Pythagorean theorem + analytic geometry - practice problems - page 5 of 6
Number of problems found: 101
- Equal distance
Find the equation for all the points (x, y) that are equal in distance from points A(5,-2) and B(-2,10). - Calculate 7
Calculate the height of the trapezoid ABCD, where the coordinates of vertices are: A[2, 1], B[8, 5], C[5, 5] and D[2, 3] - Coordinates of square vertices
I have coordinates of square vertices A / -3; 1/and B/1; 4 /. Find coordinates of vertices C and D, C and D. Thanks, Peter. - Midpoint of segment
Find the distance and midpoint between A(1,2) and B(5,5).
- Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x; - Vertices of RT
Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle. - Equation of circle
Find an equation of the circle with indicated properties: a. center at (-3,5), diameter 20. b. center at origin and diameter 16. - Calculate 8
Calculate the coordinates of point B axially symmetrical with point A[-1, -3] along a straight line p : x + y - 2 = 0. - Square side
Calculate the length of the side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -4x -5 =0.
- Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2). - Distance between 2 points
Find the distance between the points (7, -9), (-1, -9) - Equation 81932
Write the general equation of a circle with point S(2;5) and point B(5;6) lying on this circle. - Center
Calculate the coordinates of the circle center: x² -4x + y² +10y +25 = 0 - Segment
Calculate the segment AB's length if the coordinates of the end vertices are A[10, -4] and B[5, 5].
- Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find the value of x - Forces
In point, O acts three orthogonal forces: F1 = 20 N, F2 = 7 N, and F3 = 19 N. Determine the resultant of F and the angles between F and forces F1, F2, and F3. - CoG center
Find the position of the center of gravity of a system of four mass points having masses, m1, m2 = 2 m1, m3 = 3 m1, and m4 = 4 m1, if they lie at the vertices of an isosceles tetrahedron. (in all case - Quadrilateral 47493
A regular quadrilateral prism ABCDEFGH has a base edge A B 8 cm long and 6 cm high. Point M is the center of the edge AE. Determine the distance of point M from the BDH plane. - Sphere equation
Obtain the equation of a sphere. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1).
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