Note that
(4sqrt3)^2 = (2sqrt3)^2 + 6^2 [ 48 = 12 + 36] so the triangle is a right angled one with hypotenuse AB
So angle C = 90 degrees
sin A = 2 sqrt3 / 4 sqrt3 = 1.2 giving A = 30 degrees
and B = 90 - 30 = 60 degrees
A = 30, B = 60 and C = 90 degrees
Answer:
(x, y) =(-4,10)
Step-by-step explanation:
6x+2y=-4
3x+2y=8 /*(-1)
6x+2y=-4 (1)
-3x-2y=-8 (2)
6x+2x=-4
(1)+(2) 3x=-12
6x+2x=-4
x=-12/3
6x+2y=-4
x=-4
6*(-4)+2y=-4
x=-4
-24+2y=-4
x=-4
2y=-4+24
x=-4
2y=20 y=20/2 y=10
(x,y)=(-4,10)
Answer:
f(g(7)) = 22
Step-by-step explanation:
First find the general form of the new equation, f(g(x)):
f(x)=3x + 2
g(x)=x - 1/3
f(g(x)) = 3(x - 1/3) + 2
You can simplify that, or alternatively just plug in 7 now and solve:
f(g(7)) = 3(7 - 1/3) + 2
f(g(7)) = 3(20/3) + 2
f(g(7)) = 20 + 2
f(g(7)) = 22
Answer:
0.4
Step-by-step explanation:
Hope that helps!
