If a right angles triangle has 3 sides (x, x+1, 5) and then longest side is 5, what is x?
1 answer:
<h3>Answer:</h3>
x = 3
<h3>Explanation:</h3>The Pythagorean theorem tells you the relationship between the sides is ...
... x² + (x+1)² = 5²
... 2x² +2x +1 = 25
... x(x +1) = 12 . . . . . . subtract 1, divide by 2
We know that 12 = 3·4, so we can match values to the factors in the above equation to get ...
... x = 3
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You can solve by factoring, completing the square, graphing, the quadratic formula, or any other means you might devise to find that the solutions to the equation x² +x -12 = 0 are x = -4 and x = 3. In a geometry problem where x is a length, the solution x = -4 is extraneous.
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Answer:
Step-by-step explanation:
500m = profit on mid-sized cars
750s = profit on SUVs
500m + 750s = total profit
You have two conditions:
(1) 500m + 750s ≥ 3500
(2) m ≥ 2s
Let s = 2
Check condition (1)
500m + 750 × 2 ≥ 3500
500m + 1500 ≥ 3500
500m ≥ 2000
m ≥ 4
Check condition (2)
(2) m ≥ 2 × 2
m ≥ 4
Check:
500 × 4 + 750 × 2 ≥ 3500 4 ≥ 2 × 2
2000 + 1500 ≥ 3500 4 ≥ 4
3500 ≥ 3500
OK.