Answer:
option c
Step-by-step explanation:
(4 - 2i) + (12 + 7i)
multiply the brackets first
4 - 2i + 12 + 7i
combine like terms
16 + 5i
Lets name the shortest piece a, the medium b and the longest c
Together they are 90inches

The longest is 30 inches longer than the shortest

The third piece is half the lenght of the longest

So if you place c=a+30 in the other 2 equasions you get

And

Now if you put this 2 toghether u get

Multyplied by 2


Meaning that a=18inches
Now that we have the lenght of a we put it in the previous equasion

So b=48/2 which means b=24inches
And together they must be 90 so

C=48inches
2 (3x - 7) = -4x - 6 + 9x - 8 Simplify 2 (3x - 7)
6x - 14 = -4x - 6 +9x - 8 Combine like terms (-4x and 9x) (-6 and -8)
6x - 14 = 5x - 14 Subtract 5x from both sides
x - 14 = -14 Add 14 to both sides
x = 0
Check your answer.
2 (3x - 7) = -4x - 6 + 9x - 8 Substitute x for 0
2 (3(0) - 7) = -4(0) - 6 + 9(0) - 8 Multiply 3(0)
2 (0 - 7) = -4(0) - 6 + 9(0) - 8 Multiply -4(0)
2 (0 - 7) = 0 - 6 + 9(0) - 8 Multiply 9(0)
2 (0 - 7) = 0 - 6 + 0 - 8 Subtract (0 - 7)
2(-7) = 0 - 6 + 0 - 8 Multiply 2(-7)
-14 = 0 - 6 + 0 - 8 Get rid of the unneccesary 0s
-14 = -6 - 8 Subtract (-6 - 8)
-14 = -14
So, x = 0 .
Answer:
152 lies between two consecutive integers 151 and 153.
Step-by-step explanation:
Let n be the given integer.
The predecessor of any integer n is given by n-1.
Similarly the successor of an integer n is given by n+1.
For example: Let n be 100
Then its predecessor is 100-1 = 99
Its successor is 100+1 = 101
In the given question, n=152.
Predecessor of 152 = 152 - 1 = 151
Successor of 152 = 152 + 1 = 153
So 152 lies between two successive integers 151 and 153.