Answer:
value of a.b = -4
Step-by-step explanation:
We need to find a.b
a= 4i-4j
b = 4i+5j
We know that i.i =1, j.j=1, i.j =0 and j.i=0
a.b = (4i-4j).(4i+5j)
a.b = 4i(4i+5j)-4j(4i+5j)
a.b = 16i.i +20i.j-16j.i-20j.j
a.b = 16(1) +20(0)-16(0)-20(1)
a.b = 16 +0-0-20
a.b = 16-20
a.b =-4
So, value of a.b = -4
Answer:
How do you describe the solution set to a system of linear inequalities?
Step-by-step explanation:
The solutions of a system of linear inequalities are all the ordered pairs that make all the inequalities in the system true.
Answer: 2=x
Step-by-step explanation:
4x-1 + 2x-1 = 5x
First combine like terms together
4x-1 + 2x-1 is 4x+2x-1-1
4x+2x-1-1 =6x-2
4x-1 + 2x-1=6x-2
6x-2=5x
The oppisite of 6x is -6x so -6x on both sides of equation to keep it balanced
6x-6x-2=5x-6x
0-2=-1x
-2=-1x
Divide both sides of the equation by -1 since -1 is being multiplied by x and the oppisite of multiply is divide
-2/-1=-1x=-1
2=x
Answer:
0, 5.5
Step-by-step explanation:
when they ask for a y-intercept, x is always zero, so now we eliminate two of the answers, and we will only have (0, 1) or (0, 5.5). At the beginning of the question it said a plant is currently at 5.5, so it started as 5.5 (0, 5.5)
so THE ANSWER IS (0, 5.5)
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