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Karolina [17]
3 years ago
13

How do you convert the general equation form of a circle to standard form? Answer correctly to get 20 points. Please provide an

example when explaining.
Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0

Answer:

Step-by-step explanation:

The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.

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The graph of an exponential function passes through (1, 10) and (4, 80). Find the function that describes the graph.
svetlana [45]

Answer:

  • y = 5*2ˣ

Step-by-step explanation:

<u>Exponential function:</u>

  • y = abˣ

<u>Ordered pairs given:</u>

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<u>Substitute x and y values to get below system:</u>

  • 10 = ab
  • 80 = ab⁴

<u>Divide the second equation by the first one and solve for b:</u>

  • 80/10 = b³
  • b³ = 8
  • b = ∛8
  • b = 2

<u>Use the first equation and find the value of a:</u>

  • 10 = a*2
  • a = 5

<u>The function is:</u>

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vovikov84 [41]
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A pastry recipe calls for 3 cups of flour to make 8 servings. How many cups of flour are needed to make 6 servings?
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Answer:

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A line with the highest absolute value of slope has the steepest graph

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