Q: Suppose a constellation of stars is plotted on a coordinate plane. The coordinates of one star are (3 and ndash2). The star is translated down 5 units. What are its new coordinates?

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Yes. Suppose the point is P = (x, y). Its reflection, in the x-axis is Q = (x, -y) and then |PQ| = 2y.

101

All the numbers, I suppose!

6:30 i suppose

8.8317608663278468547640427269593

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You can only do so if the coordinate pair is other than the x intercept. Suppose the x intercept is A = (a, 0) and suppose the coordinate pair is R = (s, t) Then gradient = (t-0)/(s-a) = t/(s-a) Suppose P = (x, y) are the coordinates of any point on the line. Then gradient of PA = (y-0)/(x-a) = y/(x-a) The two gradients must be the same so t/(s-a) = y/(x-a) or y*(s-a) = t*(x-a) or y = t/(s-a)*x - ta/(s-a) which is of the form y = mx + c with m = t/(s-a) and c = -ta(/(s-a)

Translated into English, this means: "The opposite to 'day'". I suppose you can deduce the answer on your own.

"I guess" in French can be translated as "je suppose" or "je pense."

"I guess" in French can be translated as "Je suppose."

Suppose the radius is r and the bearings of the two points, P and Q are p and q respectively. Then the coordinates of P are [r*cos(p), r*sin(p)] and the coordinates of Q are [r*cos(q), r*sin(q)]. The distance between these two points can be found, using Pythagoras: d2 = (xq - xp)2 + (yq - yp)2 where xp is the x-coordinate of P, etc.

Suppose a quadrilateral is given using its vertex coordinates. It will be a triangle if three vertices are collinear, that is are on the same line.

To form an A-B-A-B-... hexagonal close packing of spheres, the coordinate points of the lattice will be the spheres' centers. Suppose, the goal is to fill a box with spheres according to hcp. The box would be placed on the x-y-z coordinate space.First form a row of spheres. The centers will all lie on a straight line. Their x-coordinate will vary by 2r since the distance between each center if the spheres are touching is 2r. The y-coordinate and z-coordinate will be the same. For simplicity, say that the balls are the first row and that their y- and z-coordinates are simply r, so that their surfaces rest on the zero-planes. Coordinates of the centers of the first row will look like (2r, r, r), (4r, r, r), (6r ,r, r), (8r ,r, r), ... . The sphere centered at x = 0 is immediately omitted because part of the sphere would lie outside.Now, form the next row of spheres. Again, the centers will all lie on a straight line with x-coordinate differences of 2r, but there will be a shift of distance r in the x-direction so that the center of every sphere in this row aligns with the x-coordinate of where two spheres touch in the first row. This allows the spheres of the new row to slide in closer to the first row until all spheres in the new row are touching two spheres of the first row. Since the new spheres touch two spheres, their centers form an equilateral triangle with those two neighbors' centers. The side lengths are all 2r, so the height or y-coordinate difference between the rows is . Thus, this row will have coordinates like this:

Spatial data, I suppose? Spatial data are physical or geographical locations in two or three dimensions, like the coordinates from a GPS unit.I suppose you could use the term in computer games as well - it means the same, just in reference to the virtual game world rather than the physical world.Non-spatial data is then all the rest, the data that are not coordinates.

The Samoan flag consists of a red base with a blue square in the top left corner. There are five white, five-pointed stars on the blue representing the constellation the Southern Cross, which is a prominent constellation of the southern hemisphere. So I suppose those are the Samoan colours.

"AmÃ©lia Mary Earhart" or so I suppose, because names are usually not translated.

this is a continuation of the question... AB=4, BC=6, AE=8, and BE intersects at D

Do you mean the "E" in the motto, E Pluribus Unum? It's usually translated as "From Many, One" so I suppose it must be Latin for "from".