Answer: 18x2 + 69x + 65
Step-by-step explanation:
(3x + 5) (~6x + 13)
1. 3x(6x + 13) + 5(6x + 13)
2. 18x2 + 39x + 5(6x + 13)
3. 18x2 + 39x + 30 + 65
4. 18x2 + 69 + 65
Let L represent the ladder length, and x the distance the horiz. ladder reaches out from the wall. Then L = x + 3, where x is the distance of the bottom of the ladder from the wall when the top of the ladder is 9 ft. above the ground.
Consider the triangle formed by the hypotenuse (L, same as ladder length), the (vertical) side opposite the angle formed by the hypo. (with length 9 ft) and the horiz side (which we will call x). Then, according to the Pythagorean Theorem,
L^2 = x^2 + 9^2. But L = x + 3, and L^2 = x^2 + 6x + 9 = x^2 + 9^2. Solving this equation results in x=3. 6x + 9 = 9^2, or
6x + 9 = 81
6x = 72
x = 12
But L = x+3. So L=12+3, or L = 15 (feet).
Answer:
The answer is option A
Step-by-step explanation:
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Using the rules of indices
That's
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Simplify the expression
We have
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Again using the rules of indices
That's
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The final answer is
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Hope this helps you
So simple... 3\ll=27\100 which equals 27.0 or 0.27
