True. In a parabola, any point on the curve is equidistant from the focus and the directrix. This means that while the distances to the focus and directrix are equal for points on the parabola, they are different distances from any point not on the parabola.
Nope. False.
Since it contains 2x^2, which means twice the square of x, its graph will be a parabola, as will all functions containing x squared, but no higher power.
True. An indirect measurement is indeed used to determine distances that cannot be easily measured directly, often through the use of mathematical calculations or principles such as similar triangles, trigonometry, or other geometric methods. This approach allows for the estimation of distances based on known measurements and relationships between different elements.
False
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false
FALSE. One of the definitions of a parabola, and also a means of drawing it, is that EVERY point on it is equidistant from the focus and the directrix.
i have no freakin idea
Certainly false for parabolae; a parabola is the locus of points in a plane which are equidistant from a point (the focus) and a line (the directrix) in that plane. It's also false for an ellipse, which is the locus of points in a plane where the sum of the distances from two other points in that plane (the foci) is constant. AND false for a hyperbola, which is the locus of points in a plane where the absolute value of the DIFFERENCE in the distance from two points in that plane (also the foci) is constant. Alternatively, a hyperbola is the locus of points in a plane where the ratio of the distance to one of the foci and to a line (the directrix) is constant (which is larger than 1; if it's exactly equal to 1, you get a parabola instead).All of these are only slightly more complicated than circles, and in fact they, alone with circles, are called "conic sections" because they all are formed by the intersection of a plane with a right circular conical surface.
Nope. False.
Since it contains 2x^2, which means twice the square of x, its graph will be a parabola, as will all functions containing x squared, but no higher power.
Lines of latitude are imaginary lines used to measure distances north and south of the Equator or 0 degrees.
False. Longitude lines are imaginary lines that measure distances east and west of the Prime Meridian. The lines that measure distances north and south of the equator are called latitude lines.
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True. An indirect measurement is indeed used to determine distances that cannot be easily measured directly, often through the use of mathematical calculations or principles such as similar triangles, trigonometry, or other geometric methods. This approach allows for the estimation of distances based on known measurements and relationships between different elements.
False
true