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Answer: The system consists of parallel lines
Step-by-step explanation:
Given system of lines :
Substitute in
, we get
, which is not true.
That means , system has no solution.
i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]
Answer:
the statement shows the inverse property of addition as the sum of a number and its inverse is zero.
Step-by-step explanation:
As we know that Inverse Property of Addition states if you add any number to its opposite, the result will be zero.
For example, 13 + (-13) = 0 shows that -13 is the additive inverse of 13.
In other words, the sum of a number and its inverse is zero.
Now checking from the available options,
Thus,
Therefore, the statement shows the inverse property of addition as the sum of a number and its inverse is zero.
Answer:
Approximately 54.54% of race happened in the first week.
Step-by-step explanation:
We are given the following in the question:
Length of bike race in three weeks = 2,200 miles
Race covered in first week = 1,200 miles
Percentage of race covered in first week =
Thus, approximately 54.54% of race happened in the first week.
Given:
In a two-digit number, the tens digit is 5 less than the units digit.
The number itself is five more than three times the sum of its digits.
To find:
The number.
Solution:
Let the two digit number is ab. So,
Tens digit is 5 less than the units digit.
...(i)
The number itself is five more than three times the sum of its digits.
...(ii)
Using (i) and (ii), we get
Putting b=8 in (i), we get
Therefore, the required number is 38.