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BaLLatris [955]
3 years ago
6

Find the solution set for the open sentence with the given replacement set.

Mathematics
2 answers:
jeka57 [31]3 years ago
5 0

Answer:

6

Step-by-step explanation:

I just took the test rn

Artemon [7]3 years ago
4 0

We need to solve the equation: w² + 36 = 12w

⇒ w² - 12w + 36 = 0

⇒ w² - 6w - 6w + 36 = 0 (Breaking 6w such that their product is 9w²)

⇒ w × (w - 6) - 6 × (w - 6) = 0 (Extracting common factors)

⇒ (w - 6) × (w - 6) = 0

⇒ (w - 6)² = 0

⇒ w = 6

Hence, the correct answer is 6 which is the fourth option from the replacement set

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2| x-3| - 5 = 7 Helpp
klasskru [66]

Answer:

x = {9, -3}

Step-by-step explanation:

  • 2| x-3| - 5 = 7
  • 2| x-3|  = 12
  • | x-3| = 6
  • x - 3 = ± 6
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  • ⇒ x= 3 - 6= -3

Or it can be shown as:

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8 0
3 years ago
Read 2 more answers
A canoe traveled Downstream with the current and went a distance of 15 miles in three hours. On the return trip, the canoe trave
coldgirl [10]

Answer:

1 mile/hr

Step-by-step explanation:

Let the Speed of the boat still in water = a

Speed of the current = b

We know from this formula that speed = distance/time

Hence,

A canoe traveled Downstream with the current and went a distance of 15 miles in three hours.

Downstream = a + b = 15/3

a + b = 5 .........Equation 1

On the return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip.

Upstream = a - b = 15/5

a - b = 3 ..............Equation 2

Combining both Equation together

a + b = 5 .........Equation 1

a - b = 3 ..............Equation 2

Subtracting Equation 2 from Equation 1

2b = 2

b = 2/2

b = 1miles/hr

Since b = speed of the current which can also be called rate of the current, the rate of the current = 1 miles/hr

4 0
3 years ago
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