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Llana [10]
2 years ago
11

Help me please this is really important

Mathematics
1 answer:
EleoNora [17]2 years ago
6 0

Answer:

The posters will be 1 foot away from each other

Step-by-step explanation:

The equation is right

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What is the slope of a line that is perpendicular to the line shown on the graph?​
Anvisha [2.4K]
The answer is C. 1/2

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4 0
3 years ago
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
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary
DiKsa [7]

Answer:

5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
If 1:2 represents the amount of students that walked and the amount of students that took the subway and 1:3 represent the amoun
vivado [14]

Answer:

If 3 students walked, then according to the given ratios, 18 students would have taken the bus.

Step-by-step explanation:

Given: 3 Walkers

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1:3 --> 6:18 subway to bus riders

4 0
3 years ago
Look at the graph below when did Denise stop walking?
bonufazy [111]

Answer:

B, between 1 and 3 seconds.

Step-by-step explanation:

This is because the line is horizontal, and no changes were made, meaning she stopped walking.

Hope this helped.

4 0
2 years ago
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