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diamong [38]
3 years ago
7

Simplify (8 + 2i)(-5 + 6i)

Mathematics
2 answers:
zlopas [31]3 years ago
8 0

Answer:

12i^2+38i-40

Step-by-step explanation:

In this problem, you have to FOIL.

Which means that first you multiply the first term "8" in (8+2i) by the terms in (-5+6i)

so...

8 * -5

8*6i

And you get:

-40 + 48i

Then You multiply the second term "2i" by the terms in (-5+6i)

so...

2i*-5

2i*6i

And you get:

-10 +12i^2

Then you add like terms to get: 12i^2 +38i-40

Andru [333]3 years ago
7 0
Assuming ‘I’ is an imaginary unit . . .

Answer : -52 + 38i
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6 0
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5 0
2 years ago
Ak = v+w solve for a
Dimas [21]

Answer:

a = \frac{v+w}{k}

Step-by-step explanation:

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5 0
3 years ago
According to the graph, what is the value of the constant in the equation
wolverine [178]

The question is missing the graph. So, it is attached below.

Answer:

(D) 3.2

Step-by-step explanation:

Given:

A graph of height versus width.

The equation given is:

Height = constant × Width

Rewriting in terms of 'constant'. This gives,

\textrm{Constant}=\frac{Height}{Width}------------- (1)  

The width is plotted on the X-axis and the corresponding height is plotted on the Y-axis.

The four points plotted on the line are:

(x, y) = (0.5, 1.6), (1, 3.2), (2, 6.4)\ and\ (3, 9.6).

Now, any point will satisfy equation (1).

Consider the point (0.5, 1.6). So, height = 1.6 and width = 0.5. Therefore,

\textrm{Constant}=\frac{Height}{Width}\\\\\textrm{Constant}=\frac{1.6}{0.5}=3.2

Also, we observe that for all the remaining points,

\dfrac{3.2}{1}=\dfrac{6.4}{2}=\dfrac{9.6}{3}=3.2.

Hence, the value of the constant is 3.2.

Option (D) is correct.

4 0
3 years ago
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