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Ainat [17]
3 years ago
7

I need to know how to convert z=1+ radian 3i to polar form. I sent a picture of the question :)

Mathematics
1 answer:
Degger [83]3 years ago
8 0
A complex number takes the form
z
=
a
+
b
i
.
In this example,
a
=
0
and
b
=
3
because
z
=
0
+
3
i
.
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What is the y-intercept of the line passing through the point (9,-7) with a<br> slope of -1/8 ?
tensa zangetsu [6.8K]

Answer:

(0, -47/8)

Step-by-step explanation:

sub. in y = mx + b

=> -7 = -1/8(9) + b

=> b = -7 + 9/8

=> b = 9/8 - 56/8

=> b = -47/8

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3 years ago
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3.45g+0.06kg+0.67g+690mg+2dg

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PLEASE ALL YOU NEED TO DO IS MATCH NUMBERS *Drag the tiles to the correct boxes to complete the pairs. Match the algebraic addit
katrin2010 [14]

Answer:

1) A = (3 + 5·i) + (2  - 3·i)

2) A = (-3 + 5·i) + (-2  - 3·i)

3) A = (-3 + 5·i) + (2  + 3·i)

4) A = (3 - 5·i) + (2  + 3·i)

Step-by-step explanation:

1) For the first chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (3 + 5·i) + (2  - 3·i)

2) For the second chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (-3 + 5·i) + (-2  - 3·i)

3) For the third chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (-3 + 5·i) + (2  + 3·i)

4) For the fourth chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (3 - 5·i) + (2  + 3·i)

4 0
3 years ago
A 450-gallon tank full of water is draining at a rate of 20 gallons per minute.
Stels [109]

Answer:

The answer is below

Step-by-step explanation:

A function show the relationship between an independent variable and a dependent variable. The independent variable (input) does not depend on other variables while the dependent variable (output) depend on other variables.

In this question, amount of water in tank is dependent variable and the time taken is the independent variable. Let y represent amount of water in tank and x represent the time it has been draining. Therefore:

a) This can be represented by the equation:

y = 450 -  20x

At 7 minutes (x = 7)

y = 450 - 20(7)

y = 310 gallons

b) For 200 gallons (y = 200), the time taken is:

200 = 450 - 20x

200 - 450 = -20x

-20x = -250

x = -250/-20

x = 12.5 minutes

c) y = 450 - 20x

d) The graph was plotted using geogebra onling graphing calculator.

e) When the tank is empty, y = 0, hence

0 = 450 - 20x

20x = 450

x = 450 / 20

x = 22.5 minutes

6 0
3 years ago
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