Answer:
19.3795 m
Step-by-step explanation:
If sound travels at 343 m/s and it took Karen 0.113 s to hear the echo from the wall, the distance travelled by the sound is:

Note that the distance calculated above is the distance travelled from Karen to the wall and then back from the wall to Karen. Therefore, the distance between Karen and the wall is:

The wall is 19.3795 m away from Karen.
Answer:

Step-by-step explanation:

The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.
Thus, gradient of given line=
.
The product of the gradients of perpendicular lines is -1.
(Gradient of line)(-3/2)= -1
Gradient of line

Substitute m=
into y=mx+c:

To find the value of c, substitute a pair of coordinates.
When x= -6, y= 8,

Thus, the equation of the line is
.
Answer: m = 5/8
Step-by-step explanation: