Answer:
5
Step-by-step explanation:
Remember, the rank of a matrix is the number of pivots or number of rows different of zero in the echelon form of the matrix.
Then, if A is a matrix
the maximum number of pivots that can have is one by row, that is, 5.
Then the maximum rank that A can have is 5.
Answer:
1. A = 40 units²
2. A = 72 units²
3. B) 45
Step-by-step explanation:
1. This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 4(1/2 x 5 x 4)
= 40 units²
2. This shape comprises two pairs of congruent triangles.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)
= 72 units²
3. Count the number of shaded squares:
9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²
Answer:
n=-11
Step-by-step explanation:
Since -15 is 4 less than -11, it would be -11.
Hope this helped. :)
Answer:
c. (x+3)(x+9)
Step-by-step explanation:
x^2+12x+27
The middle number is 12 and the last number is 27.
We need two numbers that...
Add together to get 12
Multiply together to get 27
Try 3 and 9:
3+9 = 12
3*9 = 27
Fill in the blanks in
(x+_)(x+_)
with 3 and 9 to get...
(x+3)(x+9)