The vertices of a triangle are (-2,7), (5,4) and (1,y). If the third point is in the fourth quadrant and the area of the triangle is 37.5 square units, find y a. -2 b. -4 c. -3 d. -5

Q: Let A (-23, 12), B (13,36), and C (23,-1) be vertices of a triangle. Where will the medians of this…

A: Given: vertices of the triangle              A=-23,12 , B=13,36 , C=23,-1To find: to find the co…

Q: Consider the points A(3, 5, 1), B(7, -1, 0) and – C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A: The given points are A3,-5,1, B7,-1,0 and C-1,-3,4

Q: Find the coordinates of the point that is equidistant from ( — 2, 5), (8, 5),and (6, 7).

A: Given: The points A=(x1, y1)=(-2,5), B=(x2, y2)=(8,5), C=(x3, y3)=(6,7)   To find: The point P=(x,y)…

Q: Find equations for the line perpendicular to the triangle (PCQR) and through the point (P) if…

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Q: Find a point equidistant from the points (3,2) and 5,-1)

A: Let the coordinates of the required point be x and y.

Q: If two vertices of an equilateral triangle are at (0, 0) and (2a, 0), what point is the third…

A: The given diagram is, Since, ∆ABC is equilateral triangle. AB=BC=AC. ⇒AB2=BC2=AC2 Suppose point A…

Q: If a triangle has vertices (-5,-5), (-4,-6), and (-2,-1), how do you reflect this over the y=x axis

A: First of all to find the coordinates of the vertices A(-5,-5),B(-4,-6),C(-2,-1) after reflection…

Q: Consider the points A(3, — 5, 1), B(7, — 1, 0) and C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A:

Q: Consider a quadrilateral with vertices ܵS(-7, 2), Q(0.5, 3), R(3/2, -9/2), E(-6, -5.5) Determine…

A: The given question can be solved by using distance formula and the property of various types of…

Q: 1. Quadrilateral ABCD with vertices A(-4, 1), B(-2, 3), C(0, -2), and D(-5, -2): k = 3 A'L B'( C'(L-…

A: We are given with the vertices of quadrilateral  and need to plot the graph.…

Q: Find the perimeter of a hexagon with vertices A (-4, 2), B (1, 4), C (6, 2), D (5, -1), E (1, -3)…

A: we have to find the perimeter of a hexagon.  Perimeter-length of boundaries is known as perimeter

Q: Find the distance between the given pair of points. (a) (1, 3), (5, 6) (b) (-2, 0), (3, 12) (c) (0,…

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Q: Determine if the points X(26, 24), Y(2, 22), and Z(0, 5) form the vertices of a right triangle.

A: Given points are X26,24, Y2,22 and Z0,5. To determine whether points form the vertices of a right…

Q: Suppose that ABCD is a parallelogram, and В 3 (-1,5), A = (-4, 1), C = (3,0), D = (a, -2) %3D What…

A: Consider the figure as follows we know that diagonals of parallelogram bisect each other therefore…

Q: do the points (-1,1) , (-3,5), and (0,8) form a tight triangle ?

A: We can check if the triangle formed by A, B, C is right triangle by two methods: 1) By checking if…

Q: 14) Write the equation of the perpendicular bisector of segment QR if Q(3, -2) and R(7, 6)

A: Find the equation

Q: . In the standard (x, y) coordinate plane, a line segment with the endpoints (-1, 3) and (4, 3) is…

A:

Q: * Find the Cartesion Coordinates of the points. (),(万,). (-2,2)

A: To convert Polar coordinates r, θ to Cartesian coordinates x, y apply:x=rcosθ   y=rsinθ

Q: The coordinates of the circumcentre of the triangle ABC are (8,3) , if the coordinates of the…

A: To Determine: find the values of x and y. Given: We have the coordinates of the circumcentre of the…

Q: Find the area of the triangle with vertices: Q (5,-5,0), R (5, -7, 2), and S (6, -2, 1)

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Q: If a coordinate system is superimposed on the softball diamond in the figure below with the positive…

A: The distance from the home base to first base is 60 feet, and first base to second base is 60 feet.…

Q: The coordinates of the vertices of a rectangle WIND are W(-2, 6), I(10, 6), N(10, -3), and D(-2,…

A:

Q: Find the area of the triangle determined by the points P(-3, 6, -4), Q(8, 8, -5), and R(-1, -1, -7).

A:

Q: Determine graphically, the vertices of the triangle formed by the lines y =3,    x = 3y, and x + y =…

A:

Q: Determine if the points X(-6,-4), Y(2,-2) and Z(0,5) form the vertices of a right triangle.

A:

Q: In the triangle with vertices (2, 0), (3, 2), (4, - 3), find the equations of the altitudes, and…

A: Let ABC be the △ with vertices A3,2 , B2,0 , C4,-3 and AD altitude of △ABC drawn from vertex A. Let…

Q: Suppose A(-9, -8) and B(-4, -6). What is the x coordinate of the midpoint for AB?

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Q: 1. Find the equation of the perpendicular bisector through: (2,-5) and (3,1)

A:

Q: The coordinates of parallelogram ABCD are A(4,6), B(-2,3), C(-2,-4) and D(4,-1). Which numbered…

A: Given, The coordinates of parallelogram ABCD are A(4,6), B(-2,3),C(-2,-4) and D(4,-1)

Q: 2. E(-7, -4), F(2, -3), G(0, -7), H(-9, -8)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: O Q(-2. -7). R(1, -5), S(4, -7). T(1, -9)

A: As per guideline we have to solve only one

Q: How would i determine whether the three points are collinear?   (0,-7), (-3,-21), (2,3)

A:

Q: Select the most precise name for the quadrilateral with points R(-7,-6) S(-5,0) T(-2,0) U(0,-6)

A:

Q: The vertices of a triangle are P(-3, 8), Q(-6, -4), and R(1, 1). What are the vertices of the image…

A: Given, the vertices of a triangle are P(-3, 8), Q(-6, -4), and R(1, 1)

Q: The children's section is rectangular and has three of its corners at (-10, 10), (-10, 4), and (-3,…

A: Children's section corners coordinates are: (-10, 10), (-10, 4), and (-3, 10) To find the 4th…

Q: The vertices of a quadrilateral are A(-4, -2), B(-2, 1), C(3, 2), and D(1, -1). Is it a…

A: Known fact: The Midpoint of line joining two points is given by m=x1+x22,  y1+y22. Given vertices of…

Q: Which of the points A(4,4) or B(5,3) is closer to the point C(-1,-3)?

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Q: If point A is reflected over the y -axis and its original location was (2,3), where is its new…

A:

Q: If rAB = i + 4j - 2k and B is the point (5, 1, 3), find A.

A: Let

Q: Find the angles of the triangle whose sides are x+y -4 = 0, 2x+y-6=0 and 5x+3y - 15 = 0.

A: Lines:x+y-4=0⇒y=4-x                      (1)2x+y-6=0⇒y=6-2x                  (2)5x+3y-15=0⇒y=153-53x…

Q: The coordinates of two points A and B are (3, 4) and (5,-2), respectively. Find the coordinates of…

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Q: Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with…

A: It can be solved easily by using geometrical figures properties.

Q: The sides of a triangle are defined by the equations x + 2y- 2 - 0, 2x - y- 4 = 0, and 3x + y + 9 =…

A: The sides of triangle are  x+2y-2=0.........(1)2x-y-4=0..........(2)3x+y+9=0..........(3)

Q: On a coordinate plane, the location of 3 points are: (0,6), (5,-4), and (-1,-5). Where would the…

A: Since the diagonals of a parallelogram bisect each other you can apply the mid-point formula to find…

Q: In the triangle with vertices (2,0), (3,2), (4,-3), find the equations if the altitudes, and their…

A: Consider the provided information,

Q: Find the distance between each pair of points. (a) (-4, 0) and (0, 3) (b) (-2, 6) and (4, -2) (c)…

A: Distance between points is x2-x12+y2-y12.

Q: The points A(0,0),B(0,5)and C(12,0) are the vertices of a right triangle with 13 units as its…

A: A triangle in which one of the interior angles is 90 degree is called a right triangle. The longest…