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Phoenix [80]
3 years ago
13

Write the polynomial function of least degree with zeros 2 and 3 + i

Mathematics
1 answer:
OverLord2011 [107]3 years ago
6 0

Answer:

y= (x - 2)(x - (3 + i))(x + (3 + i))

I think this is the answer.

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What is the equation, in slope-intercept form, of the line
Sati [7]

<u>Given</u>:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

<u>Slope of the given line:</u>

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the coordinates (-1,3) and (2,2), we get;

m_1=\frac{2-3}{2+1}

m_1=-\frac{1}{3}

Thus, the slope of the given line is m_1=-\frac{1}{3}

<u>Slope of the perpendicular line:</u>

The slope of the perpendicular line can be determined by

m_2=-\frac{1}{m_1}

Substituting m_1=-\frac{1}{3}, we get;

m_2=-\frac{1}{-\frac{1}{3}}

simplifying, we get;

m_2=3

Thus, the slope of the perpendicular line is 3.

<u>Equation of the perpendicular line:</u>

The equation of the perpendicular line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting m=3 and the point (2,-1) in the above formula, we have;

y+1=3(x-2)

y+1=3x-6

     y=3x-7

Thus, the equation of the perpendicular line is y=3x-7

Hence, Option d is the correct answer.

3 0
3 years ago
The difference of 10 and the product of n and 2 is 4 which operation models this​
vagabundo [1.1K]

Answer:

10 - 2n - 4

Step-by-step explanation:

The product of n and 2 is 2n.

Then 10 - 2n is the difference of 10 and the product of n and 2.

In conclusion, we have:  

10 - 2n - 4

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3 years ago
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\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}}\implies \cfrac{-4}{2}\implies -2

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3 years ago
Write the ratio two fifths<br> to 8 as a fraction in simplest form.<br><br> PLEASE HELP
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Answer:

the answer is b on oddesseyware

Step-by-step explanation:

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A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standa
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