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Nat2105 [25]
2 years ago
7

50 PTS BRAINLIEST

Mathematics
2 answers:
Montano1993 [528]2 years ago
4 0

Answer:

it has 5 hopefully this helps you with work

blsea [12.9K]2 years ago
3 0

Answer:

  • No solutions

Step-by-step explanation:

<u>Given lines:</u>

  • y = 2/3x-2
  • y = 2/3x+5

These have same slopes of 2/3 and therefore are parallel, so no intersection. There is no solution if lines don't intersect.

The graph is attached as well to show lines are parallel.

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The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.
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Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: (x-3)^{2}  + (y+2)^{2}  = 25

Now, comparing it with the general equation of circle: (x-h)^{2}  + (y -k)^{2}  = r^2

we get the central coordinates (h,k)  = (3,-2)

So, the slope of the line joining center and (8, -2) = \frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = \frac{-1}{0}

Now, by point slope formula: the equation of the tangent is

(y-y0)  = m (x-x0)

or, (y +2) = \frac{-1}{0} (x -8)

or x =8 is the equation of the tangent.

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Step-by-step explanation:

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