Answer:

Step-by-step explanation:
Given
x² + x
To complete the square
add ( half the coefficient of the x- term )² to x² + x
x² + 2(
)x + (
)² = x² + x + 
= (x +
)² ← perfect square
Answer:
m = 2/3
Step-by-step explanation:
Slope is defined as the ratio rise/run.
As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30. Thus, the slope of the line is m = 30/20, or 2/3.
Answer:
2/3 and -1/3
Step-by-step explanation:
We have to find which two numbers on the number line are at a distance of 1/2 from 1/6.
The two numbers that are 1/2 units away from 1/6 will be:
1) 
2) 
Thus the two numbers are: 2/3 and -1/3
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Answer:

Step-by-step explanation:
3
- 2 
-
First change the two mixed numbers to improper fractions. Multiply the whole number by the denominator then add the numerator to the answer.
Bring the fractions to the same denominator by finding the lowest common multiple of both denominators
Then the answer becomes
.
HOPE THIS HELPED