<span>X(x^2-6x+5)=12(x-5)
Distribute
x^3-6x^2+5x=12x-60
Simplify (minus 12x from both sides)
x^3-6x^2-7x=60
Factor X
x(x^2-6x-7)=60
Divide X from btoh sides
</span><span>(x^2-6x-7)=60/x
Simplify
X=7.861308
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Answer: (-1,1)
Step-by-step explanation:
<h3>Answer:</h3>
11.70 miles
<h3>Explanation:</h3>
The road from Springfield to Orangeville is apparently the hypotenuse of a right triangle whose legs are x and x+5. The value of x can be found from the Pythagorean theorem:
... 9² = x² + (x+5)²
... 2x² +10x -56 = 0 . . . . . . eliminate parentheses, collect terms, subtract 81.
... x² +5x -28 = 0 . . . . . . . . divide by 2 (because we can)
... x² +5x +6.25 = 28 +6.25 . . . . add 28, then add (5/2)² to complete the square
... (x +5/2) = √34.25 . . . . . . . .take the positive square root
... x = -2.5 +√34.25 ≈ 3.352
The total distance via the old road is the sum of the leg lengths:
... x + (x+5) = 2x +5 = 2(3.352) +5 = 11.704 . . . . miles
Answer:
its on the step by step
Step-by-step explanation:
V = π· r2· h
V = π· 10.502· 40
V =13854.4 cm3
67.5 divided by 11.25 equals 6 so you made 6 costumes