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3 years ago

One factor of 7x2 + 33x – 10 is

Mathematics

1 answer:

stiv31 [10]3 years ago

6 0

$7x^{2} +33x-10=0$

$\implies 7x^{2} +35x-2x-10=0\\\implies7x(x+5)-2(x+5)=0\\\implies (7x-2)(x+5)=0$

$7x - 2 = 0\\\implies \boxed{\bold{x = \frac{2}{7} }}$

$x+5=0\\\implies \boxed{\bold{x=-5}}$

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A square steel bar has a length of 5.1 ft and a 2.7 in by 2.7 in cross section and is subjected to axial tension. The final leng

Andrej [43]

Answer:

The Poisson's ratio for the material is 0.0134.

Step-by-step explanation:

The Poisson's ratio ( $\nu$ ), no unit, is the ratio of transversal strain ( $\epsilon_{t}$ ), in inches, to axial strain ( $\epsilon_{a}$ ), in inches:

$\nu = -\frac{\epsilon_{t}}{\epsilon_{a}}$ (1)

$\epsilon_{a} = l_{a,f}-l_{a,o}$ (2)

$\epsilon_{t} = l_{t,f}-l_{t,o}$ (3)

Where:

$l_{a,o}$ - Initial axial length, in inches.

$l_{a,f}$ - Final axial length, in inches.

$l_{t,o}$ - Initial transversal length, in inches.

$l_{t,f}$ - Final transversal length, in inches.

If we know that $l_{a,o} = 61.2\,in$ , $l_{a,f} = 61.235\,in$ , $l_{t,o} = 2.7\,in$ and $l_{t,f} = 2.69953\,in$ , then the Poisson's ratio is:

$\epsilon_{a} = 61.235\,in - 61.2\,in$

$\epsilon_{a} = 0.035\,in$

$\epsilon_{t} = 2.69953\,in - 2.7\,in$

$\epsilon_{t} = -4.7\times 10^{-4}\,in$

$\nu = - \frac{(-4.7\times 10^{-4}\,in)}{0.035\,in}$

$\nu = 0.0134$

The Poisson's ratio for the material is 0.0134.

7 0

3 years ago

what is the area of a circle with a diameter of 4.2 centimeters? us 3.14 for pi. round your answer to the nearest tenth.

emmainna [20.7K]

Circle Area = PI * radius^2
radius = 2.1
Circle Area = 3.14 * 2.1^2
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3 years ago

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Oksanka [162]

Hello!

I believe there are a total of 12 possible outcomes for this problem. Using simple math, you can just multiply 4 by 3 to get 12 possible outcomes but you can also get 12 outcomes by looking at the fact that since there are 3 plans in each of the 4 models, there are 12 ways that this could play out.

I hope this helps!

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3 years ago

Image point B'(4, -8) was transformed using the translation (x-2, y + 3). What were the coordinates of B?

DaniilM [7]

Answer:

B(6 , -11)

Step-by-step explanation:

(x-2 , y+3) = (4 , -8)

Compare the x & y co ordinates

x - 2 = 4 ; y + 3 = -8

x = 4 +2 ; y = -8 - 3

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3 years ago

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Irina18 [472]

Answer:

x = -2.

Step-by-step explanation:

In this case, a is 1, b is 4 and c is 4.

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x = -2.

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3 years ago