The function f(x) is:
f(x)=x
This is because the line f(x) passes through the points (-1,-1), (0,0), (1,1) etc.
The function p(x) is:
p(x)=mx+C
Whereby (m) is the slope and (C) is a constant.
m=-4/3, as m=tan(ω)=O/A=-4/3 as slope is negative.
Now when y=-3, x=-3.
So:
-3=-4/3 *(-3) +C
-3= 4 + C
C=-7
This means that:
p(x)=-4/3x -7
Now, where p(x)=g(x), x=-6.
p(-6)=-4/3 * (-6) -7
p(-6)=24/3 -7
p(-6)=8-7
p(-6)=1
Therefore:
p(x) and g(x) meet at (-6, 1) and the solution to p(x)=g(x) is x=-6.
First, simplify the equation to slope intercept form to find the slope;
2x+3y=4
3y=4-2x
y=(-2x+4)/3
The slopes of parallel lines are the same, therefore, the slope of the second line would also be -2/3
Write out the slope intercept form with the information we know and input the coordinates of the point;
y=mx+c
-4=(-2/3)(1)+c
-4+(2/3)=c
(-12/3)+(2/3)=c
-10/3=c
Therefore, the final equation is y=-2/3x-10/3
Hope I helped :)
Bisect each angle of the triangle using a compass then where the lines the have been bisected meet up, from there, put the the compass and then your pencil tip on the perimeter of the triangle and draw a circle
The answer would be B because you would divide the 5 numbers less than 5 (1, 2, 3, 4, and 5) by 12 and you get 0.416 repeating this rounding to 0.42
