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tatiyna
2 years ago
8

Please answer it....

Mathematics
1 answer:
valentinak56 [21]2 years ago
4 0

The third ordered pair that satisfy the given equation is (123, 369).

The given parameters;

  • a^2 + b^2 = 10(123)^2
  • <em>First pair of the equation, = (39, 387)</em>
  • <em>Second pair of the equation = (201, 333).</em>

The third ordered pair of the equation can be determined by using general equation of a circle;

a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}

The radius of the circle is calculated as;

r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96

The value of a can be obtained by randomly choosing numbers less than the radius as values of b.

b < r\\\\b < 388.96

a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)

Thus, the third ordered pair that satisfy the given equation is (123, 369).

Learn more about equation of circle here: brainly.com/question/1506955

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lisabon 2012 [21]
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-7x + 2 = 9x - 14
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4 0
3 years ago
Read 2 more answers
Scaler factor of 1/2
olasank [31]

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<h3>What is dilation?</h3>

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Here, △ HIJ are:

IH = 3

IJ = 4

then using the scale factor = 1/2 we get

Therefore, we have:

I'H '= 1.5

I'J '= 2

Hence, dilation by a scale factor of 1/2 followed by a translation of 1.5 units down.

Learn more about this concept here:

brainly.com/question/1011146

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3 0
2 years ago
You need a 50% solution. On hand, you have a 200 mL of a 35% alcohol mixture. You also have 70% alcohol mixture. How much of the
CaHeK987 [17]

Answer:

150 mL

Step-by-step explanation:

We need a mixture that is at 50%, now we have 200 mL at 35% and another mixture that is at 70%, that is, we must calculate how much of this mixture is added, by the following equation

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150 mL must be added so that the mixture is 50%.

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3 years ago
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