Answer:
Step-by-step explanation:
We want to find the equation of the tangent line to the function:
At the point (-2, 6).
First, we will need the slope of the tangent line. So, differentiate* the function:
Find the slope when <em>x</em> = -2:
Now, we can use the point-slope form:
Our point is (-2, 6) and our slope is -11. Substitute:
Simplify:
Distribute:
And add six to both sides. Therefore, our equation is:
If you have not yet learned differentiation, here's the method using the difference quotient! The difference quotient is given by:
Here,<em> x</em> = -2. Substitute:
Substitute (we are given the point (-2, 6). So, f(-2) = 6).
Expand and simplify:
Distribute:
Simplify:
Evaluate the limit (using direct substitution):
The given dimensions that we have in this question are 105 and 45
<h3>How to solve for the dimensions</h3>
We have 2(l + b ) = 300
l + b = 300/2
l + b = 150 ----- 1
The fencing would be
30l + (6b + 6b) = $3690
30l + 12b = 3690 ---- 2
We have to solve this through the use of simultaneous linear equation
The calculator that has been used to solve this is the simultaneous linear equation calculator.
This would give us the values of 105 and 45.
We have to conclude that the dimensions are 105 and 45
Read more on dimensions here
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Combine like terms :
3x - 3 = 15
3x = 15 + 3
3x = 18
x = 18/3
x = 6
Answer:
1 minute
Step-by-step explanation:
Speed of cycle = 15 miles per hour
Distance between stops = 0.25 miles
we will use formula for speed distance and time, where time is given by
time = distance / speed.
Plugging in the value of distance and speed, we have
time = 0.25/15 hours .
Since we need answer in minutes
1 hour has 60 minutes
hence,
time in minutes = ( 0.25/15) * 60 minutes = 1 minute
It will take 1 minute to travel between two stops having distance 0.25 miles.
14.4166667 feet (14 feet 5 inches)