Are the points H and L collinear? U S E H.

Q: If PQ = 3y - 34 and PS = y, find PS in parallelogram QRST. R PS : ト

A: Given that PQ=3y-34 and PS=y in a parallelogram QRST To find the value of PS.

Q: 3Q: If z₁ = 1.5 cisand z₂ = 4 cis(-7) find and express it in the rectangular form.

A:

Q: Hiw.7Find a veetur hasFunit lengthandmake angjes O =31, R=64.° and of=lois with the main a xisi

A: The magnitude of the vector A=7 units and it makes angles θ=31°, β=64.6° and  α=106.6°

Q: Line segment t and line segment r are parallel. Both line segments are reflected across the y-axis…

A: We have to find the distance between line segments t' and r'

Q: The line whose equation is x-6y = 3 is rotated 120° about the origin. Find the equation of the image…

A: Here's the solutionExplanation: Solution:To find the equation of the image of the line x - 6y = 3…

Q: ombus D С-а, 0) B(0, -b) E.

A:

Q: A. Direction: In the given figure, draw tangent lines in each points A,B and C. y ==(x+4)3 + 4

A:

Q: I got a different answer. You had happened to make the y and z coordinates negative when defining…

A: Yes, it was mistakenly written the y and z coordinates as negative but at the time of substitution…

Q: What is the x-coordinate of every point that lies on avertical line through C?

A: The image shows the horizontal and the vertical lines.

Q: Plot the following points on the coordinate plane. You can use different colors of…

A: The given points are: M=(0, -3)B=(0, 4)S=(2, 0)Q=(-2, 5)

Q: Find the equation of the line passing through the point (7, 2) and perpendicular to the line 5y = 9…

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Q: 16. 7 in. 28 in. 3 in. 5 in. 4 in.

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Q: 3

A:

Q: -10 Directions: Drag the correct answer to each box. Given (1, -5) and (5, -3), what is the midpoint…

A: We will use the midpoint formula.Mid point of (x1,y1) and (x2,y2) is = x1+x22,y1+y22

Q: rotate the point (2,8) by the (3/5,4/5) about the origin (0,0). (3/5,4/5) is on the unit circle.

A: Given data, Point A(2,8)

Q: Solve (-1+1) using De Moivre's Theorem. Express final answer as rectangular form.

A: We need to use De Moivre's theorem to evaluate -1+i6 De Moivre's theorem is the following:…

Q: Define collinear points.

A: Define collinear points.

Q: determine line of reflection

A: We can determine the line of reflection in the below steps.

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.