Using similar triangles, we see that 12/x = x/16. Multiplying by 16x, we see that x^2=12*16=192.
By the Pythagorean Theorem,

. Since x^2=192, we know that

. Subtracting 144 from both sides, we see that

, so y=

.
No. It is quadratic since it would cross the x-axis twice
Answer: A.
The system is consistent because the rightmost column of the augmented matrix is not a pivot column.
Explanation: a system is consistent if and only if the rightmost column of the augmented matrix is not a pivot column. Since every column of the coefficient matrix is a pivot column, none of the leading coefficients are in the rightmost column of the augmented matrix. Therefore the rightmost column of the augmented matrix cannot be a pivot column and the system must be consistent.
Answer:
-3
Step-by-step explanation:
9-3(2)2
9-(6)2
9-12
-3
Answer:
Step-by-step explanation:
Simplifying
3(2x + -1) = 21
Reorder the terms:
3(-1 + 2x) = 21
(-1 * 3 + 2x * 3) = 21
(-3 + 6x) = 21
Solving
-3 + 6x = 21
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 6x = 21 + 3
Combine like terms: -3 + 3 = 0
0 + 6x = 21 + 3
6x = 21 + 3
Combine like terms: 21 + 3 = 24
6x = 24
Divide each side by '6'.
x = 4
Simplifying
x = 4