In the coordinate plane shown, point C (not shown) lies on AB. (10, 10) A (2, 4) If the ratio of the length of AC to the length of CB is 3:1, what is the y-coordinate of point C?

Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

A: Given: Points.P=(0,4,-1)A=(4,3,4)B=(-2,2,1)

Q: d. Find the equations of the two parallel planes that are distance 5 away from plane P.

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Q: A, B, and C are collinear points: B is between A and C.  If AB = 3x + 4, BC = 4x - 1, and AC = 6x…

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Q: The midpoint of AB is M (5, –5). If the coordinates of A are (3, –6), what are the coordinates of B?

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Q: The area of the inner triangle ABC is ¼ that of triangle ADE. AB =45 m., AD = 65m., AE = 90 m. Point…

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Q: Sherry draws a triangle. The length of side AC¯¯¯¯¯¯¯¯ is 12 inches. The length of side AB¯¯¯¯¯¯¯¯…

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Q: The distance between the points (-3,-5) and (2,7) on the coordinate plane is given as 52 +t2. What…

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Q: A parallelogram has sides AB, BC, CD, and DA. Given A(1,-1,4), C(a. b.c), the midpoint M(1. 0,9) of…

A: The complete solutions are given below

Q: A, B, and C are collinear points: B is between A and C.  If AB = 12, BC = 18, and AC = 3x, find x.

A: If A, B, and C are collinear points and B is Between A and C, then AB + BC = AC

Q: The midpoint of AB is M(2, –1). If the coordinates of A are (1, 6), what are the coordinates of B?…

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Q: In the coordinate plane shown, point C (not shown) lies on segment AB. B (10, 10) (2, 4) If the…

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Q: b) An airplane is approaching point P along a straight line and at a constant altitude I. At 3:00…

A: So we need to understand that  Let the distance from point p be d  Let the distance travelled in 1…

Q: 28. Given the points A(3, 2) and B(7, -6) what is the point halfway between A and the midpoint of…

A: To solve the following problem

Q: In the diagram below of triangle GHJ, K is a midpoint of GH and L is a midpoint of HJ. If KL = 43 –…

A: Given : K is a midpoint of GH and Lis a midpoint of HJ.

Q: The figure below shows an isosceles triangle PQR, where |PQ|=|PR| and a rectangle ABCD drawn inside…

A: The formula to calculate the area of a rectangle is A=l·w, where l and w are the length and width of…

Q: In the coordinate plane shown, point C (not shown) lies on segment AB. B (10, 10) (2, 4) If the…

A: Explained below

Q: what is the diameter of the carousel

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Q: In the coordinate plane shown, point C (not shown) lies on segment AB. (10, 10) (2, 4) If the ratio…

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Q: To which coordinate plane is the plane y = 1 parallel?

A: y=1

Q: Given Triangle TUV with vertices T(4, 4), U(-4, 0), and V(-2, 2). What are the coordinates of…

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Q: In parallelogram ABCD shown below, points F and G are located on side DC and AG and BF are drawn,…

A: If measure of 3 angles of given triangles are equal, then the triangles are similar to each other.…

Q: A series of trapezoid-shaped posters advertising a movie are placed along a wall. D C M If the…

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Q: Given Triangle TUV with vertices T(4, 4), U(-4, 0), and V(-2, 2). What are the coordinates of the…

A: The vertices of triangle TUV are T=(4, 4) U=(-4, 0) V=(-2, 2)   Scale factor is 2. Centre is origin.

Q: The equation, with a restriction on x, is the terminal side of an angle 0 in standard position. 4x +…

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Q: What will be the new coordinates of the triangle with vertices A(0,1),B(1,2) and C(1,0) when : i) it…

A: given coordinates of a traingle ABC A(0,1),B(1,2) and C(1,0) what will be the new coordinates of…

Q: 1. On a coordinate plane, DEF has vertices D(1, 2), E(7, 2) and F(1, 9). What is the distance…

A: Since, distance bewteen two points is given by:-d=x2-x12+y2-y12

Q: On a coordinate plane, a line segment has endpoints P(6, 2) and Q(3, 8). Point M lies on PQ and…

A: Use internal division formula

Q: Consider point W on the coordinate plane y 51 w/ 1.

A: Here if we are going through x-axis. Then it will give points 3 and -4. Because x-axis value will…

Q: In parallelogram WXYZ, diagonals WY and XZ intersect at point A. Give WA = x^2 - 48 and AY = x^2 -…

A: We have to find WY

Q: 1, In the quadrilateral shown OA = 2a, OB = 2b, OC = 2e. Points P. Q. R and S are the mid-points of…

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Q: The cosine of the angle between the planes 2x - y +2z - 3 = 0 and 3x + 2y – 6z – 11 = 0 is (a)를 (b)를…

A: We'll answer the first question since the exact one wasn't specified. 13. For two planes given by…

Q: 12. In parallelogram ABCD shown below, points F and G are located on side DC and AG and BF are…

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Q: The distance between the points (-3,-5) and (2, 7) on the coordinate plane is given as V3 +t, What…

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Q: The coordinates of the points O, A and B of the plane are (0.0), (0.20) and (300.0), respectively. A…

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Q: Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE = 2x, BE =y+ 10, CE = x + 2…

A: From given data, parallelogram ABCD can be drawn as,

Q: C E A

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Q: find the xy equation of all three sides of triangle ABC with verticies  A= (1,5)  B= (3, -1)  C=…

A: The given triangle is  now we have to find the equation of lines AB,AC,and BC

Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

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Q: Polnt Q lies on ST, where point S is located at (2, -6) and polnt T is located at (5, 8). If SQ: QT…

A: our objective is to find the co-ordinate of Q

Q: Find the point with coordinates of the form (3a, a) that is in the third quadrant and is a distance…

A: Given data: The distance between points is s = 5. Given point is P(1, 2).

Q: The midpoint of AB is M(5, -2)M(5,−2). If the coordinates of AA are (6, -5)(6,−5), what are the…

A: Mid point of a line joining two points(x1, y1) and  (x2, y2) is given byMid point = x1+ x22,y1+ y22

Q: The distance between the points (3, 8) and (x, 8x + 3) i

A: Solve for the distance between two points

Q: The equation, with a restriction on x, is the terminal side of an angle 0 in standard position. 3x…

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Q: The angle bisector at vertex B of AABC meets AC at D. If BC = 6, AC = 40 and CD= 15, find AB. Find…

A: a.  Given that angle bisector from vertex B meets AC in D. BC=6, AC=40, CD=15, AB=?…

Q: 5. Use the slopes of the slanted sides of AABC to find the exact coordinates of the inscribed square…

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Q: In the adjoining figure, point Q is the center of the top face, and R is midpoint of the segment. R…

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Q: In the problem we use distance formula. Show that the points A(-1,3), B(3,11), and C(5,15) are…

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Q: Polnt Q lies on ST , where point S is located at (2, -6) and point T is located at (5, 8). If SQ: QT…

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Q: On a dark night, two ships, Saga and Hero, sail parallel to a straight coastline on which there are…

A: We have, I=1b2+x+82+1b2+x-82dIdx=-2x+8b2+x+822+-2x-8b2+x-822     =-2x-8b2+x+822+-2x+8b2+x-822…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.