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Yuliya22 [10]
3 years ago
5

Which of the following is the conjugate of a complex number with 2 as the real part and −8 as the imaginary part?

Mathematics
2 answers:
vampirchik [111]3 years ago
3 0
The complex number is given as: 2-8i

So for conjugate, you just flip the sign of the imaginary part:

2+8i will be the answer
ser-zykov [4K]3 years ago
3 0
<h2>Answer:</h2>

The conjugate of the given complex number is:

                        2+8i

<h2>Step-by-step explanation:</h2>

We know that any complex number is written in the form of:

            z=a+ib

where a and b are real numbers.

The conjugate of the complex number is given by:

              \bar z=\bar {a+ib}\\\\i.e.\\\\\bar z=a-ib

Here we are given that:

We have a complex number such that the  real part of a complex number is 2 and it's imaginary part is -8.

i.e.

a=2 and b= -8

i.e. the complex number is:

z=2+(-8)i

Hence, the conjugate of this number is:

\bar z=2-(-8)i\\\\i.e.\\\\\bar z=2+8i

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Emily has $3.15 worth of dimes and quarters. She has twice as many dimes as quarters. Determine the number of dimes and the numb
Cerrena [4.2K]

Answer:

The number of dimes is <u>14</u> and the number of quarters is <u>7</u>.

Step-by-step explanation:

Given:

Emily has $3.15 worth of dimes and quarters.

<em><u>She has twice as many dimes as quarters.</u></em>

Now, to determine the number of dimes and the number of quarters.

Let the number of quarters be x.

And the number of dimes be  2x.

So, the total worth of dimes and quarters = $3.15.

Now, to get the number of dimes and quarters:

According to question:

0.10(2x)+0.25x=3.15

0.20x+0.25x=3.15

0.45x=3.15

<em>Dividing both sides by 0.45 we get:</em>

x=7.

<em>Thus, the number of quarters</em> = 7.

<em>So, the number of dimes</em> = 2x=2\times 7=14.

Therefore, the number of dimes is 14 and the number of quarters is 7.

6 0
3 years ago
Which expression is equivalent to the area of square A, in square inches?
Alex787 [66]

Answer:

10^2+24^2

Step-by-step explanation:

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3 0
3 years ago
What is the image point of (-5,0) after a translation left 2 units and down 1 unit? Submit Answer attempt 1 out of 2
anygoal [31]

If you want to translate a point (x,y) to the left, you have to subtract the number of units (n) that you want to translate it from the original x coordinate, like this:

(x-u,y)

And if you want to translate a point (x,y) downwards, just subtract the number of units n you want to translate from the y coordinate, like this:

(x,y-n)

in this case, we have the point (-5,0) which image would be:

After a translation of 2 to the left

and with 1 unit down, this point would look like this:

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7 0
1 year ago
A cyclist rides his bike 18 miles per hour what is the speed in minutes? How many miles will the cyclist travel in 10 minutes
Crazy boy [7]

Answer:

Step-by-step explanation:

18 miles..................60 min

18/60= 0.30 miles/ min

10  minutes   0.30*10=3 miles

3 0
3 years ago
Read 2 more answers
R: 7x - 2y = 14<br> each line<br> Slope
Llana [10]

Answer:

m=7/2

Step-by-step explanation:

7x-2y=14

2y=7x-14

y=7/2x-14/2

y=7/2x-7

y=mx+b where m=slope and b=y-intercept,

the slope is 7/2

7 0
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