Answer: A) 0.1
Explanation:
<span>Each of the integers in the first set could be combined with any from the second set, giving a total of 4 x 5 = 20 possible pairs.Of these the combinations that could give a sum of 23 are (5 + 18), and (9 + 14)<span>This means that the probability of getting a sum of 23 is 2/20 = 1/10</span></span>
48.5 inches is the answer
Answer:
17
Step-by-step explanation:
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3 radical 70. 9 times 70 is 630, 9 squared is 3.
Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
