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zalisa [80]
3 years ago
11

What two numbers multiply to -120 and add to -2

Mathematics
1 answer:
USPshnik [31]3 years ago
5 0

Hello!

To answer this question we need to find the factors of -120.

The total set (both negative and postive! ) are the following:

  • 1, -120
  • 2, -60
  • 3, -40
  • 4, -30
  • 5, -24
  • 6, -20
  • 8, -15
  • 10, -12
  • 12, -10
  • 15, -8
  • 20, -6
  • 24, -5
  • 30, -4
  • 40, -3
  • 60, -2
  • 120, -1

After looking over all of these factors, we can see that 10 · -12 is equal to not only -120, but when the multiplication sign is replace by addition, it is equal to -2!

Hope this helps.


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What is the equation of the circle with center (4, 4) that passes through the point (10, 14)? HELP MEEEEE PLEASE
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Answer:

The equation of the circle can be written as:

  • \left(x-4\right)^2+\left(y-4\right)^2=136

Step-by-step explanation:

The general equation of a circle with center (h,k) and radius r is:

\left(x-h\right)^2+\left(y-k\right)^2=r^2

In our example, we know \left(h,k\right)=\left(4,4\right), as we just have to make sure we need determine \:r^2.

\left(x-4\right)^2+\left(y-4\right)^2=r^2\:\:

As the circle passes through (10, 14), that pair of values for x and y must satisfy the equation. So we have:

\left(10-4\right)^2+\left(14-4\right)^2=r^2

\mathrm{Switch\:sides}

r^2=\left(10-4\right)^2+\left(14-4\right)^2

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Thus the equation of the circle can be written as:

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