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3 years ago

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Mathematics

1 answer:

ryzh [129]3 years ago

4 0

Answers:

☆☆☆☆☆☆☆☆aTriangle ZYX
bTriangle YZX
cTriangle XZY
dTriangle XYZ

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Numbers 10, 100, 1,000, and so on are called

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3 years ago

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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

harina [27]

$L(x,y,z,\lambda)=8x+8y+4z+\lambda(4x^2+4y^2+4z^2-36)$

$L_x=8+8\lambda x=0\implies 1+\lambda x=0$
$L_y=8+8\lambda y=0\implies 1+\lambda y=0$
$L_z=4+8\lambda z=0\implies 1+2\lambda z=0$
$L_\lambda=4x^2+4y^2+4z^2-36=0\implies x^2+y^2+z^2=9$

$yL_x=y+\lambda xy=0$
$xL_y=x+\lambda xy=0$
$\implies yL_x-xL_y=y-x=0\implies y=x$

$2zL_x=2z+2\lambda xz=0$
$xL_z=x+2\lambda xz=0$
$\implies 2zL_x-xL_z=2z-x=0\implies x=2z$

$2zL_y=2z+2\lambda yz=0$
$yL_z=y+2\lambda yz=0$
$\implies 2zL_y-yL_z=2z-y=0\implies y=2z$

$x=y=2z\implies x^2+y^2+z^2=9\iff 4z^2+4z^2+z^2=9z^2=9\implies z=\pm1$

$z=\pm1\implies y=x=\pm2$

So we have two critical points, (2, 2, 1) and (-2, -2, -1), which respectively give a max of 36 and a min of -36.

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3 years ago

Help is needed please..

MrRissso [65]

Answr 2.(1.3)^x

Step-by-step explanation:

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Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)

svlad2 [7]

<h2>>> Answer </h2>

___________

$\:$

$\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}$

Step by step :

This is question no picture soo iam in step question before.

x² = 3² + 4²

x² = 9 + 16

x² = 25

x = 5yd✔

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3 years ago

I need to know the quotient of this problem heeellllllppppp!!!!

olga nikolaevna [1]

The only way to do this is by long division of polynomials. That's because the quadratic doesn't factor with real numbers and you can't cancel out from numerator to denominator. Set up your problem with the x-squared term inside the division box and the x + 6 outside. It's quite impossible to demonstrate long division in this forum, so your answer is going to be x-7 R3. I do suggest you learn this, though, as it is very important as you advance in your math classes in school.

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4 years ago