1.Which quadrant would ( x , y ) be located if -x > 0 and y > 0 ? 2. How many times would you need to use the Midpoint Formula in order to divide a line segment into 16 equal parts ?

Q: Find the distance from point (3, -9, 8) to x = -7. Answer:

A: topic- distance distance of point (3,-9,8)  to x=-7 is 10

Q: Find the coordinates of the point which divides the line segment connecting (-1,4) and (2,-3) into…

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Q: The distance d from P1=(2,-5) to P2=(4,-2) is d=..................

A: The given points as ordered pairs are  P1=(2,-5) and P2=(4,-2). As the coordinates of a point are…

Q: Find the distance from the point (1, −3, 6) to the x-axis.

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Q: circle. (2) PQ. A B 48

A: In the given circle we have to find the length of the chord PQ.AO = PO will be the radius.AB is the…

Q: . Plot each pair of points and compute the distance between them:(a) (1, 4) and (3, 2) (b) (2, 1)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: А 10 D 10 Т 22 11 E 11 В

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Q: Plot the following points: (3,1),(3,2),(3,3),(4,3),(−7,−7),(−3,−3),(−4,1),(0,0) 2. Find the…

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Q: Find the distance between the following two points: (0, -2) and (-5, -1) O 5 O 21 O 26 O 11

A: Distance formula: Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 −…

Q: Find the distance between the point (-4, 2) and the line 3x + 5y + 2 = 0. NOTE: Enter the exact…

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Q: Find the equation of the line through P = (13, 12) such that the triangle bounded by this line and…

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Q: 150 and b = - 80. Find the distance between a and b, d(a,b), when a = -

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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.