Once kate's kite reaches a height of 60 ft (above her hands), it rises no higher but drifts due east in a wind blowing 4 ft divided by s. how fast is the string running through kate's hands at the moment that she has released 106 ft of string?

The string is running through Kate's hand at 13.19 ft/ sec.

Step-by-step explanation:

Since we know that

y = 60 feet

dx = 4 ft/sec

z=106 feet

we need to find the value of dz.

Hence, the string is running through Kate's hand at 13.19 ft/ sec.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.