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Hunter-Best [27]
3 years ago
8

Given the equation square root of quantity 2x minus 1 end quantity equals 7, solve for x and identify if it is an extraneous sol

ution.
one half; solution is extraneous
one half; solution is not extraneous
25; solution is extraneous
25; solution is not extraneous
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
7 0

Answer:

x=25  solution is not extraneous

Step-by-step explanation:

given, \sqrt{2x-1}=7

squaring both side we get,

2x-1=7^2

2x-1=49

2x=50

x=25  solution is not extraneous  answer

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Answer : The length of the wire is, 8533 cm

Step-by-step explanation :

As the iron sphere is beaten and drawn into a wire. That means, their volume will be equal.

Volume of iron sphere = Volume of cylindrical wire

The formula will be:

\frac{4}{3}\pi r_1^3=\pi r_2^2h

where,

r_1 = radius of sphere = \frac{Diamtere}{2}=\frac{8cm}{2}=4cm

r_2 = radius of cylindrical wire = \frac{Diamtere}{2}=\frac{2mm}{2}=1mm=0.1cm

h = height of cylindrical wire or length of wire

Now put all the given values in the above formula, we get:

\frac{4}{3}\pi r_1^3=\pi r_2^2h

\frac{4}{3}\times r_1^3=r_2^2h

\frac{4}{3}\times (4)^3=(0.1)^2h

h=8533.33cm\approx 8533cm

Therefore, the length of the wire is, 8533 cm

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