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Ostrovityanka [42]
3 years ago
12

Wha is the name of the line that you use to define a parabola?

Mathematics
2 answers:
Basile [38]3 years ago
8 0

Answer is:

Directrix - D.

Minchanka [31]3 years ago
3 0
( D. ) ——— Directrix
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W÷9=9-8<br> what is the answer to this equation
saul85 [17]

Answer:

9

Step-by-step explanation:

8 0
3 years ago
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Find the max and min values of f(x,y,z)=x+y-z on the sphere x^2+y^2+z^2=81
Anton [14]
Using Lagrange multipliers, we have the Lagrangian

L(x,y,z,\lambda)=x+y-z+\lambda(x^2+y^2+z^2-81)

with partial derivatives (set equal to 0)

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}
L_y=1+2\lambda y=0\implies y=-\dfrac1{2\lambda}
L_z=-1+2\lambda z=0\implies z=\dfrac1{2\lambda}
L_\lambda=x^2+y^2+z^2-81=0\implies x^2+y^2+z^2=81

Substituting the first three equations into the fourth allows us to solve for \lambda:

x^2+y^2+z^2=\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}=81\implies\lambda=\pm\dfrac1{6\sqrt3}

For each possible value of \lambda, we get two corresponding critical points at (\mp3\sqrt3,\mp3\sqrt3,\pm3\sqrt3).

At these points, respectively, we get a maximum value of f(3\sqrt3,3\sqrt3,-3\sqrt3)=9\sqrt3 and a minimum value of f(-3\sqrt3,-3\sqrt3,3\sqrt3)=-9\sqrt3.
5 0
3 years ago
Select the correct answer. If the function 5x + y = 1 has the domain (-2, 1, 6), then what is the corresponding range? OA. {-9,
Leokris [45]

Answer:

D) {11,-4,-29}

Step-by-step explanation:

rewrite the equation as y= -5x+1 and plug in -2,1 and 6 to get y

-5*-2+1=11

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-5*6+1=-29

3 0
3 years ago
What expression is equivalent to 4(u+11)
qaws [65]

Answer:

4u+44

Step-by-step explanation:

The number 4 on the outside of the parentheses is being multiplied by everything within the parentheses, resulting in a product of 4u+44

3 0
3 years ago
The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition. How many boys part
Vlad1618 [11]
7*6=42 girls
5*6=30 boys
7:5=42:30
30 boys participated
4 0
3 years ago
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