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storchak [24]
3 years ago
6

Write an equation the has the given solutions- 1+3i, 1-3i Show work please!

Mathematics
1 answer:
Llana [10]3 years ago
7 0
We know that z₁=1+3i and z₂=1-3i are solution, so:

(z-z_1)(z-z_2)=0\\\\\big(z-(1+3i)\big)\big(z-(1-3i)\big)=0\\\\(z-1-3i)(z-1+3i)=0\\\\
\big((z-1)-3i\big)\big((z-1)+3i\big)=0

Now we use (a-b)(a+b)=a^2-b^2 where a=z-1 and b=3i:

\big((z-1)-3i\big)\big((z-1)+3i\big)=0\\\\
(z-1)^2-(3i)^2=0\\\\z^2-2z+1-9i^2=0\qquad [i^2=-1]\\\\
z^2-2z+1+9=0\\\\\boxed{z^2-2z+10=0}
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K=am+3mx solve for m
Otrada [13]
Assuming the variables are constants, you isolate m. So move am to the left. K-am=emx. Now divide ex. This gives you, m=(K-am/ex)
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3 years ago
10. The probability of buying pizza for dinner is 34% and the probability of buying
kipiarov [429]

Answer:

The probability of eating pizza given that a new car is bought is 0.952

Step-by-step explanation:

This kind of problem can be solved using Baye’s theorem of conditional probability.

Let A be the event of eating pizza( same as buying pizza)

while B is the event of buying a new car

P(A) = 34% = 0.34

P(B) = 15% = 15/100 = 0.15

P(B|A) = 42% = 0.42

P(B|A) = P(BnA)/P(A)

0.42 = P(BnA)/0.34

P(B n A) = 0.34 * 0.42 = 0.1428

Now, we want to calculate P(A|B)

Mathematically;

P(A|B = P(A n B)/P(B)

Kindly know that P(A n B) = P(B n A) = 0.1428

So P(A|B) = 0.1428/0.15

P(A|B) = 0.952

4 0
3 years ago
Using the Distance Formula Find the length given the points<br> (0,0) and (0,100)
Ahat [919]
The length is 10
i showed my steps on the picture attached
hope this helps :)

7 0
2 years ago
Write an equation in slope-intercept form for the line that satisfies the following condition.passes through (20, 1), parallel t
Dmitrij [34]

Slope-intercept form:  y = mx + b  

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they have to have the same slope.

y = 6x + 6    The slope of this line is 6, so the parallel line's slope is also 6.

Now that you know m = 6, substitute/plug it into the equation:

y = mx + b         Plug in 6 for "m" in the equation  

y = 6x + b     To find "b", plug in the point (20, 1) into the equation

1 = 6(20) + b

1 = 120 + b       Subtract 120 on both sides to get "b" by itself

1 - 120 = 120 - 120 + b

-119 = b         Now that you know b = -119, plug it into the equation

y = 6x - 119

5 0
3 years ago
Which of the following statements accurately describes the result of a decreasing worker-per-beneficiary ratio in the Social Sec
Marysya12 [62]

The correct answer would be,

<em><u>c. </u></em>

<em><u>Fewer taxed workers than beneficiaries means that more money is being drawn from the system for the money put in.  This leaves a shortage of money in the system making benefits for future beneficiaries unsure.</u></em>



5 0
3 years ago
Read 2 more answers
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