Answer:
4y = 6x + 40
Step-by-step explanation:
The general equation of a straight line is y = mx + b
m is the slope and b is the y-intercept
let us write both equations in this form;
we have this as;
6y = -4x + 1
y = -4x/6 + 1/6
and;
2x + 3y = 18
3y = -2x + 18
y = -2x/3 + 6
So firstly we want to find an equation that is perpendicular to the first
When two lines are perpendicular, their slopes has a product of -1
The slope of the first line is -4/6
let the slope of the line we want be m
As per they are perpendicular;
-4/6 * m = -1
-4m/6 = -1
-4m = -6
m = 6/4
So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6
we can choose 10
and we have the equation as:
y = 6x/4 + 10
multiply through by 4
4y = 6x + 40
Answer:
C
Step-by-step explanation:
In total 660 rolls were made in all
Answer:
4
Step-by-step explanation:
f(x) (8x² - 3x + 1) / (2x² + 2x +3)
the first thing I did was to graph the function to see if there was a horizonal asymptote using Desmos graphing calculator and there was and it was 4
you want to take the limit as x approaches infinity
essentially lim(x to ∞) of f(x) = 8x²/ 2x² is the dominate terms
lim(x to ∞) of f(x) = 8 / 2
lim(x to ∞) of f(x) = 4
