This equation has infinite solutions, any real number makes it true.
The correct answer:
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Explanation:
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Assuming you mean:
" √(9a²) + (√49b) − a + √b " ;
Simplify the expression:
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Note that: " √(9a²) = 3a " ;
"√(49b) = 7√b " ;
And we write the expression
→ " 3a + 7√b − a + √b " ;
Combine the "like terms:
" + 3a − a = 2a " ;
" + 7√b + 1√b = 8√b " ;
Rewrite:
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" 2a + 8√b " ; which is: Answer choice: [C]: " 2a + 8√b " .
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A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
The area of the square is obtained by taking the square of the length of one side. Since it is said that the area of the square is less than 100 m^2, taking the square root of that where: sqrt (100) = 10, the side of that square should be less than 10 as well. Among the choices, D. 0 <y <10 (where y = length of side of square) is the correct answer.
