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2 years ago

Find the value of :

Mathematics

1 answer:

beks73 [17]2 years ago

7 0

Answer:

i) 66

ii) 536

Step-by-step explanation:

Check attachement(s) for solution.

Attachment - 1: Solution (i)
Attachment - 2: Solution (ii)

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Let z=6-7i and z^2=a+bi. What are the values of a and b ?

Step2247 [10]

Answer:

The values are

a = -13

b = -84

Step-by-step explanation:

Given:

z=6-7i and

$z^{2}=a + bi$

To Find:

a = ?

b = ?

Solution:

Z is Complex Number consist of Real part and Imaginary part

We have

$z=6-7i\\\textrm{squaring on both the side we get}\\z^{2}=(6-7i)^{2}$

Using the identity $(A-B)^{2} =A^{2}-2AB+ B^{2}$ we get

$z^{2} =6^{2}-2\times 6\times 7i+ (7i)^{2}\\z^{2} =36-84i+49i^{2}\\$

i² = -1

∴ $z^{2} =36-84i+49(-1)\\z^{2} =36-49-84i\\z^{2} =-13-84i$

Now on comparing with $z^{2}=a + bi$ equation we get

a = -13

b = -84

5 0

3 years ago

2.) Which expression has a value of -4?<br> A. (-4) B. |-4| C. |4|<br> D. -|4|

Liono4ka [1.6K]

Answer:

A and D both have a value of -4

Step-by-step explanation:

A. (-4) = -4

B. |-4| = positive value of what is inside = 4

C. |4| = positive value of what is inside = 4

D. -|4| = -positive value of what is inside = -4

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3 years ago

Read 2 more answers

Find the percent increase or decrease: 43 to 78

FrozenT [24]

Answer:

81.39% increase.

Step-by-step explanation:

Given: There is change in number from 43 to 78.

First lets find the amount of change or difference in number.

Difference in number= $78-43= 35$

∴ Difference in number show that there is an increase of 35 number.

Now, finding the percent change in the number.

Percent= $\frac{Difference\ in\ number}{base\ number} \times 100$

⇒ Percent change in number= $\frac{35}{43} \times 100= 81.39\%$

∴ 81.39% increase in the number.

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3 years ago

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disa [49]

Answer:

what are the statements?

Step-by-step explanation:

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liq [111]

The answer is x= -1.2

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