Line - math word problems - last page
Number of problems found: 599
- Perpendicular
Find the slope of the line perpendicular to the line p: y = 8x +6. - Line
Line p passes through A[5, -3] and has a direction vector v=(2, 3). Is point B[3, -6] on the line p? - Trains
On a double-track line between stations, K and M went against each other two trains. The first train passed the distance between stations for 1 hours, and the second, which had an average speed of 11 km/h more, passed for 0.65 hours. Calculate the distanc - 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]. - Lines
How many points will intersect 27 different lines where no two are parallel? - Rail turn
The curve radius on a railway line is 532 m. The length of the rail track along this curve is 818 m. What is the angle ASB in degrees, where A and B are the endpoints of the curve and S is the centre of the arc? - ŽSR
Calculate fixed annual personnel costs of operating monorail line 143 km long if every 5 km is a station that serves three people - one dispatcher and two switchmen in 4-shift operation. Consider the average salary of the employee 884 euro. - Angle between lines
Calculate the angle between the following two lines: p: -4x +7y +7 =0 q: -x +4y +7=0 - Plane
How many parts are divided in the plane 9 parallels? - Line
How many parts of the line divide 10 (different) points that lie on it? - Line
Is it true that the lines that do not intersect are parallel? - The Line segment
Can we construct a line segment if we know: end point and one point inside line - The angle of lines
Calculate the angle between the two lines y = x-8 and y = +12. - Train
A train travels a section of line in 55 minutes at a speed of 70 km/h. At what speed would it need to travel to shorten the journey time by 16 minutes? - Geometric mean
Calculate the geometric mean of 15.2 and 25.6. Also determine the mean by geometric construction, treating 15.2 and 25.6 as lengths of line segments. - Golden ratio
Divide the line of length 871 cm into two sections so that the ratio of shorter to greater is the same as the ratio of the greater section to the whole length of the line. - Orchard
An orchard has 10 trees in each of 5 rows. How many trees are in the orchard? - Isosceles trapezium
Isosceles trapezoid ADMR (AD ∥ MR) has an angle of 30° at vertex A. Calculate the size of the angle at vertex M. - Trolleybus
Trolleybus line No. 215 is 30 km long. If the trolleybus travels 4 km/h faster, the round trip would be 39 minutes shorter. Calculate the trolleybus's speed and the time for a round trip.
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