Answer: When you plug in an x-value into a function's derivative, the y-values you get back FROM THE DERIVATIVE tell you the slope of a tangent line to the original function at that value of x.
Step-by-step explanation:
Step-by-step explanation:
Add 9 to both sides of the equation.
if you want to create a trinomial square on the left, find value that is equal to the square of half of b
Add the term to each side of the equation
SIMPLIFY >:(
How to Simplify it:
-Raise the -2 to the power of 2
and ten simplify 9 + (-2)^2 :
--Raise -2 to the power of 2 and then add 9 and 4
Factor the perfect trinomial square into (x - 2)^2
Solve the equation for x
How to do it:
-Take the square root of each side of the equation to set up the solution for x
--Then remove the perfect root factor, x - 2 under the radical to solve for x
---Remove parenthesis
----add 2 to both sides of the equation.
the final answer could be shown in different ways,but the exact form is x=±√13+2
In decimal form its x=5.60555127…,−1.60555127…
--this took me like 7 minutes to do im no geek tho lol
Answer:
4 - i
Step-by-step explanation:
Intuitively, the answer will be 4 - i, as the other numbers are too big to have a square as small as 17i. Also, we know that i will not be in the end result, which means that we should have a negative in the result as well.
To test this, we can simply treat 4 and -i as the sides of a right triangle and find the hypotenuse:

So indeed the answer is 4 - i
Answer:
60 minutes, or 1 hour.
Step-by-step explanation:
90 minutes ÷ 3 = 30 minutes, so 30 minutes equals 1 third of the total time he spent at the gym, and he lifted weights for 30 minutes. The remaining 2 thirds, 60 minutes, is the time he spent on the treadmill.