Let A(-1,4), B(-3, 5), and C(0,9) be points on the Cartesian plane. Give an equation in standard form for the following. 1. the line perpendicular to the line segment AB and passing through the point C 2. the circle having line segment BC as a diameter

Q: A and B are two points in the xy-plane. If their coordinates are A(2, 3) and B(4,3), which of the…

A:

Q: Give the Cartesian coordinates of the following points: point A (r = 2, θ = 30degrees, φ =…

A:

Q: Determine the are of a triangle formed by the given 7x+8y=69 and the coordinate axes x and y.

A:

Q: Find the distance from (-5, 9, -12) to each of the following: 1. The xy-plane. Answer: 2. The…

A:

Q: Find equations for the altitudes of the triangle with vertices A(-3, 2), B(5, 4), and C(3, -8), and…

A: Given,           Altitudes of the triangle with vertices A(-3,2), B(5,4) and C(3,-8)

Q: In Cartesian space, the point form of a line is e: (x, y, z) = (2 + r, -3 + 2r, 5 – 5r). - 3. a)…

A: Given: The point form of a line is l:x,y,z=2+r,-3+2r,5-5r. Calculation: (a) It is observed from the…

Q: 3. Assuming A(3,-1,-4) and B(7,2,4), find the coordinates of point C such that we have: 4AB -3BČ

A:

Q: find the center (h, k) and the radius r of the circle. x2+y2

A: We have find the radius and centre

Q: y For quadrilateral RSTV, suppose that RV || ST. State an equation that relates т, п, р, q, and r. V…

A: Solution: Consider the given quadrilateral RSTV Given that RV ∥ ST Now calculate perimeter of the…

Q: An inscribed circle can be drawn with the center of the circle being point X

A:

Q: Show that the quadrilateral with the given vertices is a parallelogram. E(-5,-2), F(-3,3), G(3,5),…

A:

Q: Let a point a = (2, 4, 5). b) Find the distance from this point to the z-axis.

A:

Q: Show that the point is on the unit circle. We need to show that the point satisfies the equation of…

A:

Q: Use the information provided to write the standard form equation of a circle. Center: (12, 14)…

A: A circle is a locus of points which are equidistant from a fixed point. This fixed point is called…

Q: The general formm of an equation is r+y-+3y+1%3D0. What is the equation of the circle in standard…

A: Using general & standard form of circle

Q: 3

A:

Q: Calculate ?a so that the line y=3x+a travels accross the point (3,10). Give the answer in its exact…

A:

Q: Use the situation below to answer Part A and Part B. Circle Q has a center at (-2, -3) and circle R…

A: Given  Centre of circle Q is at -2,-3 and Centre of circle R is at 1,-1. The objective is select the…

Q: N and O are two points in the xy-plane. If their coordinates are N (3, 6) and O(5, 9) which of the…

A: We have to find the equation of the circle. In this problem first we will find the center and then…

Q: 10. If M is the midpoint of the line AB where A has coordinates (- 6,5) and B has coordinates (4,3).…

A:

Q: Find the point(s) of intersection between the circle and the line provided, then state if the line…

A:

Q: Find the distance between points P, and P2. Pi(0,5, - 1), Р2(3, - 4,5)

A:

Q: Hoe would  you plot all three points on the same set of axes with  line segments between each pair…

A: It is given that points on a plane are A=8,2,B=-1,-10 and C=-8,14. It is required to explain how all…

Q: If M( - 3, 7) is the midpoint of PQ, where P has coordinates (9, – 4), find the coordinates of Q.

A: Given:

Q: Find the distance from (-5, 9, -12) to each of the following: 1. The xy-plane. Answer: 2. The…

A:

Q: The figure satisfies the Midpoint theorem for a triangle. Calculate (x + y) 4у x + 4 6(у-1) 4x -2

A:

Q: determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

A: Given that the point (5, 0) a) symmetric with respect to the x axis Substitute the coordinate -y for…

Q: Howt Find equations for_the fallawinglines 4 The line Perfendicular to the triangle(PQR) and through…

A:

Q: Find the coordinates of the midpoint of the segment that joins the points a) (a, 0) and (0, b). b)…

A: Givena a, 0 and 0, bb 2a, 0 and 0, 2bMidpoint =x1 +x22 , y1+y22

Q: Find the distance between the points: (3, 7) and (2, 12) ww.. A

A:

Q: Given A(-1, 2) and B(3, -4), find a general form of an equation for the perpendicular bisector of…

A: Given A(-1,2) and B(3,-4), find a general form of an equation for the perpendicular bisector of…

Q: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Which of the following  points in the standard (x, y) coordinate plane is furthest from the origin

Q: If a line segment has endpoints A(2x + 7,4y) and B(4x + 3,- 2y), what are the coordinates of the…

A: A line segment has endpoints A2x+7, 4y and B4x+3, -2y

Q: Find the points on z the point (1, 2, 3) axis which are at a distance /21 from

A:

Q: (c) Find the distance from the point (4, 22, 6) over to the xz-plane. (d) Find the distance from the…

A: c) To find the distance from point (4, 22, 6) to xz-plane. Here  x = 4, y = 22, z = 6.     Let us…

Q: Let A(-2,7) and B(14,-5) be points in the plane.   Find an equation of the circle for which AB is…

A:

Q: Y. 14 12 10 8 6 D. --4-2 2. 6 8 10 12 14 A 4. 2. 4.

A: from midpoint formula

Q: Which circle does the point (-1, 1) lie on? O (x-2)2 + (y-5)2 = 25 O (x-5)2 + (y+2)2 25 (x-2)2 +…

A: Point lie on circle :When we substitute the coordinates of the point in circle which is equal to…

Q: In the Cartesian plane below, the map of two perpendicular cross country skiing trails is shown that…

A:

Q: Which point is three fourths of the way between point A and point B on the line segment AB shown on…

A: To determine which point is three fourths of the way between point A and point B on the line segment…

Q: he general form of the equation of a circle is r +y² -x+5y+5=0. What is the equation of the circle…

A:

Q: The center of a circle is at (6, -7) and the diameter of the circle is 22. Which of the following is…

A: Given data, Co-ordinates of center of the circle = ( 6, -7 ). Diameter of circle, d = 22 units.…

Q: Consider the line segment joining  A(−3, 3) and B(9, 7). (a) Find an equation, in the form of  Ax +…

A:

Q: If the abscissae of points A, B are the roots of the equation x² + 2ax − b² = 0 and ordinates of A,…

A: If the abscissae of points ,A,B are the roots of the equation x2+2ax-b2=0and ordinates of A,B are…

Q: Given three noncollinear​ points, there is one and only one circle that passes through them. Knowing…

A: The general form of circle equation is given by

Q: Show that the following sets of points are collinear and find the equation of line…

A: Three or more points are collinear, if slope of any two pairs of points is same. With three points…

Q: In this exercise we use the Distance Formula and the Midpoint Formula. If M(1, 7) is the midpoint of…

A: mid point formula  x =(x1 +x2)/2 y =(y1 +y2)/2

Q: 2. Find the Cartesian coordinates for the following points. a) b) 3

A:

Q: 1. Any point on the perpendicular bisector is from the endpoints (A and B) of the line segment.

A:

Q: If the abscissae of points A, B are the roots of the equation x² + 2ax - b² = 0 and - ordinates of…

A: The abscissae of points A, B are the roots of the equation x2+2ax-b2=0 and ordinates of A, B are…