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mars1129 [50]
3 years ago
11

Which equation is equivalent to (2x^2+4x-7)(x-3)

Mathematics
1 answer:
Rasek [7]3 years ago
5 0

Answer:

2 x^3 - 2 x^2 - 19 x + 21

Step-by-step explanation:

Expand the following:

(2 x^2 + 4 x - 7) (x - 3)

Hint: | Multiply out (x - 3) (2 x^2 + 4 x - 7).

| | 2 x^2 | + | 4 x | - | 7

| | | | x | - | 3

| | -6 x^2 | - | 12 x | + | 21

2 x^3 | + | 4 x^2 | - | 7 x | + | 0

2 x^3 | - | 2 x^2 | - | 19 x | + | 21:

Answer: 2 x^3 - 2 x^2 - 19 x + 21

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Step-by-step explanation:

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I_{corner} = \int\limits \int\limits_R (x^2+y^2)  \rho d A \\ \\ I_{corner} = \int\limits^a_0\int\limits^b_0 \rho(x^2+y^2) dy dx

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I_{corner} =  \rho \int\limits^a_0 {x^2y}+ \frac{y^3}{3} |^ {^ b}_{_0} \, dx

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Thus; the moment of inertia of the lamina about one corner is I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)

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