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Hoochie [10]
3 years ago
6

Sabrina threw a coin from a building 160 feet high at an initial speed of 30 feet per second. How many seconds will it take the

coin to hit the ground?
A. 4.2
B. 4.8
C. 11.1
D. 13.9
Mathematics
1 answer:
aev [14]3 years ago
6 0
B. 4.8 but i think it should be 5.3 not 4.8 but the most logic is b
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PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION
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<u>Solution</u><u>:</u>

\sqrt{4x + 13}  = x + 2

  • First square both sides.

=  > ( \sqrt{4x + 13} ) ^{2}  = (x + 2) ^{2}

  • Now, square root and square gets cancel out in the LHS. And in the RHS, apply the identity: (a + b)² = a² + 2ab + b².

=  > 4x + 13 =  {(x)}^{2}  + 2 \times x \times 2 + (2) ^{2} \\  =  > 4x + 13 =  {x}^{2}   + 4x + 4

  • Now, transpose 4x and 4 to LHS.

=  > 4x - 4x + 13 - 4 =  {x}^{2}  \\

  • Now, do the addition and subtraction.

=  >  {x}^{2}  = 9 \\  =  >  x =  \sqrt{9}  \\  =  > x = ±3

<u>Answer</u><u>:</u>

<u>x </u><u>=</u><u> </u><u>±</u><u> </u><u>3</u>

Hope you could understand.

If you have any query, feel free to ask.

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