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3 years ago

What is the slope of the line containing (-2, 5) and (4,-4)?

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

5 0

Answer:

Option C is correct.

Step-by-step explanation:

<h2> $slope \: = \: \frac{y2 - y1}{x2 - x1}$ </h2><h3> $= \frac{ - 4 - (5)}{4 - (2)}$ </h3><h3> $= \frac{ - 9}{4 + 2}$ </h3><h3> $= \frac{ - 9}{6}$ </h3><h3> $= \frac{3( - 3)}{3 - 2}$ </h3><h3> $= - \frac{3}{2}$ </h3><h3>Hope it is helpful....</h3>

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4vir4ik [10]

the answer to the question is 2r-10

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The total stopping distance T for a vehicle is T = 2.5x + 0.5x 2 , where T is in feet and x is the speed in miles per hour. Appr

Kobotan [32]

Answer:

% change in stopping distance = 7.34 %

Step-by-step explanation:

The stooping distance is given by

$T = 2.5 x + 0.5 x^{2}$

We will approximate this distance using the relation

$f (x + dx) = f (x)+ f' (x)dx$

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T' = 2.5 + x

Therefore

$f(x)+f'(x)dx = 2.5x+ 0.5x^{2} + 2.5 +x$

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3 years ago

If the units for x are years, and x = 5 represents the year 2015, what is the y-value for 2010?

Darya [45]

<u>Given</u>:

The given graph passes through the points (-3,4) and (3,2)

The x - axis represents the years. The value x = 5, year 2015.

We need to determine the y - value for 2010.

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The slope of the line can be determined using the formula,

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

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

$m=\frac{2-4}{3+3}$

$m=\frac{-1}{3}$

Thus, the slope of the line is $m=\frac{-1}{3}$

<u>y - intercept:</u>

The y - intercept in the graph is the point in the line that crosses the y - axis.

Thus, from the graph, it is obvious that the y - intercept is b = 3.

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

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

$y=mx+b$

Substituting the values, we have;

$y=-\frac{1}{3}x+3$

Thus, the equation of the line is $y=-\frac{1}{3}x+3$

<u>The y - value for 2010:</u>

Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.

Hence, the value of x for 2010 is given by

$x=5-5=0$

Thus, x = 0 represents the year 2010.

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$y=-\frac{1}{3}(0)+3$

$y=3$

Thus, for 2010 the value of y is 3.

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2 years ago

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Natasha2012 [34]

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