For #2, you divide 2 on both sides which then cancels out the 2 and is written as, |x-1|=4 then you solve it from there just like how you did on #1. For the rest of some of your problems just do what you did for #1 and the problems with a number at the front.. example.( 1 |x+1| = 1 ).. All you have to do is divide both sides. Do not divide the inside of the box | |
Answer:
24.72 m
11.53 m
Step-by-step explanation:
Horizontal distance AB can be obtained from △ABC
From trigonometry :
Sin18° = opposite / hypotenus
Sin18° = AB / 80
AB = 0.3090169 * 80
AB = 24.72 m
The height BT, of tower from △ABT
From trigonometry :
Tan25° = opposite / Adjacent
Tan25° = h / 24.72m
h = Tan25 * 24.72
h = 11.527
h = 11.53 m
Hence, height of tower BT = 11.53 m
Answer: x = 87.582 , 11.148 .
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Explanation
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Given:
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50 + (x²/20) + (x/20) = 5x ; Solve for "x" ;
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→ First, let us multiply the entire equation (both sides) by "20" ; to get rid of the fractions ;
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20 * {50 + (x²/20) + (x/20) = 5x } ;
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to get:
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1000 + x² + x = 100x ;
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Subtract "x" from each side ;
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1000 + x² + x − x = 100x <span>− x ;
to get: 1000 + x</span>² = 99x ;
Rewrite as:
x² + 1000 = 99x ;
Subtract "99x" from each side of the equation:
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x² + 1000 − 99x = 99x − 99x ;
to get:
x² − 99x + 1000 = 0
This expression is written is "quadratic format" ; that is:
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" ax² + bx + c = 0 ; a ≠ 0 " ;
in which: a = 1 (implied coefficient of "1"; since anything multiplied by "1"; is that same value) ;
b = -99 ;
c = 1000 ;
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→ So, we can solve for "x" using the quadratic equation formula (since the expression cannot be factored):
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x = {- b ± √(b² <span>− 4ac) } / {2a} ;
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</span>Note: - b = - (-99) = 99 ;
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b² = (-99)² = 9801 .
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4ac = 4*a*c = 4*1*1000 = 4000 ;
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(b² − 4ac) = 9801 − 4000 = 5801
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√ (b² − 4ac) = √(5801) = 76.16429609731846
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2a = 2*a = 2*1 = 2
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Rewrite the quadratic formula:
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x = { - b ± √(b² − 4ac) } / {2a} ;
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→ x = (99 ± 76.16429609731846) / 2 ;
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And, with the "±" ; we have 2 (TWO) potential solutions:
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Case 1)
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→ x = (99 + 76.16429609731846) / 2 ;
= (175.16429609731846) / 2
= 87.58214804865923 ; →round to: 87.582 .
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Case 2)
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→ x = (99 − 76.16429609731846) / 2 ;
= (22.83570390268154) / 2 ;
= 11.41785195134077 ; round to: 11.418.
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Answer: x = 87.582 , 11.148 .
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Answer:
Terrance would take 4.2666 hours, Jesse would take 6.25 hours
Step-by-step explanation:
1h/12m per hour x 50m/1h is also 50m/12m per hour = 4.266 hours (round number)
1h/8m per hour is also 50m/8m per hour = 6.25 hours (round number)