Find an equation for the perpendicular bisector of the line segment whose endpoints are (2, 7) and (–6, 3).

Q: Give the distance between the two points (rounded to the nearest hundredth, if needed) and the exact…

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Q: Write the standard form of the equation of the circle with radius r and center (h, k). r = 9; (h, k)…

A: Standard equation of circle (X-h)2+(y-k)2= r2   Center (h, k)  Radius = r

Q: Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate…

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Q: Segment AB has one endpoint located at A (-5, 16) and its midpoint is located at R (1, -2). What are…

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Q: as the center of dilation. Point A(4, -9) is translated along the rule (x, y) - (x - 8. y+ 2). What…

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Q: D) Find JI 2x-6 J H. x+ 4

A: topic - coordinate geometry and linear equation in one variable

Q: What is an equation of the line that passes through the point (1,3) and is perpendicular to the line…

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Q: 3) Write an equation that is perpendicular to a line y 1/2 x +3 and passes through point (2, 3).

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Q: How do I verify that these points for a right triangle (4,0),(2,1),(-1,-5)

A: Given a triangle with points  A=(4,0) , B=(2,1) and C=(-1,-5)

Q: The coordinates of X are (11,-1) and Y are (5,2). Point X is the midpoint of YZ. What are the…

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Q: Equation for the line (3,8) and (6,4) in point slope form y=y0+ m(x-x0)

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Q: Point A (5,5) (-3,0) (-5, -10) Point B (-7, 10) (-8,-6) (-2,5) Distance between A and B 10…

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Q: Quadrilateral P(1,-2), Q(13,4), R(6,8) and S(-2,4) is a trapezoid. Find the slope of the two…

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Q: SHOW COMPLETE SOLUTION Find the points of intersection between the circle (x-2)²+(y-6)² = 40 and…

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Q: Please solve and show your work

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Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.