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)
The sum of all of the exterior angles of any regular polygon is 360 (I'm assuming by decagon you mean a regular dodecagon).
Because the total has to be 360, and a decagon has 10 sides, you divide 360 by 10 to get each exterior angle.
360 ÷ 10 = 36, so each exterior angle of a decagon is 36 degrees.
Angle BCA = 180 - 100
angle BCA = 80
Isosceles triangle ABC has two congruent angles, A and B
2x + 80 = 180
2x = 100
Angles A and B = 50 or y and z = 50
I think lines AB and DE are supposed to be parallel, so angles y and x are consecutive interior angles (supplementary)
x = 180 - 50 = 130
Is it written (-2)^4 or
-2^4 ?
These are different problems.
The first (-2)^4 means
(-2)(-2)(-2)(-2) = 16
The second -2^4 means
- 2 * 2 * 2 * 2 = -16
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:




