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Volgvan
2 years ago
5

What would the distance between the ordered pairs (-2,3) and (4,-6) be?

Mathematics
1 answer:
sergij07 [2.7K]2 years ago
7 0

Answer: 5.099

Step-by-step explanation:

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You need 3/4 cup of yogurt for one smoothie. Which picture shows how many cups of yogurt you nor 3 smoothies?
ziro4ka [17]

Answer:

2.25, or 2 1/4.

Step-by-step explanation:

3/4 x 3 = 2.25

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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)

with critical points where the partial derivatives vanish.

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

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

L_\lambda=x^2+y^2-9=0

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

\left(-\dfrac1{2\lambda}\right)^2+\left(-\dfrac2\lambda\right)^2=9\implies\lambda=\pm\dfrac{\sqrt{17}}6

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)

We get an absolute maximum of 3\sqrt{17}\approx12.369 at the second point, and an absolute minimum of -3\sqrt{17}\approx-12.369 at the first point.

4 0
2 years ago
A foam toy is 2 inches wide. It doubles in size for every minute it is in water. Write an expression for the width of the toy af
Solnce55 [7]

it would be 2(2^5), which is two times two to the fifth power. you take the original size and double it for every minute, which is like squaring it, but to the power of five, because it doubles once every minute for five minutes. i hope this makes sense!:)

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3 years ago
Helpppp Asapppp I’m timed
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Answer:

The answer is the last one.

Step-by-step explanation:

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Hope this helps :)

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Can anybody help me with this ?
BabaBlast [244]

Answer:

1st scenario: 163.3°

2nd scenario: 125.2°

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Step-by-step explanation:

1st scenario: angles 1 and 2 form a linear pair and add up to 180

2nd scenario: angles 1 and 4 are same-side interior and add up to 180

3rd scenario: angles 1 and 8 are corresponding and equal; if angle 7 is 37.7 then angle 8 is 142.3 (they form a linear pair). Since angles 1 and 8 are equal then angle 1 is also 142.3

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