The x coordinate of S will be 1/2 * 2a = a.
and since the half triangle is 30-60-90 the y coordinate will be sqrt3 a
so S is (a , sqrt3a)
Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ - 10, 10 ], thus
f(b) = f(10) = 10² + 9(10) + 18 = 100 + 90 + 18 = 208
f(a) = f(- 10) = (- 10)² + 9(- 10) + 18 = 100 - 90 + 18 = 28, thus
average rate of change =
=
= 9
Coordinate form is (x,y) using the variables respectively.
2x+2y=-2
-2y
2x= -2-2y
/2
x=-1-y
9x-6y=36
9 (-1-y)-6y=36
-9-9y-6y=36
+9.
-9y-6y=45
-15y=45
/-15
y=-3
x=-1-y
x=-1- (-3)
x=2
answer: (2,-3)