Graph a line that is perpendicular to the given line. Determine the slope of the given line and the one you graphed in simplest form. Click and drag on the graph to draw a line. Click and drag to plot a perpendicular line.
The line will change colors when a parallel or perpendicular line is drawn accurately.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

the furthest the dog can be is 508 meters away from the house, and the closest he can be is 492 meters away from the house.

16 is the coefficient

hope this