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Artemon [7]
3 years ago
15

What is the solution?

Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
8 0

Answer:

A. {3+7i,3-7i}

Step-by-step explanation:

The given equation  is  x^2-6x+58=0

Use the quadratic formula with a=1,b=-6 and c=58

Recall the quadratic formula;

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

We substitute the given values to get;

x=\frac{--6\pm \sqrt{(-6)^2-4(1)(58)} }{2(1)}

x=\frac{6\pm \sqrt{36-232} }{2}

x=\frac{6\pm \sqrt{-196} }{2}

Recall that;

\sqrt{-1}=i

x=\frac{6\pm 14i}{2}

x=3\pm 7i

x=3+7i or x=3-7i

AysviL [449]3 years ago
4 0

Answer: OPTION A

Step-by-step explanation:

Apply the Quadratic formula, which is:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case:

a=1\\b=-6\\c=58

Then, you must susbtitute these values into the quadratic formula, as shown below:

x=\frac{-(-6)\±\sqrt{(-6)^2-4(1)(58)}}{2*1}

x=\frac{6\±\sqrt{-196}}{2}

Keep on mind that i=\sqrt{-1}, then you can rewrite it as following:

x=\frac{6\±14i}{2}\\\\\\x=\frac{2(3\±7i)}{2}\\\\x=3\±7i\\\\x_1=3+7i\\x_2=3-7i

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Answer:

B. y=-2x+4

Step-by-step explanation:

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5 0
3 years ago
The late fee for library books is $2.00 plus 15 cents each day for a book that is late. How much will you owe if the book is 30
zaharov [31]
$4.50

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8 0
3 years ago
A hand of five cards is dealt from a normal pack of 52 cards, find the probability that there is no aces
stich3 [128]
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4 0
3 years ago
Scores on an exam follow an approximately normal distribution with a mean of 76. 4 and a standard deviation of 6. 1 points. What
crimeas [40]

If scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score you would need to be in the top 2% is equal to 88.929.

A problem of this type in mathematics can be characterized as a normal distribution problem. We can use the z-score to solve it by using the formula;

Z = x - μ / σ

In this formula the standard score is represented by Z, the observed value is represented by x, the mean is represented by μ, and the standard deviation is represented by σ.

The p-value can be used to determine the z-score with the help of a standard table.

As we have to find the minimum score to be in the top 2%, p-value = 0.02

The z-score that is found to correspond with this p-value of 0.02 in the standard table is 2.054

Therefore,

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To learn more about normal distribution, click here:

brainly.com/question/4079902

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5 0
1 year ago
In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to s
GalinKa [24]
Rule: The diagonals of any parallelogram bisect each other. In other words, they cut each other in half.

This means DF is cut into two equal pieces: DH and HF.
Similarly, GE is cut into two equal pieces: GH and HE.

DH = HF
x+5 = 2y
x = 2y-5

GH = HE
4x-3 = 4y+1
4(x)-3 = 4y+1
4(2y-5)-3 = 4y+1 ... x has been replaced with 2y-5
8y-20-3 = 4y+1
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If y = 6, then x is
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--------------------------------------------

Answers: 
x = 7 and y = 6

5 0
3 years ago
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