Answer:
{0,6}
Step-by-step explanation:
-2x^2+12x = 0
Factor out a -2x
-2x(x-6) =0
Using the zero product property
-2x = 0 and x-6=0
-2x = 0
Divide by -2
-2x/-2 = 0/-2
x=0
x-6=0
Add 6 to each side
x-6+6 =0+6
x=6
The solutions are 0 and 6
Answer:
63
Step-by-step explanation:
Hi there!

We are given:
cos(7x)cos(4x) = -1 - sin(7x)sin(4x)
Begin by moving all terms with variables to one side:
cos(7x)cos(4x) + sin(7x)sin(4x) = -1
The corresponding trig identity is cos(A - B). Thus:
cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1
cos(3x) = -1
cos = -1 at π, so:
3x = π
x = π/3
We can also find another solution. Let 3π = -1:
3x = 3π
x = π
Thus, solutions on [0, 2π) are π/3 and π.
In the middle:
x-coordinate= {7-(-1)}/2= 4
y-coordinate= (8-2)/2= 3
So centre is (4,3)