Answer:
-4/9
Step-by-step explanation:
We first calculate the first bracket.
[2/3-(-4/9)]
= (2/3+4/9) (we cancel out the negatives)
= (6/9+4/9) (common denominator)
= 10/9
Then we convert -2 1/2 into an improper fraction.
-2 1/2
= -5/2
Finally we calculate the division by swapping the numerator and denominator of -5/2.
10/9 / -5/2
= 10/9 * -2/5
= -20/45
= -4/9 (simplify the terms)
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the required number line is not included in the question.
A general explanation is as follows:
An open circle means > or <
A closed circle means >= or <=
Take, for instance, the attached number line:
The open dot on -3 means >-3 or <-3
The arrow points to the right direction, means >-3 i.e. greater than -3
Hence, the inequality is:
Answer:
Length of Line AC = 26 units
Step-by-step explanation:
Given:
Line AC = [3x + 1] + 8
Line BC = [x - 2] + 2
Find:
Length of Line AC
Computation:
Line AB ║ Line L
So,
Using Mid-Point theorem;
[3x + 1] / 8 = [x - 2] / 2
2[3x + 1] = 8[x - 2]
6x + 2 = 8x - 16
8x - 6x = 16 + 2
2x = 18
x = 9
So,
Line AC = [3x + 1] + 8
Line AC = [3(9) + 1] + 8
Line AC = [27 + 1] + 8
Line AC = 28 + 8
Length of Line AC = 26 units
