Answer:
Step-by-step explanation:
given a point
the equation of a line with slope m that passes through the given point is
or equivalently
.
Recall that a line of the form
, the y intercept is b and the x intercept is
.
So, in our case, the y intercept is
and the x intercept is
.
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph
. Which means that 
The slope of the tangent line is given by the derivative of the function evaluated at
. Using the properties of derivatives, we get
. So evaluated at
we get 
Replacing the values in our previous findings we get that the y intercept is

The x intercept is

The triangle in consideration has height
and base
. So the area is

So regardless of the point we take on the graph, the area of the triangle is always 2.
Answer:
16.00$
Step-by-step explanation:
divide 24 dollars in three sections which is 8 dollars a section. 2/3 is 2 out of 3 sections(8+8) which is sixteen.
Answer:
15 people/mi
Step-by-step explanation:
The population density of a region in Alaska is 3,000 people/200 mi.
We need to find the equivalent to the population density of this Alaskan region.

So, the correct option is (c) "15 people/mi"
<span>2h + 4 = m (twice the value of Helena's age plus 4 will equal Mark's age)
3j - 6 = g (three time John's age minus 6 will equal Glenn's age)
3.35s + .80b = 11.75</span>
Answer: b
Explanation: A and C are wrong because a negative times a positive is a negative
And D is wrong because a positive times a positive is a positive