Answer:
Step-by-step explanation:
Triangle P is mapped onto Q so P is the initial triangle that will transformed.
We can rotate counterclockwise 90° but we cannot do it about the origin (0,0) because the red point (5, 1) will end up at ( -1, 5) .
We see that the point (5, 1) ends up at ( -2, 4) so the center of rotation is lower than the origin.
The transformation is rotation of 90° about the point (0,-1)
Answer:
224
Step-by-step explanation:
We will need the following rules for derivative:
Sum rule.
Constant multiple rule.
Power rule.
Slope of y=x is 1.
by sum rule.
by constant multiple rule.
by power rule.
Now we need to find the derivative function evaluated at x=9.
In case you wanted to use the formal definition of derivative:
Or the formal definition evaluated at x=a:
Let's use that a=9.
We need to find f(9+h) and f(9):
(used foil or the formula (x+a)(x+a)=x^2+2ax+a^2)
Combine like terms:
Ok now back to our definition:
Simplify by doing 1044-1044:
Each term has a factor of h so divide top and bottom by h:
