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krok68 [10]
3 years ago
5

PLEASE HELP! Find the missing length. The triangles are similar.

Mathematics
2 answers:
Margarita [4]3 years ago
7 0

Answer:

D

Step-by-step explanation:

Find side RB (22)

55 - 33 = 22

create two ratios:

22/33 = ?/36

factor

36 x (22/33) = ?

? = 24

jeka57 [31]3 years ago
6 0

Answer:

The missing length would be 24.

First, you find the ratio of 55 to 33.

This gets you approximately 1.66666667

Multiply 36 by 1.66666667. This will get you 60.

60 - 36 = 24

The unknown value is 24.

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Local minima

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g(-1.368) = -9.90

Step-by-step explanation:

Let be g(x) = x^{4}-5\cdot x^{3}-14\cdot x^{2}. The determination of maxima and minima is done by using the First and Second Derivatives of the Function (First and Second Derivative Tests). First, the function can be rewritten algebraically as follows:

g(x) = x^{2}\cdot (x^{2}-5\cdot x -14)

Then, first and second derivatives of the function are, respectively:

First derivative

g'(x) = 2\cdot x \cdot (x^{2}-5\cdot x -14) + x^{2}\cdot (2\cdot x -5)

g'(x) = 2\cdot x^{3}-10\cdot x^{2}-28\cdot x +2\cdot x^{3}-5\cdot x^{2}

g'(x) = 4\cdot x^{3}-15\cdot x^{2}-28\cdot x

g'(x) = x\cdot (4\cdot x^{2}-15\cdot x -28)

Second derivative

g''(x) = 12\cdot x^{2}-30\cdot x -28

Now, let equalize the first derivative to solve and solve the resulting equation:

x\cdot (4\cdot x^{2}-15\cdot x -28) = 0

The second-order polynomial is now transform into a product of binomials with the help of factorization methods or by General Quadratic Formula. That is:

x\cdot (x-5.118)\cdot (x+1.368) = 0

The critical points are 0, 5.118 and -1.368.

Each critical point is evaluated at the second derivative expression:

x = 0

g''(0) = 12\cdot (0)^{2}-30\cdot (0) -28

g''(0) = -28

This value leads to a local maximum.

x = 5.118

g''(5.118) = 12\cdot (5.118)^{2}-30\cdot (5.118) -28

g''(5.118) = 132.787

This value leads to a local minimum.

x = -1.368

g''(-1.368) = 12\cdot (-1.368)^{2}-30\cdot (-1.368) -28

g''(-1.368) = 35.497

This value leads to a local minimum.

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Local maximum

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g(-1.368) = -9.90

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