Two bicyclists approach each other on the same road. one has a speed of 5 m/s and the other has a speed of 8 m/s. they are 500 meters apart. if they keep the same speeds, how long will it be before they meet each other.?

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

For problems 29 - 31 the graph of a quadratic function y=ax^2 + bx + c is shown. tell whether the discriminant of ax^2 + bx + c = 0 is positive, negative, or zero.

Which value of m will create a system of parallel lines with no solution? y = mx - 6 8x - 4y = 12