If the problem is 3(15x - 17), none of those expressions are correct. You would multiple the 3 to each term (hence the "distributive" part) to get 45x - 51.
Answer:
1. y ax
|
A-------------------------------B
|
------------C---------------------
|
|__________________x ax
for this, your A might be (0,5), B (5,5), C (2,2).
parallel means railroad tracks: same slope, different intercepts.
line AB in this case has a slope of 0, intercept (0,5), so y₁=0x+5 or just y₁=5
the line passing through C also has slope 0, but intercept (0,2), so y₂=0x+2 or just y₂=2
2. perpendicular means that the slopes of two lines multiply out to -1. If line AB has, for example, a slope of 2/3, then the line passing through C would have slope -3/2 (negative reciprocal). To make things easier have either point A or B be on the x or y axis
khan academy has some helpful videos :)
https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-parallel-perpendicular-eq/v/perpendicular-lines
Hey there! I'm happy to help!
We have 1/3 of m. This is the same thing as multiplying 1/3 by m, so we have 1/3m.
And we increase by 2, which is +2.
So, our final result is 1/3m+2.
Have a wonderful day! :D
Answer:
Step-by-step explanation:
One of the more obvious "connections" between linear equations is the presence of the same two variables (e. g., x and y) in these equations.
Assuming that your two equations are distinct (neither is merely a multiple of the other), we can use the "elimination by addition and subtraction" method to eliminate one variable, leaving us with an equation in one variable, solve this 1-variable (e. g., in x) equation, and then use the resulting value in the other equation to find the value of the other variable (e. g., y). By doing this we find a unique solution (a, b) that satisfies both original equations. Not only that, but also this solution (a, b) will also satisfy both of the original linear equations.
I urge you to think about what you mean by "analyze connections."
