When you set up 3 * (1/3), you're both multiplying and dividing by a 3. these two cancel out, and you're left with one. 3 *(1/3) is simply 1.
12 * (1/3), when you set it up, doesn't cancel out the same. multiply straight across the top (12 * 1), then divide by the bottom (3). 12/3 = 4, so 12*(1/3) is 4.
9 * (1/9) gives you the same result as the first one. the multiplied 9 and the divided 9 cancel out, and you're left with 1.
Answer:
a = 36, b = 54
Step-by-step explanation:
Since the terms are in arithmetic progression then there is a common difference d between consecutive terms , that is
b - a = 72 - b ( add b to both sides )
2b - a = 72 → (1)
and
a + b - 72 = b - a ( subtract b - a from both sides )
2a - 72 = 0 ( add 72 to both sides )
2a = 72 ( divide both sides by 2 )
a = 36
-------------
Substitute a = 36 into (1) and evaluate for b
2b - 36 = 72 ( add 36 to both sides )
2b = 108 ( divide both sides by 2 )
b = 54
-----------------
Thus a = 36 and b = 54
The sequence is therefore 36, 54, 72, 90 , .....
<h3>
Answer: x = 9</h3>
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The diagram shows:
Recall that the area of a parallelogram is equal to the base times height
area = base*height
We're told that the area is 117 square units, so that means 13x = 117.
Divide both sides by 13 to isolate x
13x = 117
13x/13 = 117/13
x = 9
The height of the parallelogram is 9
Note how:
area = base*height = 13*x = 13*9 = 117
which helps confirm we have the correct height value for x.
Answer:
-12 - 10i.
Step-by-step explanation:
-9 - 8i - (3 + 2i)
= -9 - 8i - 3 - 2i
= -12 - 10i.
Answer:
its 104
Step-by-step explanation:
