The amount of energy needed to increase the radius of orbit of a 500-kg satellite from its original orbit r-10 000` of radius 10 000 km can be modelled by the function E = 2×100 where E is the energy, in r Joules, and r is the new radius, in kilometers. a) Determine x-intercept(s) if it exists. b) Determine y-intercept(s) if it exists. c) Determine the equations of the horizontal asymptote if it exists. d) Determine the equations of the vertical asymptote(s) if it exists.

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A: We have to find equations of both lines through the point (2 , -3) that are tangent to the parabola…

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A: Given: y=x2

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A:

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A: y2=12x  ⇒  4a=12                     a=3

Q: Find equations of both lines through the point (2, –3) that are tangent to the parabola y = x2 + x.

A:

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A: please see the next step for solution

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Q: Draw a diagram to show that there are two tangent lines to the parabola y = x 2   that pass through…

A: Explanation: Given that,                     Assume that, point of tangency is (a, a2). Slope of…

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A:

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A:

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A:

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A:

Q: The slope of the tangent line to the parabola y = 4x? + 7x + 2 at the point (– 4, 38) is: The…

A: Equation of parabola,  y = 4x2 + 7x + 2 Given point is (-4, 38)

Q: Y = ce" || if the angles of the intersection are 7 radians.

A:

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A: topic - equation of tangent to curve

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A:

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A:

Q: an equation for line L in point-s erpendicular to y 5x. 6Ty=5x (1,5) 2- -4 -2 4 6 2.

A: We will solve the problem

Q: Find equations of both lines through the point (2, −3) that are tangent to the parabola y = x2 + x.

A:

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Q: 6 8 10

A: if this line is tangent then in this triangle we  can use pythagorean theorem C

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A:

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A:

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Q: Rule: (x, y) → ( Reflection: Across Line y = x

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A:

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A:

Q: Find the distance between the line x + y + 2 = 0 and the point (1, 1).

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Q: Draw a diagram to show that there are two tangent lines to the parabola of y = x? that pass through…

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A: Since you have asked multiple questions in a single request, we would be answering only the first…

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A:

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A: Explanation of the answer is as follows

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.