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3 years ago

How do you find the equation for the line that is parallel to the line y=2/3x-7 and passes through the point (3,-1)

1 answer:

3 0

parallel lines have the same exact slope hmmm what's the slope of y = 2/3x-7 anyway? well, low and behold, is already in slope-intercept form, therefore

$\bf \stackrel{\textit{slope-intercept form}}{y=\stackrel{slope}{\cfrac{2}{3}}x-7}$ .

so we're really looking for the equation of a line whose slope is 2/3, and runs through 3, -1.

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-1})~\hspace{7em} slope = m\implies \cfrac{2}{3} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-1)=\cfrac{2}{3}(x-3) \\\\\\ y+1=\cfrac{2}{3}x-2\implies y=\cfrac{2}{3}x-3$

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in an election between two candidates one got 55% of the total valid votes 20% votes were invalid if the total number of votes w

timurjin [86]

Answer:

25%- 1875 Votes

7500 x 0.55 = 4125 (first candite valid votes)

7500 x 0.20 = 1500 (invalid)

first candite valid votes (55) + invalid votes (20) = 75% of total votes

first candite valid votes (4125) + invalid votes (1500 ) = 5625 of total votes

100 (total percent of votes) - 75 (total percent of votes) = 25% Votes Left

7500 (total number of votes) - 5625 (total number of votes) = 1875 Votes Left

7500 x 0.25 = 1875 (valid votes for the other candite)

4 0

2 years ago

In the problem 4 x 12 = 48 which numbers are the factors

Volgvan

C 4and 12 are the factors of 48

3 0

2 years ago

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How do you find the derivative of 1/logx?

valentina_108 [34]

The derivative of 1/logx is With the chain rule.

1log(x)=log(x)−1 is ,= -1xlog(x)2 .

The by-product of logₐ x (log x with base a) is 1/(x ln a). Here, the thrilling issue is that we have "ln" withinside the by-product of "log x". Note that "ln" is referred to as the logarithm (or) it's miles a logarithm with base "e".

The by-product of 1/log x is -1/x(log x)^2. Note that 1/logx is the reciprocal of log.

$With the chain rule. \\ 1log(x)=log(x)−1 \\ So you follow the chain rule to the electricity after which to the log: \\ ddxlog(x)−1=−1⋅log(x) \\ \\−2⋅ddxlog(x) \\ =−1log(x)21x \\ =−1xlog(x)2 .$

Read more about derivatives;

brainly.com/question/23819325

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6 months ago

Find the distance between the following points using the Pythagorean theorem: (-5, 4) and (8, -3)

3241004551 [841]

First, draw a diagram to visualize the situation:

As we can see, the difference between the x-coordinates of the points is the length of one leg of a right triangle, and the difference between the y-coordinates is the length of the other leg.

Then, for the given points (-5,4) and (8,-3), the distance given by the Pythagorean Theorem is:

$\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ =\sqrt{(8--5)^2+(-3-4)^2} \\ \\ =\sqrt{(13)^2+(-7)^2} \\ \\ =\sqrt{169+49} \\ \\ =\sqrt{218} \\ \\ \approx14.7648... \end{gathered}$

Therefore, the distance between the points (-5,4) and (8,-3) is: √218.

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9 months ago

Please help will give brainliest

kotykmax [81]

Answer:

Step-by-step explanation:

10 times 8 = 80

80 times 3 = 240

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2 years ago

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