A video of the path of a ball thrown by a baseball player was analyzed with a grid covering the TV screen. The video was paused three times, and the position of the ball was measured each time. The coordinates obtained are shown in the table. (x and y are measured in feet.) Horizontal distance, x 15 30 Height, y 6.0 9.8 12.5 (a) Use a system of equations to find the equation of the parabola y = ax2 + bx + c that passes through the three points. Solve the system using matrices. (Round each coefficient to four decimal places.) y = (b) Use a graphing utility to graph the parabola.

Q: Write the equation (in standard form) of the parabolic arch formed in the foundation of the bridge…

A: here we have to find  the equation (in standard form) of the parabolic arch formed in the foundation…

Q: Zero Gravity. As part of their

A: Given, Altitude of the flight: Starting and ending altitude is:

Q: Write the vertex form equation of the parabola: vertex: (2, 2) directerix: x = -1

A: The vertex of the parabola is h, k=2, 2. The directrix is x=-1. The vertex is in the 1st quadrant…

Q: Find an equation of the parabola with vertex , −1−2 and focus , −5−2 .

A: Given information:The vertex of parabola is (1,2).The focus of parabola is (5,2)

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A:

Q: Write an equation for the parabola with axis horizonal, vertex on the y-axis, and containing the…

A:

Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =…

Q: Here we have a system of non-linear differential equations: x. = - sin x cos y, y. = sin x +…

A: Given, a system of non-linear differential equation :which has an equilibrium at .

Q: The surface of a mountain is modeled by the equation h(x, y) = 7500 – 0.001x2 - 0.004y2. A mountain…

A: Given the surface of a mountain is modeled by the equation h(x,y)=7500−0.001x2−0.004y2

Q: Write an equation of the parabola in vertex form that passes through (13, 8) and has vertex (3, 2).…

A:

Q: Draw the graphs of the equations x-y+1=0 and 3x+2y-12=0. Determine the co-ordinates of vertices of…

A:

Q: SCENARIO # 2 p: Pam works as a sales associate. q: Bryan has a temporary position in the office. r:…

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Q: Atoy train moves around a circular track, as represented by the figure below. Toy Train The path of…

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Q: Graph the parabola y=−x2−2x+8 by plotting the x- and y-intercepts. Move the key points to create the…

A:

Q: (A) Sketch a graph of the court with A at the origin of your coordinate system, C on the positive y…

A: Given:

Q: You work for a radio station with a broadcast radius of 100 miles. On a particular coordinate plane,…

A: Topic- equation of circle

Q: Find an equation of the parabola with vertex (2, −3) and focus (2, −7).

A: (a) The standard  equation of parabola  is           (x - h)2 = 4p (y - k), where the focus is (h, k…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.