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Marta_Voda [28]
1 year ago
14

write the equation of the line that satisfies the given conditions.give the equation (a) in the slope-intercept form and (b) in

standard form. through (-5,7); perpendicular to x=8
Mathematics
1 answer:
nekit [7.7K]1 year ago
4 0

In order for a line to be perpendicular to another, the product between the slopes needs to be equal to -1.

since the line x=8 is a vertical line and does not have a slope multiplying a variable, the perpendicular line needs to be a horizontal line.

the general equation for a horizontal line:

y=c

if it needs to pass through the point (-5,7), the y-coordinate will determine the equation

y=7

Answer:

y=7

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Examine the data below for a stalk of corn. Logarithmic regression Use logarithmic regression to find an equation of the form y
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The value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

<h3>What is logarithmic regression?</h3>

Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.

The data of the table for the day and height of the stalk of corn is listed below.

Day (<em>x</em>)                9    12    22    40    

Height (<em>y</em>) in        5    17    45    60  

Mean of x values,

m_x=\dfrac{9+12+22+40}{4}\\m_x=17.5581

Mean of y values,

m_y=\dfrac{5+17+45+60}{4}\\m_y=31.75

For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,

y = -76.2038+37.6735\ln(x)

Compare it with the following logarithmic regression equation, we get

y = a+b\ln(x)

a=-76.2038\\b=37.6735

Hence, the value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

Learn more about the logarithmic regression here;

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Answer: use math-way Have a nice day

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3 years ago
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