Pythagorean theorem + analytic geometry - practice problems - page 4 of 6
Number of problems found: 101
- Calculate 83160
Calculate the distance of point A[ 4; 2; -3 ] from the plane : 2x - 2y + z + 5 = 0 - Equation of circle 2
Find the equation of a circle that touches the axis of y at a distance of 4 from the origin and cuts off an intercept of length 6 on the axis x. - Circle - AG
Find the coordinates of the circle and its diameter if its equation is: x² + y² - 6x-4y=36 - 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3?
- Chord BC
A circle k has the center at the point S = [0; 0]. Point A = [40; 30] lies on the circle k. How long is the chord BC if the center P of this chord has the coordinates [- 14; 0]? - 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. - Hyperbola
Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6]. - Right triangle - leg
Calculate the nearest tenth cm leg length in the right-angled triangle with hypotenuse length 9 cm and 7 cm long leg. - Unit vector 2D
Find coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
- Circle
Write the equation of a circle that passes through the point [0,6] and touches the X-axis point [5,0]: (x-x_S)²+(y-y_S)²=r² - Calculate 6706
Given a triangle KLM points K [-3.2] L [7, -3] M [8.5]. Calculate the side lengths and perimeter. - Calculate 4865
Calculate the length of the line segment AB, given A [8; -6] and B [4; 2] - 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 - Diameter
If the endpoints of the diameter of a circle are A(-9, 10) and B (-5, -4), what is the circle's radius?
- Distance
Calculate the distance between two points K[6; -9] and G[5; -1]. - Vertex points
Suppose the following points of a triangle: P(-12,6), Q(4,0), R(-8,-6). Graph the triangle. Find the triangle area. - On a line
On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1]. - Triangle IRT
An isosceles right triangle ABC with right angle at vertex C has vertex coordinates: A (-1, 2); C (-5, -2). Calculate the length of segment AB. - Angle between vectors
Find the angle between the given vectors to the nearest tenth degree. u = (6, 22) and v = (10, -11)
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