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blsea [12.9K]
3 years ago
13

Compatible numbers for 2.4 and -0.18 are 2.5 and -0.2. What is the estimation of the product of (2.4)(-0.18)

Mathematics
2 answers:
Roman55 [17]3 years ago
8 0

Answer:

-0.5

Step-by-step explanation:

Strike441 [17]3 years ago
4 0

Answer:

-0.5

Step-by-step explanation:

just got it right

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The roots of the quadratic equation $z^2 + bz + c = 0$ are $-7 + 2i$ and $-7 - 2i$. What is $b+c$?
Alexxx [7]

Answer:

67

Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,

\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$

Also,

\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.

There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.

This is the aops answer :)

8 0
3 years ago
On a coordinate plane, trapezoid A B C D has points (10, 6), (4, 10), (14, 16), (16, 10).
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Answer:

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Step-by-step explanation:

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