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user100 [1]
3 years ago
11

a street light is mounted at the top of a 15 ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 5 ft/s along

a straight path. How fast is the tip of his shadow moving when he is 40 ft from the pole

Mathematics
1 answer:
Virty [35]3 years ago
8 0
See attached. The trick is to use similar triangles.

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Which of the following are solutions to the equation below 3x^2+27x+54=0
VikaD [51]

Answer:x=6

Step-by-step explanation:Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18

Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is -9 .

-18 + -1 = -19

-9 + -2 = -11

-6 + -3 = -9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and -3

x2 - 6x - 3x - 18

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-6)

Add up the last 2 terms, pulling out common factors :

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Step-5 : Add up the four terms of step 4 :

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sergejj [24]

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Step-by-step explanation:


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Which are the solutions of x² = 19x + 12​
Sever21 [200]

Answer:

\{x=\frac{19-\sqrt{409} }{2}\ , \  x=\frac{19+\sqrt{409} }{2}\}

Step-by-step explanation:

x² = 19x + 12

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Calculating the discriminant :

b² - 4ac = (-19)² - 4×1×(-12) = 409

The discriminant is positive ,then the equation has two solutions.

x=\frac{19-\sqrt{409} }{2} \ \ or\ \ x=\frac{19+\sqrt{409} }{2}

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