By using the associative property [(5*3)*12] is equal to
[5*(3*12)] .
Option (A) is correct .
Step-by-step explanation:
Definition of associative property of multiplication
Let us assume that x , y and z be the three real numbers .
x × (y × z ) = (x × y) × z
This is called the associative property .
As given the expression be as follow
= [(5*3)*12]
Here
x = 5 , y = 3 , z = 12
By using the associative property
[(5*3)*12] = [5*(3*12)]
Therefore by using the associative property [(5*3)*12] is equal to
[5*(3*12)] .
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Answer:
Associative property: a + (b + c), a – (b – c) ≠ (a – b) – c, a × (b × c) = (a × b) × c, and a ÷ (b ÷ c) ≠ (a ÷ b) ÷ c
When a = ½ and b = ¾
Now, for checking a × b = b × a, consider LHS and RHS.
LHS = a × b = ½ × ¾ = ⅜
RHS = b × a = ¾ × ½ = ⅜
Thus, LHS = RHS (Hence proved)
Step-by-step explanation:
Answer:
1. 8x + 2y = 16
Step-by-step explanation:
3x - 12y = 10
12y = 3x - 10
y = 1/4 x - 5/6 .... slope: 1/4
perpendicular line slope: -4
8x + 2y= 16
2y = -8x + 16
y = -4x + 8 .... slope: -4
Remember you can' do anything to boht sides, but when times negative, flip sign
distributive property
a(b+c)=ab+ac
distribute the -4
-8+4x
now we have
2x<8-8+4x
2x<4x
minus 2x both sides
0<2x
therefor
0<x
answer is x>0
