A matrix is diagonal if
In other words, you want non-zero elements only when the indices of the row and the column are the same: the first element of the first row must be non zero, the second element of the second row must be non-zero, and so on. All other elements must be zero.
Answer:
Option (3)
Step-by-step explanation:
If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.
(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)
= -2x³ + x² + 9x + 12x² - 6x - 54
= -2x³ + 13x² + 3x - 54
Therefore, Option (3) will be the correct option.
Answer: x=12
Step-by-step explanation:
1. Accoding to the Side-Splitter Theorem, if a line interesect two sides of the triangle and it is parallel to the third side, then the other two sides are divided by the line proportionally.
2. Then, you can form the following proportion:
3. Substitute values and solve for x:
The population is increasing greatly at a very fast rate compared to the rest of the data.