Use the pythagorean theorem
a = 12
b = 5
c = unknown
a^2 + b^2 = c^2
12^2+5^2 = c^2
144 + 25 = c^2
169 = c^2
c^2 = 169
c = sqrt(169)
c = 13
The hypotenuse of the right triangle is 13 units
Answer: 13
<h2>
Part 1.</h2>
Answer: 
The limit of the difference quotient is simply the derivative, so we can express this as follows:
So our function is:
Taking the derivative, we have:
So the correct option is:
<h2>Part 2.</h2>
Answer: 
The equation of the line that passes through the same point can be found as:
Where 
, so we need to find 
. Plug in that x-value in the function we have:
And the slope is:
Then, the equation of the line is:
<h2 /><h2>Part 3.</h2>
Answer: Shown below
As you can see below, the graph of the function of 
is continuous. This is so because we have plotted a polynomial function whose domain is the set of all real numbers. So the function is defined at the point 
, so the derivative exists at this point, hence we can calculate a tangent line there. In conclusion, we get the graph shown below. The blue line is the tangent line while the red curve is the graph of
Answer:
b
Step-by-step explanation:
the step by step explanation is that because the word increase is the clave word just belive in me
Answer: Yes... 3.25*8=26 so the amount of money is exact
Answer: 1,820 Pushups
Step-by-step explanation: 29+36=65
65 x 7 (days in a week)=455
455 x 4(as in the 4 weeks)=1,820 Pushups total
I hope this helped! let me know if you need more help! :)
