Answer: The corrected statement is A - B = -B + A.
Step-by-step explanation: Given that the subtraction of a matrix B may be considered as the addition of the matrix (-1)B.
We are given to check whether the commutative law of addition permit us to state that A - B = B - A.
If not, We are to correct the statement.
If the subtraction A - B is considered a the addition A + (-B), then the commutative law should be stated as follows :
A + (-B) = (-B) + A.
That is, A - B = -B + A.
Thus, the corrected statement is A - B = -B + A, not B - A.
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Answer:
1/2
Step-by-step explanation:
1/4 (4x - 8) + 3x =0
distribute the 1/4
x-2+3x=0
combine like terms
-2+4x=0
move -2 to the other side [by ADDing +2 to each side
4x=2
divide [by 4 on both sides]
x=1/2
A. -2x + 3y = -15
-2x + 2x + 3y = 2x - 15
3y = 2x - 15
3 3
y = ²/₃ - 5
A is correct.
B. y = ²/₃ - 5
B is also correct.
C. 6y = 4x - 30
6 6
y = ²/₃x - 5
C is also correct.
D. y + 3 = ²/₃(x - 3)
y + 3 = ²/₃(x) - ²/₃(3)
y + 3 = ²/₃x - 2
- 3 - 3
y = ²/₃x - 5
D is also correct.
The answer to the problem is A, B, C, and D.
Answer:
t12= -8
Step-by-step explanation:
t3
a+2d=10 (1)
t10
a+9d=-4. (2)
From (1)
a=10-2d. (3)
Sub into (3) into equ (2)
a+9d=-4
10-2d+9d=-4
10+7d=-4
7d=-4-10
7d=-14
Divide both sides by 7
d=-14/7
d= -2
10=a+2d
10=a+2(-2)
10=a-4
10+4=a
14=a
a=14
t12=a+11d
= 14+11(-2)
=14-22
= -8
t12= -8