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How is position defined in two directions?
Position is defined using two coordinates: x for horizontal position and y for vertical position. The x-coordinate determines the position along the horizontal axis, while the y-coordinate determines the position along the vertical axis. Together, these coordinates pinpoint a specific location in two dimensions.
Work is defined as force times?
Work is defined as force times displacement in the direction of the force being applied. This means that work is a measure of how much force is used to move an object a certain distance. Mathematically, work is calculated as the product of force and distance: Work = Force x Distance.
Which of the following shows perpendicular lines W. X. Y. Z.?
Lines W and Y are perpendicular because they meet at a right angle. Lines X and Z are perpendicular because they meet at a right angle.
What is represented by the y intercept on a position and time graph?
The y-intercept of a position and time graph represents the position of the object at time zero. It indicates the initial position of the object when the time is zero.
What does the y intercept on a position vs time graph tell us?
The y-intercept on a position vs. time graph represents the initial position where the object started. It is the value of the position when time is zero.
What is the meaning of x and y intercepts?
The x-intercept is defined by where a line crosses the x-axis. The y-intercept is defined by where a line crosses the y-axis.
Why the graph of a polynomial function with real coefficients must have a y intercept but no x intercept?
A polynomial function is defined for all x, ranging from minus infinity to plus infinity. Since it is defined for all x, it is defined for x = 0 and this is the point where it intersects the y-axis which is called the y-intercept. It is possible, with suitable choice of coefficients that the function is always positive or always negative. In either case it will not cross the x-axis so that there is no x-intercept. However, it is not true to say that all polynomial functions with real coefficients do not have an x-intercept. In fact all polynomials of odd order (linear, cubic, quintic etc) will have at least one x-intercept.
How do you find a negative slope intercept of a vertical line?
A vertical line does not have a slope - negative or positive. It is not defined. A vertical line has no y intercept and, if its equation is x = c (for some number c), then the x-intercept is (c, 0).
What is the importance of the x-intercept?
What is the importance of the x-intercept What is the importance of the x-intercept What is the importance of the x-intercept
What is the slope intercept form of x equals 7?
The slope of the line x = 7 is not defined since the line is parallel to the y-axis. Also, for that reason, it cannot have an intercept on the y-axis. The equation of the line is simply: x = 7
Why the graph of a polynomial function with real coefficients must have a y-intercept but may have no x-intercept?
For a polynomial of the form y = p(x) (i.e., some polynomial function of x), having a y-intercept simply means that the polynomial is defined for x = 0 - and a polynomial is defined for any value of "x". As for the x-intercept: from left to right, a polynomial of even degree may come down, not quite reach zero, and then go back up again. A simple example is y = x2 + 1. Why is the situation for "x" and for "y" different? Well, the original equation is a polynomial in "x"; but if you solve for "x", you don't get a polynomial in "y".
Does a parabola have to have an x-intercept?
No, a parabola does not have to have an x-intercept. ex. -2(x-2)^2 - 4 is a parabola that has no x-intercept.
What is the x-intercept and the y-intercept of 4x-6y equals 12?
X-intercept=3 y-intercept=-2
What is the slope and y-intercept and x-intercept of y equals -x plus 1?
Slope is -1 y-intercept is 1 x-intercept is 1
What is the difference between the x- intercept and the y- intercept?
The y-intercept is where the line crosses the y-axis, and the x-intercept is where the line cross the x-axis
What is the slope of a line that has a y-intercept but no x-intercept?
A line with a y-intercept but no x-intercept will be a straight line parallel to the x axis. It will have a slope of zero.
What is the intercept for y equals x plus 10?
y - intercept = 10x - intercept = -10y- intercept: x = 0y = x + 10y = 0 + 10y = 10x - intercept: y = 0y = x + 100 = x + 10x + 10 = 0x = -10
