Answer:
B. 10
C. All real numbers.
Step-by-step explanation:
6 (2x-4) = 8(x + 2)
Distribute the numbers outside of the factors:
12x - 24 = 8x + 16
Subtract both sides by '8x'
12x - 8x - 24 = 8x - 8x + 16
4x - 24 = 16
Add '24' to both sides:
4x = 40
Divide both sides by 4:
x = 10. Therefore, <u>B. 10</u> is the correct answer.
3(4p - 2) = -6(1 - 2p)
Distribute the numbers similarly to the example before:
12p - 6 = -6 + 12p
Subtract '12p' from both sides:
12p - 12p -6 = -6 + 12p - 12p
0 -6 = -6
Add '6' to both sides:
0 - 6 + 6 = -6 + 6
0 = 0
Therefore, the solution consists of <u>all real numbers.</u>
Given statement is "What is the intersection of the given lines AE and DE?".
That gives us information that there are two lines named AE and DE which intersect each other. Now we have to find their intersection point.
If you see carefully the name of both lines AE and DE then you will find that; they have common letter "E" in their name.
That means point "E" lies on both lines.
We know that intersection point always lies on both lines.
Which proves that point "E" is the intersection point.
Hence choice "<u>B. Point E" </u>is the final answer.
Answer is (-1.5,5)
Midpoint formula is M= ((X1+X2)/2), ((Y1+Y2)/2)
So it becomes ((-4+1)/2), ((9+1)/2)= (-1.5,5)
Answer is (0,3)
hope it helps
