The world record in the long jump is 29 feet and 4 1/2 inches. how many inches short of 10 yards is the record long jump?
1 answer:
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Answer:
Step-by-step explanation:
In this problem, we have the following linear equations:
y=3x+5
y=ax+b
We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.
1. What values for a and b make the system inconsistent?
A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:
a=3
for any value of b
2. What values for a and b make the system consistent and dependent?
A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:
a=3 and b=5
Option C:
Solution:
Given expression is
Note:
To find the correct expression for the above simplified expression.
Option A:
5 can be written as .
It is not the given simplified expression.
Option B:
Cancel the common factor in both numerator and denominator.
It is not the given simplified expression.
Option C:
Cancel the common factor in both numerator and denominator.
It is the given simplified expression.
Option D:
It is not the given simplified expression.
Hence Option C is the correct answer.