A parabola is defined as being the locus of points P(x, y) that satisfy FP= MP, given coordinates F(5, 0) and where MP is the perpendicular distance from the point P(x, y) to the line with equation x =-5. The parabola has equation: A y = 20x B y = 5x y= 20x² D x² = 20y E y? = 4x

Q: Suppose a and b are positive numbers. Sketch the parabolas y2 = 4a2 - 4ax      and         y2 = 4b2…

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Q: Assume the equation of a parabola and a line are given by y = x² + 4x and y=x+4, respectively.…

A: To find out the intersection points of the given parabola and the line.

Q: a) What is the equation of a straight line that passes through (2,0) and has a gradient of -3 ? b)…

A: a) The given data is: x1,y1=2,0m=-3 To find the equation of the straight line.

Q: Consider the equation z = x² + y. (a) Describe the traces of the equation parallel to the xz-plane,…

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Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: Find the velocity of Zoe relative to the surface of the water.

A: The velocity of Zoe Vz is 3 km/hr to west. Velocity of the current Vc is 15km/hr to north. So, the…

Q: What is the equation of the line tangent to the hyperbola = 1 at the point (V2a, b)? y = -a+b 26 V26…

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Q: O Find the equation of the parabola that has its focus at (-4, 1) and its directrix x = 0.

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Q: Q,9. What point on the parabola y = v2x + 5 comes closest to the ori

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