Reflect over the y-axis.

Q: Find the angle which the straight line y=/3x – 4 makes with the y-axis

A:

Q: Find the length of the curve. x = y^2/3, 1 … y … 8

A:

Q: Find the image of B(3, 1) reflected in the line y=-2.

A: Step 1: Find foot of perpendicular of B on given line. Step 2: Use mid point formula.

Q: ngent to the y axis and the center is

A: To determine the circle of equation tangent to y axis and center (5,8)

Q: Graph the line y y%3D +2 onto the coordinate plane below.

A:

Q: List the quadrant or quadrants y / x < 0 satisfying condition.

A:

Q: Draw the line y = 2.x + 1 and its image under reflection in the y-axis.

A: The given line is  y=2x+1 The slope of the line is 2, Y-intercept is 1,0 and X-intercept is -0.5,0.…

Q: List the quadrant or quadrants x3 >0 and y3 < 0 satisfying condition.

A:

Q: Find the point on the line y = 2x + 8 that is closest to the origin.

A:

Q: List the quadrant or quadrants satisfying the condition : x3 > 0 and y3 < 0

A: The given condition is x3>0 and y3<0.

Q: Find the point on the line  y = 4x + 3  that is closest to the origin

A:

Q: he circle is tangent to the y-axis and the center is at (-2,-8).

A:

Q: Find the standard form of the equation of the circle. Center (4, - 2) and tangent to the line x = 1

A: Center (4,- 2) and tangent to the line x=1we have to find equation of circle

Q: Did your image reflect over the x or y axis?

A: the given figure, we have to tell image reflect over the x -a xis or y-axis.

Q: Find an equation for the set of points equidistant from the point (0, 0, 2) and the x-axis.

A: To determine the equation for the set of the points.

Q: s reflected in the x-axis, then the

A:

Q: What will be the x-coordinate of Point C?

A: I have given an answer in step 2.

Q: List the quadrant or quadrants x3 <0 and y3>0 satisfying condition.

A:

Q: Reflect across the y-axis. R

A:

Q: find center verticals, foci and sketch its graph 2x2+3xy-4y2-3y+1=0

A: We are given : 2x2+3xy-4y2-3y+1=0 Plotting the graph, we have : This graph is a Hyperbola.

Q: about the y-axis

A:

Q: Find the midpoint between the two points A

A: To calculate the mid point,   X coordinate of the mid point is the half of sum of x coordinates of…

Q: Horizontal; containing the point (-3,2)

A: We have to find the equation

Q: find x and y intercept for y=square rood of 2x-1

A: given: y=2x-1

Q: What’s the y coordinate of point C?

A:

Q: Sketch c(t) = (t3 − 4t, t2)

A: This is in parametric form. So we will convert it in normal form.

Q: y = Vx, y = 0, and x = 81 is revolved about the line y = 9.

A:

Q: Find the point when the line y=-3x+8 that is closest to the origin.

A:

Q: Find the points on the curve y 13x closest to the point (0, 5). )and (

A: Topic:- point  on the curve

Q: calculate the Y coordinate to 2 significant digits

A: For point 1: r=3, θ=60o For point 2: r=4, θ=210o

Q: Reflect the point (5, 6) over the y-axis. A (5, 6) B (-5, -6) C (5,-6) D (-5, 6)

A: Consider the given point: 5,6 To mirror it about y-axis, we need to understand that while finding…

Q: Determine the points of intersection of y = x2 and y = x + 1.

A:

Q: How far from the vertex is the focus" .....

A:

Q: Find all points on the unit circle whose y-coordinate is

A: Equation of unit circle is : x2+y2 = 1 Given that y=3/8, we have to find x.

Q: y = 6x?, 1, and y 0, about the -axis.

A:

Q: Determine the length of the curve x = (y-1), where 4 <y <9.

A: Now differentiating given curve with respect to y, we get

Q: Find the midpoint of the line segment joining the points P1 and P2 . Equation: y3 = x + 1Points: (1,…

A: Given y3=x+1 Points: (1, 2); (0, 1); ( - 1, 0)

Q: Find the point on the line y=3x-10 that is closest to the origin.

A:

Q: Find the equation to the line below. 1 y : %3D Enter

A: Given the graph

Q: Find the length of the curve y= 2²-√√x, 4 ≤ x ≤9. 23/2 3

A: To find the length of the given curve.

Q: Find the points on the circle x^2+y^2=45 that are closest to and farthest from (1,2)

A:

Q: How do you solve this

A: Given that

Q: Reflect the figure across the y-axis. Which is most likely the new figure?

A:

Q: y = Vx – 1

A:

Q: Find the point on the y-axis that is equidistant from the points A(-4,-2) and B(3,1).

A: Given points (-4,-2) &amp; (3,1)Point on y-axis means x-coordinate is zero i.e.,point is (0,y)

Q: Find the point on the line  y = 5x + 2  that is closest to the origin.

A:

Q: Trace the curve r

A: we have to trace the curve r=12sinθcos3θ

Q: Find the standard form of the equation of the circle. Center ( - 1, 3) and tangent to the line y = 2

A: To find: The standard form of the equation of the circle. Given information: Center ( - 1, 3) and…

Q: reflect the point (2, -4) over the y-axis

A: If we reflect a point over the y-axis then the formula is: (x, y)→(-x, y) Here x=2 and y=-4

Q: Find the coordinates of the points that are 15 units away from the origin and have a y-coordinate…

A: Given y- coordinate = -12

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.