Answer:
a = 18
Step-by-step explanation:
2(a-7)=a+4
Distribute 2 into left side: 2a -14 = a + 4
subtract a from both sides 2a-a-14 = a+4-a
Simplify: a - 14 = 4
Add 14 to both sides: a - 14 + 14 = 4 +14
Simplify: a = 18
If wanted, plug a into original to double check work:
plug in: 2 (18-7) = 18+4
do parenthesis first: 2 (11) = 18+4
do multiplication : 22 = 18+4
additions: 22 =22
a = 18 is correct.
Y = (x +7)^2. The parabola is going into the negative region. The x value must be positive.
Step-by-step explanation:
First we solve it.
I'll use substitution.
In the first equation y equals -2x+2 so we can apply that to the second equation
2y + 4x = 4
2(-2x+2) + 4x = 4
distribute
-4x+4+4x=4
simplify
4=4
To figure out how many solutions it has:
•If both side of the equal sign are exactly the same: Infinitely many
ex: 6x=6x
•If both sides of the equal sign do not match when completely simplified: No solutions
ex: 3x=-5x
•If it creates an equation: 1 solution
ex: x=3+2y
Since both sides of the equal sign are 4, we have infinitely many solutions.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
2
Step-by-step explanation:
What is so special about the centroid? It is the distinct point that each of the three medians intersect. Therefore, from this definition we can figure out through some geometric proof (I'm not going to go into this) the following:
If you draw the medians, you will notice that they intersect at exactly one point. That is the centroid. You will also notice that the centroid splits the median into 2 parts: top and bottom. The proof suggests that the top part is 2 times the bottom part.
In this case, the centroid is D and the top point is B. Therefore, we can figure out that BD, the top part, must be 2 times the bottom part, which is BE. Thus, we determine that BE is 2 because 4/2 = 2.
I would encourage you to draw it out so you can understand. Unfortunately, typing may not work all the time
