m∠3 = 180 - m∠8 = 180 - 123 = 57
m∠1 = m∠3 = 57°
Answer:
The first one is correct
Step-by-step explanation:
You can multiply the base and perpendicular height to find the area.
Answer:
#1). 6 , 18 , 54
#2). 5/3 , 14 / 9 , 41/27
#3). 1.5 , 2.5 , 2.5
Step-by-step explanation:
#1).
g(x) = 3x
g(2) = 3 . 2 = 6
g²(2) = 3 . 3 . 2 = 18
g³(2) = 3 . 3 . 3 . 2 = 54
#2).
g(x) = 1/3 x + 1
g(2) = 2/3 + 1 = 5/3
g²(2) = g(5/3) = 5/9 + 1 = 14/9
g³(2) = g(14/9) = 14/27 + 1 = 41/27
#3).
g(x) = -1 ║x - 2 ║ + 3
g(0.5) = -1 (1.5) + 3 = 1.5
g²(0.5) = g(1.5) = -1(0.5) + 3 = 2.5
g³(0.5) = g(2.5) = -1(0.5) + 3 = 2.5
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.
3x^4 becomes 3(3x)^4=3*3^4*x^4
y^2 becomes (3y)^2=3^2y²
the new z=3² the old z, so b is correct.