Concepts in complex numbers

What complex number is represented by the graph?

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CCSS.HSN.CN.B.4

11i + 4 is written in _________.

• POLAR FORM

• RECTANGULAR FORM

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CCSS.HSN.CN.B.4

what other names can be given to the point (o,0) in the cube root function? (select all that apply)

• origin

• x intercept

• y intercept

• love

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CCSS.HSN.CN.B.4

Convert the polar coordinates to rectangular form

• ( -3, 3)
• (3, 3√3)
• (-3, 3√3)
• (3, -3√3)

Tags

CCSS.HSN.CN.B.4

Which point is the graph of -3-2i?

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CCSS.HSN.CN.B.4

The coordinate plane is divided by a horizontal number line called what? 

• y-axis
• origin
• x-axis
• quadrant

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CCSS.HSN.CN.B.4

What Quadrant is the Moon located in?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

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CCSS.HSN.CN.B.4

Where is this point located in the complex plane?

• $-5$
  

• $(0,-5)$
  

• $-5i$
  

• $5i$

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CCSS.HSN.CN.B.4

What complex number is shown on the graph?

• (-2,-3)

Answer explanation

Since complex numbers can be graphed like rectangular coordinates in a complex plane, converting them to polar form is just like converting rectangular coordinates to polar form.

Tags

CCSS.HSN.CN.B.4

Rectangular coordinates contain

• x-variable (x)

• positive x axis (θ)

• y-variable (y)

• radius (r)

Tags

CCSS.HSN.CN.B.4