B)Graph the two equations and fnd the points in which graphs intersect x + y = 0, y = -(x – 1)² UNIVERSITY

Q: An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the…

A: Solution: Let the point P(x,y) is the position of Ant and given that the distance from P(x,y) to…

Q: Find the equation of the line perpendicular to the line x + y = 2 and containing the point (4, -3).…

A:

Q: Haw Find the equation for the Line that Pafps through Point ( 2, 1) and Pamllel to the Line 2x+y=-1

A: we are given a equation and a point. 2x+y=-1, (2,1)

Q: A straight conncecting street segment is built perpendicular to an existing street with equation y =…

A:

Q: Point T (* 0) -2+

A: Graph of the function is given, we have to find the coordinate of the point T.

Q: find all the points having an x-coordinate of 1 whose distance from the point (-3,-1) is 5.

A: Suppose that the points are of the form (x, y) where given that x = 1. So, the points are (1, y).

Q: A straight connecting street segment is built perpendicular to an existing street with equation y…

A: Given,            y = 27x + 3 and point =-1, -0.2

Q: The equation of the line tangnet to the graph of 24e^x at x=2?

A: Find the derivative of the given function.

Q: An object is traveling along a path described by y = x + 3. Where along that path will the object be…

A:

Q: Find the equation of the line parallel to the line y = 2x + 1and containing the point 13, 52.…

A: The slopes of two parallel lines are equal. Slope-intercept form of equation of a line is y=mx+c. In…

Q: Find all points having a y-coordinate of - 3 whose distance from the point   (1, 2) is 13.

A: Consider the points are A = (x,-3) and B=(1,2) The distance between A and B is 13 units.   If the…

Q: Imeter) Y ( meter) POINT 1 1254,72 2951,76 2 1362,50 3205,13 3 1578,94 3713,80 4 1843,68 4335,92

A: A table of data is given, and the general equation of a line is y=ax+b. Here, a is the slope, and b…

Q: Suppose that a line passes through the points (-6, 6) and (3, – 1). Where will it pass through the…

A:

Q: Pam walks along a road which can be modeled by the equation y 3x, where (0, 0) represents her…

A:

Q: Parallel to y= -2x, passing through (0,1)

A: Required the equation of the straight line satisfying the given conditions

Q: Find the distance between A(2, -3) and the line L:3x - 4y + 2 = 0. Show your complete solution and…

A:

Q: Which point on the graph of the line y = 3x² has the minimum distance between the graph and the…

A: according to question, the points (x,y) on the graph are of the form (x,3x2).if D is the distance…

Q: Find all points having an x coordinate of 3 whose distance from the point (-1,-6) is 5

A:

Q: Find the equation to the locus of a point such that its distance from the point (3,0) is three times…

A:

Q: Determine the equation of the line having slope 6/1 and passing through the point (6,-6). Express…

A: We use point slope formula: y-y1=m (x-x1).

Q: The point that is symmetric with respect to the x-axis to the point (2,-5) is _____.

A: The point that is symmetric with respect to the x axis to the point (2,-5) is be found with the help…

Q: The point that is symmetric with respect to the y-axis to the point ( - 2, 5) is__________

A: It is known that the graph of y=fx is symmetric with respect to y-axis means f-x=fx=y.

Q: 2. Find the equation of line pass through the origin and parallel the line with equation y = 2.

A: Point (0,0), equation, y=2

Q: 4 Construct line AB whose equation is given: y =-,+5 %3D Graph the y-intercept first; then graph a…

A: Giveny=-43x+5

Q: Find an equation of the vertical line with the given property. Passes through the point (−7, 9)

A:

Q: 8. In general, if the line y = mx + b is rotated 90° about a point (x, mx + b), explain how you can…

A:

Q: Find the equation of the line parallel to the line y=2x+1 and containing the point (3,5) . Express…

A: Given line,   y = 2x + 1 slope-intercept form, y = mx + c slope of the given line, m1 = 2 A line…

Q: 5. Żyan located a point at (-3, 0). Which axis is the point touching?

A:

Q: Which of the following is an equation of thevertical line through (–2, 4)?

A:

Q: Find an equation for the set of all points (r, y, z) equidistant from point 10.) (1,0, 2) and the…

A:

Q: Which is an equation with a degree of 4, zeros located at (4,0) and (3,0) and a y-intercept located…

A: Given that zeros are located at (4,0) and (3,0). So corresponding factors are (x-4) and (x-3)…

Q: 4 Determine whether the straight air routes with equations x-=-3 and x =-5 are 2 intersecting or…

A: Given,  The equation of the straight lines are x - y/2 = -3  and x = -5

Q: The 3 lines x = 3, y – 2.5 = --(x – 0.5), and y – 2.5 = x – 3.5 intersect at point P. Find the…

A:

Q: Give the equation of the graph obtained from y = 3sin πx by applying the translation (–1, –2).   Can…

A: First, we apply the horizontal shift -1. This means the graph moved 1 unit left. For c units left…

Q: 2 Graph the line through the point (1, –2) having the slope 3

A: Follow the procedure given below.

Q: 13) wnich of the folowinngis a ualid equation that can be used to Solue for xin the diagram ! 40° GO…

A: In this question we need to find a value of x

Q: 1 What is the image of the point (-4, -2) after the reflection over the line y = - x- 1?

A: follow next step

Q: Which of these points is closest to the point (7,1)?

A:

Q: 7 ) Find the equation of line L through the point 5,,5 intersecting at right angle the 2 line M with…

A:

Q: 19. Find the point on the line y= 2x + 3 that is closest to the origin.

A:

Q: Find the coordinates of the point graph of y = Vx that is closest to the point (4, 0). Write the…

A: Given: y=x

Q: Find the coordinates of the image. Ry-axis (S) -3 -3- th

A: From the graph given point S is at (3,6) Now reflect the point S across y axis For reflection across…

Q: The equation of the line with slope −1 that goes through the point (−4,−4) can be written in the…

A:

Q: A ball sits on the point (1,1) and touches the f(x,y)=5-(x^2+y^2). In which direction graph of will…

A: Here is the solution of the given problem.

Q: .Which equation represents the line that passes through the point (5, 7) and is parallel to the…

A:

Q: At point (1,y), what is y?

A: Note:- If two points is given in Cartesian form like  (2,5)  Then  x=2 and y=5 Means first one is…

Q: distance

A:

Q: An object is traveling along a path described by y =x +3. Where along that path will the object be…

A: Given: An object is travelling along a path described by y=x+3.

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.