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3 years ago

A line contains the points (4,2) and (0,1). What is the equation of the line?

2 answers:

3 0

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

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-2=\cfrac{1}{4}x-1\implies y = \cfrac{1}{4}x+1$

velikii [3]3 years ago

3 0

Answer:

y = 1/4x + 1

Step-by-step explanation:

(0,1) = y's intersections is 1.

therefore, y = ?x +1

If you put (4,2) you can figure out the coefficient of x.

2 = (4 x ?) +1

?(x's coefficient) = 1/4

therefore, the equation is,

y = 1/4x + 1

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Sunny_sXe [5.5K]

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Step-by-step explanation:

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2 years ago

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2 years ago

Refer to the variable on the number of miles driven. the mean is 830.11 and the standard deviation is 42.19 miles. estimate the

Alex787 [66]

The proportion of buses traveling more than 900 miles would be 0.0485; multiply this by the total number of buses and you will have your answer.

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2 years ago

An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3ft long with a diameter of 2.2 ft . S

Contact [7]

4 minutes 34 seconds will takes to empty the tank, if the starts completely full and oil drained at a rate of 2.5 $ft^{3}$ per minute.

Step-by-step explanation:

The given is,

Tank is shaped like a cylinder that is 3 ft long with a diameter of 2.2 ft.

Oil drained at a rate of 2.5 $ft^{3}$ per minute.

Step:1

Time taken to dry the oil tank is,

T = $\frac{Volume of oil}{Oil drain rate}$ ....................................(1)

Step:2

Volume of the oil is,

$V = \pi r^{2} h$ .................................................(2)

Where, r - Radius of Cylinder

$r = \frac{d}{2}$

$r = \frac{2.2}{2}$

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From eqn (1),

V = $\pi$ × $1.1^{2}$ × 3

= 11.40398 $ft^{3}$

Step:3

From equation (1)

= $\frac{11.40398}{2.5}$

= 4.56

= 4.56 minutes

T = 4 minutes 34 seconds

Result:

Time taken to dry the oil tank is 4 minutes 34 seconds, if a cylinder is 3 ft long with a diameter of 2.2 ft and oil is drained at a rate of 2.5ft^3 per minute.

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