Geometry - math word problems - page 17 of 162
Number of problems found: 3232
- Parabola
Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c) - Chords centers
The circle has a diameter of 17 cm, upper chord |CD| = 10.2 cm, and bottom chord |EF| = 7.5 cm. The chords H and G midpoints are |EH| = 1/2 |EF| and |CG| = 1/2 |CD|. Find the distance between the G and H if CD II EF (parallel). - Vector - basic operations
There are given points A [-9; -2] B [2; 16] C [16; -2] and D [12; 18] a. Determine the coordinates of the vectors u=AB v=CD s=DB b. Calculate the sum of the vectors u + v c. Calculate the difference of vectors u-v d. Determine the coordinates of the vecto - Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x; - 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. - Similarity coefficient
The similarity ratio of two equilateral triangles is 4.3 (i.e., 43:10). The length of the side of the smaller triangle is 7.5 cm. Calculate the perimeter and area of the larger triangle. - 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. - Container
The container has a cylindrical shape, the base diameter is 0.8 m, and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container? - Quadrilateral 2
Show that the quadrilateral with vertices A(0,1), B(4,2), C(3,6) D(-5,4) has two right triangles. - Similarity
ABC is a triangle wherein a = 4 cm, b = 6 cm, c = 8 cm. Is it similar to the triangle DEF: d = 3 cm, e = 4.5 cm, f = 6 cm? If so, determine the ratio of similarity. - Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2). - 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]. - XY triangle
Determine the area of a triangle given by line 2x-4y+47=0 and coordinate axes x and y. - Parametric equations
Write the parametric equations of height hc in triangle ABC: A = [5; 6], B = [- 2; 4], C = [6; -1] - Dimensions 5989
The owners of the ornamental garden decided to beautify the entrance to the garden with two granite plinths composed of a prism and a sphere. The sphere has a diameter of 56 cm; the prism has dimensions of 60 cm, 60 cm, and 150 cm. How much will the owner - Suppose
Suppose you know that the length of a line segment is 15, x2=6, y2=14, and x1= -3. Find the possible value of y1. Is there more than one possible answer? Why or why not? - Displacement 55871
Assemble the two offsets, d1, and d2, shown by OA and OB oriented lines. The coordinates of the points are O = (0m, 0m), A = (3m, 3m), and B = (5m, 2m). Measure the magnitude of the resulting displacement d. - Trapezoid 18313
Find the points A1 B1 symmetric along the y-axis to the points A [-4,0] and B [-1,4]. Calculate the perimeter of the trapezoid AB B1 A1. - Equation 80525
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2]
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