Analytic geometry - math word problems - last page

Number of problems found: 267

Center
In the ABC triangle is point D[1,-2,6], which is the center of the |BC|, and point G[8,1,-3], which is the center of gravity of the triangle. Find the coordinates of the vertex A[x,y,z].
Circle
From the equation of a circle: -x² -y² +16x -4y -59 = 0 Calculate the coordinates of the center of the circle S[x₀, y₀] and the radius of the circle r.
Square
Points A[9,9] and B[-4,1] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD.
Forces
In point, G acts three orthogonal forces: F₁ = 16 N, F₂ = 7 N, and F₃ = 6 N. Determine the resultant of F and the angles between F and forces F₁, F₂, and F₃.

Angle between lines
Calculate the angle between these two lines: p: -4x +7y +7 =0 q: -x +4y +7=0
Center
Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[-19,3] B[-20,25] C[22,10].
The angle of lines
Calculate the angle of two lines y=2x+29 and y=-3x+1

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