph C has endpoint at (- 5, - 4 ), hence

magnitude = √((- 5)² + (- 4)²) = √(25 + 16) = √41 ≈ 6.4

Graph D has endpoints (- 3, - 6), hence

magnitude = √((- 3)² + (- 6)²) = √(9 + 36) = √45 ≈ 6.7





s2008m [1.1K]3 years ago
3 0

Answer: (c)

The vector in the graph (c) has a magnitude of about

|z|=\sqrt{(-5)^2+(-4)^2}=\sqrt{41}\approx6.40

and the angle slightly less than 45 degrees from the x-axis as can be judged from the fact that it crosses the first box just below the point (-2,-2). This is the main distinction between (c) and (a) which is also similar in magnitude, however has an angle that is just larger than 45 degrees.

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Find the next three sequence of 1,3, 9, 27,<br>​
Andreyy89

Answer: 81, 243, 729

Step-by-step explanation:

<u>STEP ONE: Find a pattern in the sequence</u>

3 ÷ 1 = 3

9 ÷ 3 = 3

27 ÷ 9 = 3

As we can see from the given sequence, each number multiplies 3 to get the next term.

<u>STEP TWO: Find the next three terms</u>

27 × 3 = 81

81 × 3 = 243

243 × 3 = 729

Hope this helps!! :)

Please let me know if you have any questions

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2 years ago
What is the population standard deviation of this data set?*
Minchanka [31]

Answer:

C)  2

Step-by-step explanation:

step 1:  Find mean of data set

2+4+4+5+7+8 = 30

30/6 = 5

Mean = 5

step 2: subtract each data value from the mean and square it

5-2 = 3;   3² = 9

5-4 = 1;   1² = 1

5-4 = 1;   1² = 1

5-5 = 0;   0² = 0

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5-8 = -3;   (-3²) = 9

Add the squared results:

9+1+1+0+4+9 = 24

Divide 24 by 6 to get the Variance of 4

Take the square root of the Variance to get the Standard Deviation

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5 0
2 years ago
How do I find the slope, domain, range and y intercept of y=-2x
Natasha2012 [34]

Slope is defined as the rate of change, in this case the change in y with respect to x. In standard form for a binomial linear equation, y = mx + b. The constants m and b are the slope and intercept, respectively. For your equation, the slope is -2 and the intercept is 0. The domain (possible values of x) for this graph is (-∞, ∞) and the range (possible values of y) is also (-∞, ∞).

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The first equation works.

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2 years ago
Write an inequality that represents the graph.
Anika [276]

Answer:

y - 2x - 1 = 0

Step-by-step explanation:

the slope is :

\tan( \alpha )  = 4  \div 2 = 2

at a pt on graph , when

x = 1 \\ y = 3 \\

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The equation is :

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