Please answer within 7 minutes !!

Mathematics

1 answer:

Gnesinka [82]2 years ago

3 0

Step-by-step explanation:

x = by - 3/2

x + 3/2 = by

y = x/b + 3/(2b)

now compare this to the first equation :

y = 2x + 3

the system has infinite solutions, if both equations are actually identical.

and they are only identical, if b = 1/2

y = x/(1/2) + 3/(2 × 1/2) = 2x + 3

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Step-by-step explanation:

$\to R= 828\\\\\to F_1= 401\\\\\to F_2=477\\\\\to \bold{R=\sqrt{F_1^2+F_2^2+2F_1F_2 \cos \theta}}$

$828=\sqrt{401^2+477^2+2 \times 401 \times 477 \cos \theta}\\\\828=\sqrt{160801+227529+382554 \cos \theta}\\\\828=\sqrt{388330+382554 \cos \theta}\\\\$

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$(828)^2=(\sqrt{388330+382554 \cos \theta})^2\\\\$

$685584 =388330+382554 \cos \theta\\\\685584 -388330=382554 \cos \theta\\\\297254=382554 \cos \theta\\\\\cos \theta=\frac{297254}{382554}\\\\\cos \theta=0.777025\\\\\theta= \cos^{-1} 0.777025\\\\\theta= 39.01^{\circ}$