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enot [183]
3 years ago
7

What is the slope of this line?

Mathematics
2 answers:
olga2289 [7]3 years ago
7 0

Answer:

3

Step-by-step explanation:

In the Slope-Intercept Formula, <em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em><em>,</em><em> </em><em>m</em><em> </em>is the <em>Rate</em><em> </em><em>of</em><em> </em><em>Change</em><em> </em>[<em>Slope</em>]. Anyway, starting from the <em>y-intercept</em><em> </em>of [0, 2], move 3 units <em>north</em><em> </em>over 1 unit <em>east</em><em>.</em><em> </em>That is called <em>rise</em><em>\</em><em>run</em><em> </em><em>→</em><em> </em>3\1 = 3.

I am joyous to assist you anytime.

kolezko [41]3 years ago
3 0

Answer:

The slope of this line is -3.

Step-by-step explanation:

To find the slope of this line, first you have to use slope formula of \Rightarrow\displaystyle\frac{y_2-y_1}{x_2-x_1}=\frac{rise}{run}.

5-(-4)

(-2)-1

\displaystyle \frac{5+4}{(-2)-1}=\frac{9}{-3}=\frac{9\div3}{-3\div3}=\frac{3}{-1}=-3

As a result, the correct answer is -3.

I hope this helps!

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Step-by-step explanation:

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A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

\Rightarrow y=\sqrt{x^2+100}

Differentiating with respect to t

\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}

\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}

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\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)

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\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)

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               =\frac{24\times (-13)}{26}

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Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

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3 years ago
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