Given:
For a function f,
.
To find:
The coordinates of a point on the graph of f.
Solution:
We have,

It means the value of function f is 10 at -4.
On a coordinate plane x-axis represents the input values and y-axis represents the output values of a function. So,
x-coordinate = input value = -4
y-coordinate = output value = 10
Therefore, the required coordinates of a point on the graph of f are (-4,10).
Given,
The linear pair of the equation is,

Required
The solution of the linear equation.
Taking the equation first as,

Substituting the value of y in second equation then,

Substituting the value of x in first equation then,

Hence, the solution of the system is (1, -10).
In a regular polygon, each exterior angle equals each central angle.
central angle = 360 / #sides
#sides = 360 / central angle
#sides = 360 / 60
#sides = 6
Step-by-step explanation:
9x² + 6 = 12x
3x² + 2 = 4x
3x² − 4x + 2 = 0
Use quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ -(-4) ± √((-4)² − 4(3)(2)) ] / 2(3)
x = [ 4 ± √(16 − 24) ] / 6
x = [ 4 ± √(-8) ] / 6
x = (4 ± 2i√2) / 6
x = (2 ± i√2) / 3
Evaluate alternatives and select a solution. Hope this helps