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Elan Coil [88]
3 years ago
9

Find the quadratic equation whose roots are 3+- i / 2

Mathematics
1 answer:
Tamiku [17]3 years ago
4 0
(x - root#1) times (x - root#2) = 0 . . . . . This is how to BUILD the quadratic equation.


All the rest is just multiplying out that first line:

(x- (3+i/2)) times (x - (3-i/2)) = 0

x² -x(3-i/2) -x(3+i/2) + (3+i/2)(3-i/2) = 0

x² -3x + ix/2 -3x - ix/2 + 9 -3i/2 + 3i/2 = 0

<u>x² -6x +9 = 0</u>  There it is.  That's your quadratic equation.
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Answer in 5 min I GIVE U BRAINLIEST
telo118 [61]

This is the formula of finding the hypotenuse: a² + b² = c².

So the legs would be a and b.

4² + 4² = c²

c² = 16 + 16

c² = 32

c = √32  (Option C)

7 0
2 years ago
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What is the general form of the equation for the given circle centered at O(0, 0)? The center is (0,0) the point on the circle i
FromTheMoon [43]
Hello,

Radius= √((4-0)²+(5-0)²)=√41
Equation of the circle : x²+y²=41


4 0
3 years ago
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A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 ​respondents,
RoseWind [281]

Answer:

The statement that​ "the margin of error was given as \pm5 percentage​ points" means that the population proportion is estimated to be with a certain level of confidence, within the interval \hat{p} \pm 0.05 ; where \hat{p}[tex] is the sample's proportion. The correct answer is C. The statement indicates that the interval [tex]0.14\pm0.05 is likely to contain the true population percentage of people that prefer chocolate pie.

Step-by-step explanation:

The margin of error for proportions is given by the following formula:

z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}

Where:

z_{\alpha /2} is the critical value that corresponds to the confidence level; the confidence level being 1-\alpha,

\hat{p} is the sample's proportion of successes,

n is the size of the sample.

In this exercise we have that \hat{p}=0.14 and that the margin of error is 0.05.

Therefore if we replace in the formula to calculate the confidence interval we get:

\hat{p}\pm 0.05=0.14\pm0.05=(0.09, 0.19)

Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).

7 0
3 years ago
Select the correct answer.
Musya8 [376]

Answer:

Before Tim ate any of the jellybeans, here are numbers: 

pineapple or p  =10

raspberry or  r = 10

orange or o = 10

 

Tim has eaten 6 orange and 4 pineapple jellybeans. Hence, what's left are: 

 p = 10-4 =6

o = 10-6 =4

r = 10 so now total jelly beans are 20

So the probability of getting a raspberry is: 

p(r) = number of r/total

10/20 or 50%

6 0
2 years ago
What is the answer to this?​
GuDViN [60]

Answer:

< 1 = 48

Step-by-step explanation:

< 1 + 132 = 180

< 1 = 180 - 132

< 1 = 48

because it's a straight angle(180)

5 0
2 years ago
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