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tankabanditka [31]

3 years ago

8

Line 'L' is horizontal and passes through (-5,8). Line 'L is vertical and passes through $(4,-1)$. Find the point of intersectio

n of $\ell_1$ and $\ell_2$.

2 answers:

Firlakuza [10]3 years ago

8 0

Answer:

The two lines intersect at (4,8).

Elanso [62]3 years ago

4 0

<h3>The two lines intersect at (4,8)</h3>

Every y coordinate on the horizontal line is the same, so each point has a y coordinate of y = 8. This is to be able to pass through (-5,8)

Every x coordinate on the vertical line is the same, so each point has an x coordinate of x = 4. This is to be able to pass through (4,-1)

Put this together to get the answer (x,y) = (4,8)

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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

There are 24 students in the class. They had the choice to buy supplies from two different stores, Store A and B. Each of them b

NeX [460]

Answer:

Step-by-step explanation:

There's 24 students so I would do 5 × 24 which equals 120 so 420 - 120 is 300. Then 2 × 24 is 48. Now 300-48 is 252. They would have $252 left.

3 0

3 years ago

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Ludmilka [50]

You would circle the 3 in 31, the 9 in 94, and the 1 in 17

3 0

3 years ago

Read 2 more answers

Can you help me please

Olin [163]

Answer:

(2,1)

Step-by-step explanation:

3 0

3 years ago

Express your answer as a polynomial in standard form.

lana [24]

9514 1404 393

Answer:

f(g(x)) = -3x^2 -2x -3

Step-by-step explanation:

<u>Given</u>:

f(x) = -x-7

g(x) = 3x^2 +2x -4

<u>Find</u>:

f(g(x))

<u>Solution</u>:

Substitute per the function definitions.

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7 0

3 years ago