Geometry - math word problems - page 17 of 162
Number of problems found: 3232
- Determine 3586
Determine the size of the vectors u = (2,4) and v = (-3,3)
- Intersections 62784
A quadratic function is given: y = -x² + 2x + 3 a) determine the intersections with the x, y-axis and peak V b) draw a graph and describe c) for which x applies f (x) = 3
- Segment
Calculate the segment AB's length if the coordinates of the end vertices are A[0, -2] and B[-4, 9].
- Quadrilateral PQRS
PQRS is a quadrilateral with P(4,4), S(8,8), and R(12,8). If vector PQ=4*vector SR, find the coordinates of Q. Solve it
- Solutions 45511
Two parallel chords in a circle with a radius of 6 cm have lengths of 6 cm and 10 cm. Calculate their distance from each other. Find both solutions.
- Unit vector 2D
Find coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
- Medians and sides
Triangle ABC in the plane Oxy has the coordinates of the points: A = 2.7 B = -4.3 C-6-1 Try to calculate the lengths of all medians and all sides.
- Coordinates 59863
The endpoint of the vector, which is located at the origin of the Cartesian system Oxy, is given. Determine the coordinates of the vector and its magnitude, and sketch it: P[3,4]; Q[-2,7]; S[-5,-2] . .. i.e., Vectors PO, QO, SO
- 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
- Intersections 3
Find the intersections of the circles x² + y² + 6 x - 10 y + 9 = 0 and x² + y² + 18 x + 4 y + 21 = 0
- 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)
- 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;
- 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.
- 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?
- Vertices of a right triangle
Show that the points D(2,1), E(4,0), and F(5,7) are vertices of a right triangle.
- Square
Points A[9,9] and B[-4,1] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD.
- 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].
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