negative multiplied by positives = negative numbers
3 x 5 = -15
negative multiplied by a negative = a positive number
-3 x -2y = +6y
so combine both gets -15 +6y
or a better way to write it is 6y-15
The derivative of 
at a point 
in the direction of a vector 
is
We have
and
Then the derivative at 
in the direction of 
is
Answer:
Scalene Triangle
Step-by-step explanation:
If you mark the points on the graph, all three sides have different lengths and angles, therefor it is a scalene triangle.
It cannot be a right triangke bc there is no right angle, and no obtuse either so that crosses out obtuse as an option as well. In order to be an isoceles triangle it must have two sides of equal length, but it does not.
The required composite value f(g(-8) is 28
A composite function is a function inside another function. Given the following functions
f(x) = x² - 3x - 12
g(x) = -x - 12
Required composite function is f(g(-8))
First we need to get f(g(x))
f(g(x)) = f(-x-12)
f(-x-12) = (-x-12)² - 3x - 12
Expand
f(-x-12) = x² +24x + 144 - 3x - 12
f(-x-12) = x² +21x + 132
f(g(x)) = x² +21x + 132
Substitute x = -8 into the result
f(g(-8)) = (-8)² +21(-8) + 132
f(g(-8)) = 64 - 168 + 132
f(g(-8)) = 28
Hence the required composite value f(g(-8) is 28
Learn more here : brainly.com/question/3256461
