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faltersainse [42]
3 years ago
7

The complex number -5i has the complex trigonometric form of 5(cos 270o + isin 270o) Determine if the statement given is true or

false.
Mathematics
2 answers:
RoseWind [281]3 years ago
7 0

Answer:

truue

Step-by-step explanation:

just did the quiz on edg

soldi70 [24.7K]3 years ago
4 0

Answer:

TRUE

Step-by-step explanation:

A complex number is represented as z = x + iy

Given the complex number -5i, this can also be written as;

z = 0-5i

Get the modulus

|z| = √0²+(-5)²

|z| = √25

|z| = 5

Get the argument

theta = arctan(y/x)

theta = arctan(-5/0)

theta = arctan(-∞)

theta = -90degrees

Since tan is negative in the 2nd and fourth quadrant

in the fourth quadrant, theta - 360 - 90

theta = 270 degrees

Express in polar form;

z = |z|(cos theta + i sintheta)

z = 5(cos270°+ison270°)

Hence the statement given is TRUE

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Select the graph of the equation below.<br> y= -1/4x^2+1
V125BC [204]

Answer:

a.

Step-by-step explanation:

Since you have the different parabolas there, the simplest way to determine which one is, is replacing x as 0 and then y as 0

y = -1/4x^2 + 1

When x = 0

y = -1/4 (0)^2 +1 = 1

When y = 0

0 = -1/4x^2 +1

1/4 x^2 = 1

x^2 = 4

x = + 2

x = - 2

The parabola with points:

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3 years ago
Ten percent of number equals 40 what is the number
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A man drove 180 km in 2 hours what was his speed​
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7 0
3 years ago
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A rectangle has an area of 105 square feet. If the sum of the length and the width is 26 feet, find the dimensions. Include unit
Andrei [34K]

L x W = 105

L + W = 26 so L = 26 - W

substitute L = 26 - W into L x W = 105


(26 - W) x W = 105

26W - W^2 = 105

W^2 - 26W + 105 = 0

(W - 21)(W - 5) = 0

W - 21 = 0; W = 21

W - 5 = 0; W = 5


The the dimensions of the rectangle are 5 ft and 21 ft.


Double check:

The sum of the length and the width is 26 feet: 21 + 5 = 26 feet

A rectangle has an area of 105 square feet: 21 x 5 = 105 square feet



8 0
3 years ago
Read 2 more answers
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