Find the value of -|-2 + 9|A. 7B. -11C. -7
1 answer:
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<h3>Answer: 5/9</h3>
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Explanation:
means that the 5's go on forever because of that horizontal bar over top. So we can write it as
The three dots indicate it goes on forever following that pattern.
Let
x = 0.55555....
Multiply both sides by 10 to move the decimal point 1 spot to the right
10x = 5.55555....
Notice how both x and 10x involve a decimal number such that we have a string of 5's going on forever. If we subtract the two equations, then 10x-x becomes 9x, while the (5.55555....) - (0.55555....) simplifies to 5. The decimal portions cancel out when we subtract since they line up perfectly. We're effectively subtracting 5-0 when we cross off the decimal portions.
After those subtractions, we're left with 9x = 5 which solves to x = 5/9 when you divide both sides by 9.
Use of a calculator should show that 5/9 = 0.555555.... to help confirm the answer. Your calculator may show the last digit to be a 6 instead of a 5, but this is due to rounding. Ideally you should have a string of infinitely many 5's, but the calculator can only how so many digits.
ANSWER
EXPLANATION
We want to find the equation of the straight line given on the graph.
The general form of a linear equation is given as:
where m = slope; b = y-intercept
To find the slope, we apply the formula for slope:
where (x1, y1) and (x2, y2) are two points on the line
Let us pick (1,2) and (4,4)
Therefore, the slope is:
To find the equation, we now apply the point-slope formula:
Therefore, we have that the equation of the line is:
That is the equation of the line.