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BARSIC [14]
2 years ago
13

Multiply the following complex numbers:(7-3i)(8 + 4i)​

Mathematics
1 answer:
mel-nik [20]2 years ago
3 0

Answer:

A

Step-by-step explanation:

Noting that i² = - 1

Given

(7 - 3i)(8 + 4i) ← expand factors using FOIL

= 56 + 28i - 24i - 12i²

= 56 + 4i - 12(- 1)

= 56 + 4i + 12

= 68 + 4i → A

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kari74 [83]

Answer:

y = - \frac{2}{3} x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (- 4.5, 0 ) ← coordinates of intercepts

m = \frac{0-(-3)}{-4.5-0} = \frac{0+3}{-4.5-0} = \frac{3}{-4.5} = - \frac{2}{3}

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2 years ago
How do you divide a fraction by a fraction?
Vaselesa [24]

Answer:

Step-by-step explanation:you flip the second fraction and multiply that

8 0
2 years ago
YALL PLEASE HELP ME
rodikova [14]

Answer:

Diameter: Circumference

Step-by-step explanation:

Because this is Pi, which is the same for any circle.

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2 years ago
Find the area of the shaded figure, rounded to two decimals. (Assume x = 3 and y = 4.)
maksim [4K]
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3 years ago
An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How
AleksAgata [21]

Answer:

<em>6 days</em>

<em></em>

Step-by-step explanation:

Let the time taken by Carpenter working alone = C days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2C days

Time taken working together = 2 days

Work done in one day working together = \frac{1}{2}

Work done in one day by Carpenter working alone = \frac{1}{C}

Work done in one day by apprentice working alone = \frac{1}{2C}

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone =  \frac{1}{C}+\frac{1}{2C} = Work done in one day working together = \frac{1}{2}

\dfrac{1}{C}+\dfrac{1}{2C}=\dfrac{1}{2}\\\Rightarrow \dfrac{2+1}{2C}=\dfrac{1}{2}\\\Rightarrow C = 3\ days

Time taken by Carpenter alone to complete the work = 3 days

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