what is the difference between rectangular and polar coordinates?
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Rectangular coordinates, or cartesian coordinates, come in the form (x,y). ... Polar coordinates, on the other hand, come in the form (r,θ). Instead of moving out from the origin using horizontal and vertical lines, we instead pick the angle θ, which is the direction, and then move out from the origin a certain distance r.
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Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.
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Grid references are between the lines which make it look like a maths square that has numbers. The difference between grid references and coordinates is that coordinates are where the lines meet and grid references are in between the lines. ... We know you say the horizontal line first and the vertical line after.
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GPS (global positioning system) coordinates are usually expressed as the combination of latitude and longitude. Latitude is a measure of degrees of distance from the equator, which is 0 degrees. The north and south poles are at 90 degrees in either direction.
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When you are graphing inequalities, you will graph the ordinary linear functions just like we done before. The difference is that the solution to the inequality is not the drawn line but the area of the coordinate plane that satisfies the inequality. The boundary line is dashed for > and < and solid for ≥ and ≤.
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To add complex numbers in rectangular form, add the real components and add the imaginary components. Subtraction is similar. To multiply complex numbers in polar form, multiply the magnitudes and add the angles. To divide, divide the magnitudes and subtract one angle from the other.
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In a rectangle, all the angles are equal and equal to 90 degrees. The diagonals of a rectangle are equal which is not equal in case of a parallelogram. In a parallelogram, diagonals are just bisectors, in a rhombus diagonal are perpendicular bisectors. The diagonals of a rectangle are congruent.
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['four sides (edges)', 'four vertices (corners)', 'interior angles that add to 360 degrees:']
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Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the hypotenuse , while cos(θ) is the ratio of the adjacent side to the hypotenuse . No matter the size of the triangle, the values of sin(θ) and cos(θ) are the same for a given θ, as illustrated below.
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In either case, the vertex is a turning point on the graph. The graph is also symmetric with a vertical line drawn through the vertex, called the axis of symmetry. The y -intercept is the point at which the parabola crosses the y -axis. The x -intercepts are the points at which the parabola crosses the x -axis.
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Answered November 3, 2014. They are variables, unknown numbers. Often they are used to refer to axes on the Cartesian plane with x being horizontal and y being vertical. It is worth noting, however, that this is just classical standard notation and really any letter/symbol can be used as a variable.
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Horizontal lines go left and right and are in the form of y = b where b represents the y intercept. Vertical lines go up and down and are in the form of x = a where a represents the shared x coordinate of all points.
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In summary, a quadrilateral is any four-sided shape. A parallelogram is a four-sided shape with opposite sides that are both parallel and equal in length.
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For an angle in the second quadrant the point P has negative x coordinate and positive y coordinate. Therefore: In Quadrant II, cos(θ) < 0, sin(θ) > 0 and tan(θ) < 0 (Sine positive). ... The quadrants in which cosine, sine and tangent are positive are often remembered using a favorite mnemonic.
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['Corresponding sides are proportional. That is, the ratios of the corresponding sides are equal.', 'Corresponding angles are equal.']
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If we have three vectors that are linearly dependent, they are coplanar. This simply means that the third vector can be expressed as a linear combination of the other two. If we have more than two coordinates, the above still holds. Three linearly dependent vectors are always coplanar.
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The main difference between Hexagon and Quadrilateral is that the Hexagon is a polygon with six sides and Quadrilateral is a polygon with four sides.