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:
800m
Step-by-step explanation:
this would be solved using Pythagoras theorem
we are to find the base
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
600² + b² = 100²
b² = 10000 - 3600
b² = 6400
take the square root of both sides
b = 800m
<span>C.Gallons per dollar, because the dependent quantity is the gallons</span>
Answer:
It is either 7.62m or 10m
Step-by-step explanation:
Eduphoria