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Usimov [2.4K]
4 years ago
9

Solving quadratics equations by taking square root

Mathematics
1 answer:
Novay_Z [31]4 years ago
4 0
#6
x^2 = 1
x = - 1 and x = + 1

#7
a^2 + 1 = 19
a^2 =18
a^2 =√ 9 <span>√ 2
a = + 3</span>√ 2 and a = - 3<span>√ 2</span>
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A piece of wire measuring 20 feet is attached to a telephone pole as a guy wire. The distance along the ground from the bottom o
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Answer: Height at which the wire is attached to the pole is 12 feet.

Explanation:

Since we have given that

Length of the wire = 20 feet

Let the height at which wire is attached to the pole be h

and distance along the ground from the bottom of the pole to the end of the wire be x+4

Now, it forms  a right angle triangle so, we can apply "Pythagorus theorem".

H^2=B^2+P^2\\\\20^2=x^2+(x+4)^2\\\\400=x^2+x^2+8x+16\\\\400=2x^2+8x+16\\\\400=2(x^2+4x+8)\\\\200=x^2+4x+8\\\\x^2+4x-192=0\\\\x^2+16x-12x-192=0\\\\x(x+16)-12(x+16)=0\\\\(x+16)(x-12)=0\\\\x=-16\ and\ 12

But height cant be negative so, height will be 12 feet.

Hence, height at which the wire is attached to the pole is 12 feet.


8 0
3 years ago
Your friend earns $10.50 per hour. This is 125% of her hourly wage last year. How much did your friend earn per hour last year?
Mrac [35]
I believe it is 8.40
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George has $3.71 in pennies,nickels dimes and quarters in his pocket. He has twice as many dimes as nickels, two more nickels th
FromTheMoon [43]
<span>pennies = 0.01 $
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</span>
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Answer:

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Step-by-step explanation:

hope you get it right! ^^

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