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AysviL [449]
2 years ago
13

Solve the system by substitution. y = 8x + 32 Y= -8x​

Mathematics
1 answer:
leonid [27]2 years ago
6 0
The answer is (x,y) = (-2, 16)

do you need an explanation as well?
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If 0° ≤ θ ≤ 90° and cosθ = 11/15 , what is the value of sin (90° - θ)?
igor_vitrenko [27]
11/15=0.7333
cos^{-1}(0.7333) =42.83342
sin(90-47.166572) = 0.7333

first, find the numeric value for 11/15
second to find theta, simply do the <em>inverse</em> cos (which is cos^-1) of the first answer.
now you know theta, just do the sin of 90 - theta and that's it!

since you know whatr cos(theta) is, you just take the inverse cos of that number to get theta and 'reverse' cos, essentially. you are just solving for theta, by reversing the cos function with cos^-1
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A baseball is thrown without any spin. Would you consider the baseball to be in motion?
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yes

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Which expression is equivalent to<br> ва ?<br> o areks<br> 22<br> зев<br> обек<br> 22<br> 34
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it is epuivalet

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Describe how you would find the maximum and minimum values for tangent of the typical angles used on the unit circle. What are t
Ipatiy [6.2K]

<span>3down votefavorite1Find minimum and maximum value of function <span>f(x,y)=3x+4y+|x−y|</span> on circle<span>{(x,y):<span>x2</span>+<span>y2</span>=1}</span>I used polar coordinate system. So I have <span>x=cost</span> and <span>y=sint</span> where <span>t∈[0,2π)</span>.Then i exploited definition of absolute function and i got:<span>h(t)=<span>{<span><span>4cost+3sintt∈[0,<span>π4</span>]∪[<span>54</span>π,2π)</span><span>2cost+5sintt∈(<span>π4</span>,<span>54</span>π)</span></span></span></span>Hence i received following critical points (earlier i computed first derivative):<span>cost=±<span>45</span>∨cost=±<span>2<span>√29</span></span></span>Then i computed second derivative and after all i received that in <span>(<span>2<span>√29</span></span>,<span>5<span>√29</span></span>)</span> is maximum equal <span>√29</span> and in <span>(−<span>45</span>,−<span>35</span>)</span> is minimum equal <span>−<span>235</span></span><span>
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6 0
3 years ago
Find the volume of a right circular cone that has a height of 11.8 ft and a base with a radius of 16 ft. Round your answer to th
andreyandreev [35.5K]

Answer:

3161.8 cubic foot

Step-by-step explanation:

V = 1/3BH = 1/3πr²H

V = 1/3 x 3.14 x 16² x 11.8 = 3161.77

4 0
3 years ago
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