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Construct 8
Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: The vertices of this triangle are points A (1,7), B (-5,1) C (5, -11). The said problem should be used the concepts of distance from a point to a line, rati
A triangle 6
A triangle has vertices on a coordinate grid at H(-2,7), I(4,7), and J(4,-9). What is the length, in units, of vector HI?
Coordinate axes
Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y.
XY triangle
Determine the area of a triangle given by line 7x+8y-69=0 and coordinate axes x and y.
The triangle 5
The triangle below has vertices A(-1,-2), B(2,2), and C(-1,4). What is the area of △ABCin square coordinate units?
Right triangle from axes
A line segment has its ends on the coordinate axes and forms a triangle of area equal to 36 square units. The segment passes through the point ( 5,2). What is the slope of the line segment?
Coordinates of vector
Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5)
Intersection 74914
Find the perimeter of triangle ABC, where point A begins the coordinate system. Point B is the intersection of the graph of the linear function f: y = - 3/4• x + 3 with the x-axis, and C is the intersection of the graph of this function with the y-axis.
Find the 13
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4].
Quadrant four
Which point is located in Quadrant IV? A coordinate plane. A(-8, 6) B(-8, -6) C(8, -6) D(8, 6)
Intersections
Find the intersections of the function plot with coordinate axes: f (x): y = x + 3/5
Points on circle
The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose
Midpoint 4
If the midpoint of a segment is (6,3) and the other endpoint is (8,-4), what is the coordinate of the other end?
Rectangular 75334
In the rectangular coordinate system, find the images of points A[-3; 2] and B[4; -5] in central symmetry according to point O[0; 0]. A. A'[3; 2], B'l-4; -5] C. A'[-3; -2], B'[4; 5] B. A'[-3; -2], B'[-4; 5] D. A'[3; -2], B'[-4; 5]
Coordinates of midpoint
If the midpoint of the segment is (6,3) and the other end is (8,4), what is the coordinate of the other end?
Coordinate 59833
Determine the unknown coordinate of the vector so that the vectors are collinear: e = (7, -2), f = (-2, f2) c = (-3/7, c2), d = (- 4.0)
Intersection 3486
The rectangular coordinate system has a point A [-2; -4] and a point S [0; -2]. Determine the coordinates of points B, C, and D so that ABCD is a square and S is the intersection of their diagonals.
Coordinates of the intersection of the diagonals
In the rectangular coordinate system, a rectangle ABCD is drawn. These coordinates determine the vertices of the rectangle. A = (2.2) B = (8.2) C = (8.6) D = (2.6) Find the coordinates of the intersection of the diagonals of the ABCD rectangle.
Intersection 19343
What is the sum of all coordinates of points at the intersection of the line p: x = -1-2t, y = 5-4t, z = -3 + 6t, where t is a real number, with the coordinate planes xy and yz?
Coordinates 66474
Draw a trapezoid in the coordinate system with bases 4cm long, 2cm long, and 3cm high. Please write down the coordinates of its vertices.

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