<span>A refrigerator contains 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, and 2 mangos. Imagine you stick your hand into the refrigerator and pull out a piece of fruit at random. What is the sample space for this process? a. S = {apple, orange, banana, pear, peach, plum, mango} b. S = {6, 5, 10, 3, 7, 11, 2} c. S = {6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, 2 mangos}</span>
Answer: r = 11
Step-by-step explanation:
We know that the point (-2, r) lies on the graph of:
2*x + y = 7.
Then, if we that point is on the graph of the equation, we can replace the values and we will have:
2*(-2) + r = 7
and now we solve this for r-
-4 + r = 7
r = 7 + 4 = 11
r = 11
The tangent line to 
at 
has slope 
, so first we compute the derivative:
and evaluate it at the point of interest to find the slope:
Then the equation of the tangent line is
let
x------> the length of the <span>first side
y------> the </span>length of the <span>second side
z------> the </span>length of the third side
we know that
x+y+z=60
x=14 m
y=2x-----> y=2*14-----> y=28 m
z=60-x-y------> z=60-14-28-----> z=18 m
the answer is
the length of the third side is 18 m
