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SOVA2 [1]
3 years ago
13

Write the equation of the line that contains the point (2,1) and is parallel to the line 4x−2y=3

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
8 0

Answer:

y=2x-3

Step-by-step explanation:

4x-2y=3

-2y=3-4x

2y=4x-3

y=4x/2-3/2

y=2x-1.5  m1=2 (the number near x)

If the searched line is parallel to the line 4x−2y=3, m1=m2= 2

y=m2x+b - the searched line

1=2*2+b

b=-3

y=2x-3

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The thickness X of aluminum sheets is distributed according to the probability density function f(x) = 450 (x2 - x) if 6 &lt; x
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Solution :

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                     $=\frac{1}{450} \int_6^{12} \ (x^3 - x^2) \ dx$

                     $=\frac{1}{450} \left[\frac{x^4}{4} - \frac{x^3}{3} \right]_6^{12} \ dx$

                     $=\frac{1}{450} \left[ \left(\frac{(12)^4}{4} - \frac{(12)^3}{3} \right) -  \left(\frac{(6)^4}{4} - \frac{(6)^3}{3} \right) $

                     $=\frac{1}{450} [4608 - 252]$

                    = 17.2857

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