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pashok25 [27]
3 years ago
5

Solve 20x+ 5y = 15 for y.

Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0

20x+ 5y = 15

Move 20x to the other side. Sign changes from +20x to -20x

20x-20x+5y=-20x+15

5y=-20x+15

Divide both sides by 5

5y/5=y ( Cross out 5 and 5, divide by 5, 1*1*y=y)

-20/5=-4x

15/5=3

y=-4x+3 or y=3-4x

Answer: y=-4x+3 or y=3-4x

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<h3>Refer to the diagram below</h3>
  1. Draw one smaller circle inside another larger circle. Make sure the circle's edges do not touch in any way. Based on this diagram, you can see that any tangent of the smaller circle cannot possibly intersect the larger circle at exactly one location (hence that inner circle tangent cannot be a tangent to the larger circle). So that's why there are no common tangents in this situation.
  2. Start with the drawing made in problem 1. Move the smaller circle so that it's now touching the larger circle at exactly one point. Make sure the smaller circle is completely inside the larger one. They both share a common point of tangency and therefore share a common single tangent line.
  3. Start with the drawing made for problem 2. Move the smaller circle so that it's partially outside the larger circle. This will allow for two different common tangents to form.
  4. Start with the drawing made for problem 3. Move the smaller circle so that it's completely outside the larger circle, but have the circles touch at exactly one point. This will allow for an internal common tangent plus two extra external common tangents.
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