Answer:
C
Step-by-step explanation:
We can calculate the area of triangles ABD and DBC, and then add them together to get the area of the whole quadrilateral.
5(x+4)=6x-5 please help :)
2 answers:
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Answer:
The square roots of 49·i in ascending order are;
1) -7·(cos(45°) + i·sin(45°))
2) 7·(cos(45°) + i·sin(45°))
Step-by-step explanation:
The square root of complex numbers 49·i is found as follows;
x + y·i = r·(cosθ + i·sinθ)
Where;
r = √(x² + y²)
θ = arctan(y/x)
Therefore;
49·i = 0 + 49·i
Therefore, we have;
r = √(0² + 49²) = 49
θ = arctan(49/0) → 90°
Therefore, we have;
49·i = 49·(cos(90°) + i·sin(90°)
By De Moivre's formula, we have;
Therefore;
√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))
∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))
√(49·i) = ± 7·(cos(45°) + i·sin(45°))
The square roots of 49·i in ascending order are;
√(49·i) = - 7·(cos(45°) + i·sin(45°)) and 7·(cos(45°) + i·sin(45°))
Answer:
x² -2x +4
Step-by-step explanation:
You recognize the dividend as the sum of two cubes. The factorization of that is ...
... a³ + b³ = (a + b)(a² -ab +b²)
In your problem, you have a=x, b =2, so the factorization is ...
... (x³ +8) = (x +2)(x² -2x +4)
When this is divided by (x +2), the result is (x² -2x +4).
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You can also use long division or synthetic division to get the same result.
