Hi there! :)
6c - (3 - 3c) = 24
Distribute the negative sign with terms inside the parenthesis;
6c - (3) - (-3c) = 24
6c - 3 + 3c = 24
Combine like terms:
9c - 3 = 24
Add 3 to both sides:
9c = 27
Divide both sides by 9:
c = 3.
Step-by-step explanation:
I'll do 2.
Alright,Alex let say we have factored a quadratic into two binomial, for example
If we set both of those equal to zero
We can used the zero product property in this case to find the roots of the quadratic equation.
This means that
This means we set each binomal equal to zero to find it root.
So our roots are negative 3/5 and negative 2/3 using zero product property
The factored form for this question is (5x-1)(x-5)
Wait so are the sides of the octagon 9 inches each or do we have to find that?
Lines that are parallel have the same slope, and the given line (y = 6x - 5) has a slope of 6; we are looking for a line with a slope of 6.
To form an equation for a line, you need to know the y-intercept (the point at which the line intersects the y-axis). The first step to finding the y-intercept is to plot the given point. After you've done that, count six units up (this is our slope) and one to the right; plot the point. Lastly, draw the line by connecting the points and see where the line intersects the y-axis.
My graph shows that the line intersects the y-axis at -17. All that's left now is to put our information together into an equation. I'm assuming the problem wants the equation in slope-intercept form; slope-intercept form is y = mx + b where m is the slope and b is the y-intercept, so it would look like this:
y = 6x -17
Hope this helps.
