Answer: Width = 3cm
Length = 8cm
Step-by-step explanation:
Length = x+5 cm
Width = xcm
Area = 24cm²
Area of a rectangle = length × width
x × (x + 5) = 24
x² + 5x = 24
x² + 5x - 24 = 0
x² + 8x - 3x - 24 = 0
x(x + 8) - 3(x + 8) = 0
x - 3 = 0
x = 3
Width = 3cm
Since length = x + 5 = 3 + 5 = 8cm
Length = 8cm
Treat 12 as 12/1 that means 12 divided into 1 part
1/4 times 12/1
multiply the top and the bottom becuase

times

=

so
1/4 times 12/1=(1 times 12)/(4 times 1)=12/4=3/1=3
the answe ris 3
range = largest - smallest
= 22 - (-15)
= 22 + 15
= 37
Answer with Step-by-step explanation:
We are given that
A and B are matrix.
A.We know that for two square matrix A and B
Then, 
Therefore, it is true.
B. det A is the product of diagonal entries in A.
It is not true for all matrix.It is true for upper triangular matrix.
Hence, it is false.
C.

When is a factor of the characteristics polynomial of A then -5 is an eigenvalue of A not 5.
Hence, it is false.
D.An elementary row operation on A does not change the determinant.
It is true because when an elementary operation applied then the value of matrix A does not change.
Answer:
a positive even number.
Step-by-step explanation:
I suggest plugging in random positive even numbers and finding a pattern. (-12)^2 = 144. (-12)^ 4= 20,736. this is because two negatives, when multiplied, turn to a positive. the n is how many times negative 12 is multiplied with itself