Answer: 10
Step-by-step explanation:
Vieta's formulas :
5 - 3i + 5 + 3i = b ⇒ b =10
Now, we have the equation:
x² -10x + 34 = 0
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The perimeter is composed of two straight parts and two semicircles. We can use this to break down the problem.
We can find the straight parts easily. They are given in the problem.
straight parts: 82 x 2 = 164 m
The two semicircles make a circle. We just have to find the circumference of a circle with a diameter of 66 cm to get the length of the semicircles.
semicircles: 2(π)(66/2) = 66(3.14) = 207.24 m
answer: 164+207.24 = 371.24 m
Answer: The average of the first two test scores is 97.
Step-by-step explanation: Given that Kristie has taken five tests in science class. The average of all five of Kristie's test scores is 94 and the average of her last three test scores is 92.
We are to find the average score of her first two tests.
Let a1, a2, a3, a4 and a5 be teh scores of Kristle in first , second, third, fourth and fifth tests respectively.
Then, according to the given information, we have

and

Subtracting equation (ii) from equation (i), we get

Thus, the average of the first two test scores is 97.