For what number c does the equation 7y+3c=9y+12-2y+3 have infinity many solutions for y
1 answer:
<h3>Answer: 5</h3>
Work Shown:
7y+3c=9y+12-2y+3
7y+3c=(9y-2y)+(12+3)
7y+3c=7y+15
3c=15
c = 15/3
c = 5
The steps above show that the y terms cancel. Solving for c leads to 5. If c is this value, then the original left and right hand sides are identical. Two sides being identical lead to infinitely many solutions. If , then there are no solutions for y.
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The length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is <em>approximately </em>25.88 feet.
The ladder forms a right triangle as it lies against the wall as shown in the image below.
<em><u>Thus:</u></em>
x = length of the ladder (hypothenuse)
Reference angle
25 ft = Opposite
Apply SOH:
<em>Thus</em>,
- Plug in the values
Therefore, the length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is <em>approximately </em>25.88 feet.
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