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Ymorist [56]
3 years ago
8

Using graph paper, determine the line described by the given point and slope. Click to show the correct graph below.

Mathematics
1 answer:
Otrada [13]3 years ago
3 0

Answer:

  see below

Step-by-step explanation:

A proportional relationship has a graph that <em>always goes through the origin</em>. This fact by itself eliminates all the wrong answers.

A slope of 2/3 means the rise is 2 for each horizontal run to the right of 3. The two given points are 2 vertical units and 3 horizontal units apart, demonstrating a slope of 2/3.

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At a given moment, a plane passes directly above a radar station at an altitude of 6 km6 km and the plane's speed is 800 km/h.80
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Answer: see explanation

Step-by-step explanation:

so you have a plane at constant altitudeof 6km (6000m) flying at 800 km/h (222.222 m/s) (see the image)

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now we have a triangle with an angle theta, one side is x(t), and the other is 6000m. we can get theta by tan(theta) = 6000/(222.222*t). 24 minutes are 1440 seconds so if we replace such value, we get the theta angle by  solving for theta => theta = arctan(6000/(222.222*1440)) = 0.019 radians or 1.074 degrees. Now if you want to know the exchange rate of theta we have to differentiate the expression with respect to t:

\frac{d}{dt} \theta = \frac{d}{dt}(arctan(\frac{6000}{222.222*t} )) = \frac{1}{1+\frac{6000}{222.222*t} } * -\frac{27}{t^2}  = -\frac{27}{t^2+729.001}

then replace t with 1440 and you will get that theta is changing by -0.000013 (1.3E-5) radians or -7.458E-4 degrees every second which has a lot of sense since the plane is getting out of your line of sight due to the earth's curvature

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