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Artyom0805 [142]
2 years ago
15

PLEASE HELP 20 POINTS!! QUESTION IS AN IMAGE

Mathematics
1 answer:
prisoha [69]2 years ago
5 0

Okay, so first off, if you need to graph anything, I suggest Desmos, it's a website with an online graphing calculator. It saved my life for highschool geometry.

Now, to answer your question, your y-intercept is going to be at point (0,2). Your x-intercepts are going to be at points (-2,0) and (-4,0). Your point is at (-3,-1). And then your lines simply extend from there.

Hope this isn't too late to be helpful, good luck with your assignments.

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AP CAL AB HELP!
Paul [167]

Answer:

\frac{dc}{dt}\approx13.8146\text{ km/min}

Step-by-step explanation:

We know that the plane travels at a <em>constant</em> speed of 14 km/min.

It passes over a radar station at a altitude of 11 km and climbs at an angle of 25°.

We want to find the rate at which the distance from the plane to the radar station is increasing 4 minutes later. In other words, if you will please refer to the figure, we want to find dc/dt.

First, let's find c, the distance. We can use the law of cosines:

c^2=a^2+b^2-2ab\cos(C)

We know that the plane travels at a constant rate of 14 km/min. So, after 4 minutes, the plane would've traveled 14(4) or 56 km So, a is 56, b is a constant 11. C is 90+20 or 115°. Substitute:

c^2=(56)^2+(11)^2-2(56)(11)\cos(115)

Evaluate:

c^2=3257-1232\cos(115)

Take the square root of both sides:

c=\sqrt{3257-1232\cos(115)}

Now, let's return to our law of cosines. We have:

c^2=a^2+b^2-2ab\cos(C)

We want to find dc/dt. So, let's take the derivative of both sides with respect to t:

\frac{d}{dt}[c^2]=\frac{d}{dt}[a^2+b^2-2ab\cos(C)]

Since our b is constant at 11 km, we can substitute this in:

\frac{d}{dt}[c^2]=\frac{d}{dt}[a^2-(11)^2-2a(11)\cos(C)]

Evaluate:

\frac{d}{dt}[c^2]=\frac{d}{dt}[a^2-121-22a\cos(C)]

Implicitly differentiate:

2c\frac{dc}{dt}=2a\frac{da}{dt}-22\cos(115)\frac{da}{dt}

Divide both sides by 2c:

\frac{dc}{dt}=\frac{2a\frac{da}{dt}-22\cos(115)\frac{da}{dt}}{2c}

Solve for dc/dt. We already know that da/dt is 14 km/min. a is 56. We also know c. Substitute in these values:

\frac{dc}{dt}=\frac{2(56)(14)-22\cos(115)(14)}{2\sqrt{3257-1232\cos(115)}}

Simplify:

\frac{dc}{dt}=\frac{1568-308\cos(115)}{2\sqrt{3257-1232\cos(115)}}

Use a calculator. So:

\frac{dc}{dt}\approx13.8146\text{ km/min}

And we're done!

6 0
3 years ago
Noreen can walk a mile in 12 minutes. What is her average speed in miles per hour?​
coldgirl [10]

Answer:

1.67 m/s is her average speed per hour.

Step-by-step explanation:

4 0
2 years ago
In​ basketball, some baskets are worth two points. Others are worth three points. In one​ game, the ratio of​ three-point basket
Alex787 [66]

The number of three-point tries is 36.

<h3>What are ratios?</h3>

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

<h3 /><h3>What is the number of three point tries?</h3>

The first step is to determine the total number of tries and baskets: (27 X 7)/3 = 63

Number of three-point tries = (4/7) x 63 = 36

To learn more about ratios, please check: brainly.com/question/25927869

4 0
2 years ago
-10 &lt; -15 true or false ? Explain if true or false
Charra [1.4K]

Answer:

true

Step-by-step explanation:

3 0
3 years ago
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I. am. tired. of. posting. questions. over. and. over. again. I so serious this is a grade and today is my last day of school an
aleksklad [387]

Answer:hi

Step-by-step explanation:plz like and brainliest i am noob I really need this plz

3 0
2 years ago
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