Answer:
Answer is C
Step-by-step explanation:
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X²+14x+49+17=-96+49
(x+7)²=-64, x+7=±8i, x=-7±8i, so x=-7+8i or -7-8i.
The total number of digits used when the first 2002 positive even integers are written is 4 digits
<h3>How to find the number of sequence?</h3>
Using arithmetic sequence,
nth term = a + (n - 1)d
where
- a = first term
- d = common difference
- n = number of terms
a = 2
d = 2
nth term = 2 + (2002 - 1)2
nth term = 2 + 4002
nth term = 4004
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-2/3 is the simplified form of the expression -1/2 ÷ 3/4.
<h3>What is the simplified form of the given expression?</h3>
Given the expression in the question;
-1/2 ÷ 3/4
To divide by a fraction, multiply by its reciprocal.
-1/2 ÷ 3/4
Reciprocal of 3/4 is 4/3
Hence
-1/2 × 4/3
Next, we cancel out the common factor of 2
Factor out 2 from 4
-1/2 × 2(2)/3
-1/1 × 2/3
( -1 × 2 ) / ( 1 × 3 )
(-2) / (3)
-2/3
Therefore, the simplified form is -2/3
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