= -1 + 5x
a vetical line has an undifined rate of change
"Circle". That "same distance" is the radius of the circle, and that "given point" is the center of the circle.
A system of equations has infinitely many solutions when the equations represent the same line or plane in a coordinate space, meaning they are dependent and consistent. This typically occurs when one equation can be derived from the other through multiplication or addition of constants. In graphical terms, the lines or planes coincide, leading to an infinite number of intersection points.
Technically, yes. But, the equations involved are complicated to the point that it would be a fraction of the difficulty of converting. Also, the equations are essentially the Cartesian equations with the conversions built in, so you might as well convert them to start with. However, if you insist on not converting, write out the entire process with all 4 points of interest in Cartesian coordinates. From beginning to end. Find the final equations needed and insert the conversion factors and simplify from there. To the best of my knowledge (and I did quite a bit of digging) there isn't a simply way of doing it. - Sorry.
(The set of all points equidistant from the two sides of the angle. :)
The set of all points in a plane at a given distance from a given point.clock
Which of the following best describes the solution to the system of equations below?3x + 6y = 10 9x + 18y = 30
An "inconsistent" set of equations. If they are all linear equations then the matrix of coefficients is singular.
The set of all points in a plane that are equidistant from the two sides of a given angle
Equations provide a mathematical model of how the universe works.
a vetical line has an undifined rate of change
"Circle". That "same distance" is the radius of the circle, and that "given point" is the center of the circle.
A system of equations has infinitely many solutions when the equations represent the same line or plane in a coordinate space, meaning they are dependent and consistent. This typically occurs when one equation can be derived from the other through multiplication or addition of constants. In graphical terms, the lines or planes coincide, leading to an infinite number of intersection points.
Technically, yes. But, the equations involved are complicated to the point that it would be a fraction of the difficulty of converting. Also, the equations are essentially the Cartesian equations with the conversions built in, so you might as well convert them to start with. However, if you insist on not converting, write out the entire process with all 4 points of interest in Cartesian coordinates. From beginning to end. Find the final equations needed and insert the conversion factors and simplify from there. To the best of my knowledge (and I did quite a bit of digging) there isn't a simply way of doing it. - Sorry.
Given a straight line (a directrix) and a point (the focus) which is not on that line, a parabola is locus of all points whose distance form the directrix is the same as its distance from the focus.
points on an axis connected to form a line
Points on an axis connected to form a line