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olasank [31]
3 years ago
8

Determine if the two figures are congruent and explain your answer.

Mathematics
1 answer:
Ne4ueva [31]3 years ago
7 0
They arent congruent when you look at the side lengths and area
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Simplify 6b2+7bc+2c2.
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A person has utility function u(x, y) = 100xy + x + 2y. Suppose that the price per unit of x is $2, and that the price per unit
Kazeer [188]

Answer:

x = 250

y = 125

u(x,y) = 3125500

Step-by-step explanation:

As given,

The utility function u(x, y) = 100xy + x + 2y

P_{x} = 2 , P_{y} = 4

Now,

Budget constraint -

P_{x} x + P_{y} y = 1000

⇒2x + 4y = 1000

So,

Let v(x, y) = 2x + 4y - 1000

Now,

By Lagrange Multiplier

Δu = Δv

⇒< 100y + 1, 100x + 2 > = < 2, 4 >

By comparing, e get

100y + 1 = 2         ........(1)

100x + 2 = 4        .........(2)

Divide equation (2) to equation (1) , we get

\frac{100y + 1}{100x + 2} = \frac{1}{2}

⇒2(100y+1) = 1(100x+2)

⇒200y + 2 = 100x + 2

⇒200y = 100x

⇒2y = x

Now,

As 2x + 4y = 1000

⇒2x + 2(2y) = 1000

⇒2x + 2x = 1000

⇒4x = 1000

⇒x = 250

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As 2y = x

⇒2y = 250

⇒y = \frac{250}{2} = 125

∴ we get

x = 250

y = 125

Now,

u(250, 125) = 100(250)(125) + 250 + 2(125)

                   = 3125000 + 250 + 250

                  = 3125000 + 500

                 = 3125500

⇒u(250, 125) = 3125500

3 0
3 years ago
Help me please thank you
neonofarm [45]

Answer:

C

Step-by-step explanation:

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3 years ago
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Help again please it's math i'll make you brainliest whoever answers first!!!!!!!!!
MrMuchimi

answer is A, if its not A then B

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