Rihanna works in a coffee shop approximately nine miles from her apartment she bikes every day from her apartment. she bikes every day from her apartment to the coffee shop and then back to her apartment in the evening. however, on her way to work, she always stops halfway through to meet her best friend at a park, if the distance from rihanna's apartment to the park is (5x+2) miles and the trip from the park to the coffee shop is (25x-8) miles long, then what is the value of x?

The distance from Rihanna's apartment to the park is (5x+2) miles and the trip from the park to the coffee shop is (25x-8) miles long. It is given that Rihanna always stops halfway through to meet her best friend at a park, this means that the distance from Rihanna's apartment to the park is equal to the distance from the park to the coffee shop. Then

5x+2=25x-8.

Solve this equation, separating variables x in left side and numbers in right side:

5x-25x=-8-2,

-20x=-10,

20x=10,

x=10/20,

x=1/2=0.5.

x=0.5

move it to the other side

step-by-step explanation:

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: