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kramer
3 years ago
14

Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong and show Jocel

yn the correct solution.
Mathematics
1 answer:
jekas [21]3 years ago
7 0

Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong, and show Jocelyn the correct solution.

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This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex
noname [10]

L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)

L_x=10+10\lambda x=0\implies1+\lambda x=0

L_y=10+10\lambda y=0\implies1+\lambda y=0

L_z=2+4\lambda z=0\implies1+2\lambda z=0

L_\lambda=5x^2+5y^2+2z^2-42=0

\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z

5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1

z^2=1\implies z=\pm1\implies x=y=\pm2

There are two critical points, at which we have

f\left(2,2,1\right)=42\text{ (a maximum value)}

f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}

3 0
3 years ago
Help me
Komok [63]

Answer:

system of equations are

y=53x + 10, y=55x

Step-by-step explanation:

y=mx+b where x is the number of tickets purchased and y is the total cost.

We need to frame the equation for each option

Option 1: $53 for each ticket plus a shipping fee of $10

1 ticket cost = 53

So x tickets cost = 53x

shipping fee = $10 so b= 10

So equation becomes y=53x + 10

Option 2: $55 for each ticket and free shipping

1 ticket cost = 55

So x tickets cost = 55x

shipping fee =0 so b= 0

So equation becomes y=55x

5 0
2 years ago
8.71 ×<img src="https://tex.z-dn.net/?f=10%5E%7B7%7D" id="TexFormula1" title="10^{7}" alt="10^{7}" align="absmiddle" class="late
Semmy [17]
It’s 87100000 Have Ah Good Day.
4 0
3 years ago
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GIVING BRAINLIEST!!! PLEASE HELP ME OR BINGUS WILL BE ANGY!!! IM TRYING TO FINISH A TEST AND I HAVE 3 QUESTIONS LEFT! 20 MINS LE
Darina [25.2K]

Answer:

25.5        72      144

Step-by-step explanation:

done

3 0
3 years ago
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I’m currently working on my quadrilaterals unit (specifically with trapezoids &amp; kites) and I need major help on a lot of the
allochka39001 [22]

Answer: 29.2

Step-by-step explanation:

The lengths of the two longer legs are both \sqrt{8^2 + 4^2}=\sqrt{80}

The lengths of the two shorter legs are both \sqrt{4^2+4^{2}}=\sqrt{32}

So P=2\sqrt{80}+2\sqrt{32} \approx 29.2

5 0
2 years ago
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