Answer:
x = -3
Step-by-step explanation:
5(x-2)+3x-4 = -38
=> 5x-10+3x-4 = -38
=> 5x+3x-10-4 = -38
=> 8x-14 = -38
=> 8x = -38+14
=> 8x = -24
=> x = -24/8
=> x = -3
The length of other leg is 60 units.
Step-by-step explanation:
Given,
Length of one leg = a = 45 units
Length of other leg = b
Length of hypotenuse = c = 75 units
Using pythagoras theorem

Taking square root on both sides

The length of other leg is 60 units.
Keywords: Pythagorean theorem, square root
Learn more about square root at:
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The equation is:
13.25h = 278.25
Solve for h in this case by dividing 278.25 by the 13.25 dollars per hour.
The answer will be:
21 hours
To simplify the expression stated, it is better to write it in the numerical form. The statement is:
<span>quantity 12 x plus 36 over quantity x squared minus 4 x minus 21
The numerical form is:
12x+36 / (x</span>²-4x-21)
Simplifying,
12x+36 / (x<span>²-4x-21)
</span>12 (x+3) / (x+3)(x-7)
We can cancel the x+3 term, leaving only:
12/(x-<span>7)</span>