Equation + line - practice problems - last page
Number of problems found: 126
- Slope
What is the slope of the line defined by the equation -2x +3y = -1? - Perpendicular
Find the slope of the line perpendicular to the line p: y = 8x +6. - 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 3.5 hours, and the second, which had an average speed of 12 km/h more, passed for 3.05 hours. Calculate the dista - 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].
- Golden ratio
Divide the line of length 14 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. - Trolleybus
Trolleybus line No. 206 measured 24 km. If the trolley bus goes faster by 5 km/h, the way there and back would be shorter by 33 minutes. Calculate the trolley bus speed and the time it takes for a return trip.
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