Answer:
173.2
Step-by-step explanation:
area of equilateral triangle = √3 / 4 l^2
so area =173.2
Answer: Vertical line x = 1
<u>Step-by-step explanation:</u>
(1, 1) (1, 2) (1, 3) (1, 4)
Notice that the x-value for each coordinate is 1.
The line is a vertical line (up & down) through x = 1
For one pair of socks you pay $12 plus $2 shipping.
Let's use x as the variable for how many pairs of socks someone might buy.
If someone buys 5 pairs of socks, they will pay $62. $12 * 5 + $2
So, we can write the expression as 12x + 2.
<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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