Australian football in Australia, football by Australian rules is played in elliptical fields. The field can be maximum of 155 meters wide and a maximum of 185 meters long. Let the center of the field of maximum size be represented by the point (0,77.5). find the standard form of the equation that represents this field

Q: A point in the threedimensional coordinate system has coordinates             (x0, y0, z0). Describe…

A: When we have a three-dimensional space-XYZ. We take a point in the space that is represented by (x,…

Q: A quadratic surface has the equation x2+2y2+2z2+2yz = 1. Write the equation in standard form.…

A: To write the quadratic surface equation \( x^2 + 2y^2 + 2z^2 + 2yz = 1 \) in standard form and…

Q: Y² – 16X² + 64X – 208 = 0

A:

Q: Find the equation of the sphere that has the line segment joining (-1,-8,-6) and (-1,2,-6) as a…

A:

Q: What is the equation for a sphere centered at the point (4,-3,-7) with a radius of 5.

A: The general equation for a sphere in three dimensions is given by (x - h)^2 + (y - k)^2 + (z - l)^2…

Q: What are the two forms of the equation of a circle? Briey describe in words how you would go from…

A: Definition of a Circle   A circle is the set of all points in a plane equidistant from a fixed point…

Q: What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y + 18 = 0?…

A: Find your answer below

Q: Exercise 5. Find the equation of the circumference whose center is on the y-axis and that passes…

A: We have to Find the equation of the circumference whose center is on the y-axis and that passes…

Q: Determine an equation to represent the following parabola in intercept form

A: This question is about finding equation of curve by its points

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.