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grandymaker [24]

4 years ago

15

Complex numbers, simplify the following expression; 10/1+3i

1 answer:

svp [43]4 years ago

8 0

$\frac{10}{1 + 3i} = \frac{10}{1 + 3i} * \frac{1-3i}{1-3i} = \frac{10-30i}{1^{2} -(3i)^{2}} = \frac{10-30i}{1 -9 i^{2} } = \frac{10-30i}{1 -9*(-1)} = \frac{10(1-3i)}{1+9}= \frac{10(1-3i)}{10}$ $= 1 -3i$

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4 years ago

Write the equation of the line that is parallel to the given segment and that passes through the point (-3,0).

grandymaker [24]

Answer:

Option (B)

Step-by-step explanation:

In the figure attached,

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$m_2=-\frac{1}{3}$

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Option (B). will be the answer.

5 0

3 years ago

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3 0

4 years ago

Read 2 more answers

Please help me solve -6 = 14 - z/3

dybincka [34]

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3 years ago

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Denzel wants to work out the density of a block of wood the block of wood is in the shape of the cuboid

marishachu [46]

Answer:

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Step-by-step explanation:

Given

$Length = 17.7cm$

$Width = 8.3cm$

$Height = 13.0cm$

$Mass = 2090g$

See attachment

Required

Determine the density of the wood

First, we calculate the volume of the wood.

$Volume = Length * Width * Height$

Substitute values for Length, Width and Height

$Volume = 17.7cm * 8.3cm * 13.0cm$

$Volume = 1909.83cm^3$

The density is:

$Density = \frac{Mass}{Volume}$

$Density = \frac{2090g}{1909.83cm^3}$

$Density = 1.094g/cm^3$ <em> --- approximated</em>

5 0

3 years ago