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4 years ago

Find the distance between two points. (1,3)(-2,8)

Mathematics

2 answers:

Natasha2012 [34]4 years ago

6 0

Answer:

4,10

Step-by-step explanation:

add the numbers together

sammy [17]4 years ago

6 0

Answer:

-3,5

Step-by-step explanation:

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Maddie babysat for 3 hours and earned $22.50.

Mazyrski [523]

Answer:

jurnls babysitting cost more

Step-by-step explanation:

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3 years ago

Suppose an n×n matrix A has determinant equal to 1. Which of the following statements is true? Check the correct answer(s) below

Aloiza [94]

Answer: Identify at least three reasons the Articles of Confederations failed as a governing document. In your opinion, evaluate which defect was most debilitating, using evidence and your knowledge of American government to justify your position.

Step-by-step explanation:

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3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

pashok25 [27]

Answer with Step-by-step explanation:

We are given that

$f(x,y,z)=10x+10y+3z$

$g(x,y,z)=5x^2+5y^2+3z^2=43$

We have to find the extreme values of the function.

$f_x(x,y,z)=10,f_y(x,y,z)=10,f_z(x,y,z)=3$

$g_x(x,y,z)=10x,g_y(x,y,z)=10y,g_z(x,y,z)=6z$

$\Delta f(x,y,z)=\lambda \Delta g(x,y,z)$

Therefore,

$10=\lambda 10x\implies x=\frac{1}{\lambda}$

$10=10y\lambda\implies y=\frac{1}{\lambda}$

$3=6z\lambda$

$z=\frac{1}{2\lambda}$

Substitute the values in g(x)

Then, we get

$\frac{5}{\lambda^2}+\frac{5}{\lambda^2}+\frac{3}{4\lambda^2}=43$

$\frac{20+20+3}{4\lambda^2}=43$

$\frac{43}{4\lambda^2}=43$

$\lambda^2=\frac{43}{4\times 43}$

$\lambda=\pm\frac{1}{2}$

When $\lambda=\frac{1}{2}$ then,

$x=2,y=2,z=1$

When $\lambda=-\frac{1}{2}$

Then, $x=-2,y=-2,z=-1$

$f(2,2,1)=10+10+3=23$

$f(-2,-2,-1)=-10-10-3=-23$

Hence, maximum value of f(x,y,z) is 23 at (2,2,1) and minimum value of f(x,y,z) is -23 at (-2,-2 ,-1).

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4 years ago

Tatiana had 20 followers on insta last week. now she has 16 followers. what is the percent of change?

Levart [38]

Answer:

20-16

4/16*100

=25%

Step-by-step explanation:

8 0

3 years ago

Help please I have a few minsssssss!!

Savatey [412]

Answer:

Step-by-step explanation:

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4 years ago