Consider the graph with four lines below. On a coordinate plane, line a has a positive slope and goes through points (negative 1
, 0) and (1, 2), line b has a negative slope and goes through (negative 2, 2) and (negative 1, negative 1), line c has a negative slope and goes through (0, 3) and (1, 0), and line d is horizontal at y = 1. By inspection, which system would have no solution? line a and line b line a and line c line b and line c line b and line d
1 answer:
Answer:
The correct option is;
line a and line b
Step-by-step explanation:
Lina a passes through (-1, 0) and (1, 2)
Line b passes through (2, 2) and (-1, -1)
Line c passes through (0, 3) and (1, 0)
Line d passes through y = 1
An equation that has no solution
By examination, from the plot of the coordinates using an online tool, the system that would have no solution is the system of line a and line b because they are parallel lines and cannot meet or have a point where there is a common solution, therefore, there are no solutions when the equations of the two lines are combined in one equation
Slope of line a = -2/-2 = 1
Slope of line b = 3/3 = 1
The slopes of lines a and b are equal, therefore, line a and line b are parallel.
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Answer: 3 ×
Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only 1 digit to the left of the decimal point. In this case, we can write 30,000 as 3.0000 and notice that there is only 1 digit to the left of the decimal point.
Next, we count the number of places the decimal point would need to move to get back to the original number which is 30,000. Since we would need to move the decimal point 4 places to the right, this gives us an exponent of positive 4. So, we can write this in scientific notation.
3.0000 ×
The exponent is positive because we would need to move the decimal point 4 places to the right in order to get back to our original number.
We can also write it as 3 × since we can drop zeroes at the end of the decimal.
Therefore, 30,000 can be written in scientific notation as 3 × .