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3 years ago

Need help solving for Y

Mathematics

2 answers:

mario62 [17]3 years ago

7 0

Since the angle of depression is 31 degrees, the interior angle is 59 degrees. Now set up a trig ratio using opposite and adjacent sides to 59 degrees then solve.

Xelga [282]3 years ago

3 0

I think its 31* but im not sure

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Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values

Vesnalui [34]

The Lagrangian is

$L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)$

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$L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}$

$L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda$

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Substitute $x,y$ into the last equation and solve for $\lambda$ :

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Then we get two critical points,

$(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)$

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3 years ago

Write the equation: Five times the difference of a number and six is twenty.

xz_007 [3.2K]

Answer:

C. 5(x-6)=20

Step-by-step explanation:

we can represent the value of x decreased by 6 times 5 as 5(x-6) and then show that that is equal to 20.

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