Answer:
(-3, 3√3)
Step-by-step explanation:
Evaluate each of the coordinates. Keep or drop the "i" as your convention requires.
6(cos(120°), i·sin(120°)) = (6·cos(120°), i·6·sin(120°)) = (6(-0.5), i·6·√3/2)
= (-3, 3√3 i)
You may want the (x, y) coordinates written as (-3, 3√3).
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In the complex plane, this is -3+i·3√3.
Multiply the numerator by the numerator (top number).
Multiply the denominator by the denominator (bottom number).
So 3 x 6 = 18
And 5 x 7 = 35
= 18/35
Answer: Right (Last option)
Step-by-step explanation:
As you can see in the figure, the parallel lines AD and GJ are intersected by two lines.
The line EL intersects the parallel lines and there are two angles that are formed by this intersections which are located on the exterior of AD and GJ, but on opposite sides of EL, (these angles are called "Alternate exterior angles" and they are congruent), which are:
∠LHJ and ∠EBA
You can observe that the angle ∠EBA is indicated with a square. This means that the measure of that angle is 90° (Right angle).
Therefore, if ∠EBA=90°, then ∠LHJ =90°
Answer: Discriminant.
Step-by-step explanation:
1. The quadratic formula is:
2. And the discriminant is inside the square root:
2. Then, if the discriminant is negative, the quadratic equation does not have real solutions, it has two imaginary solutions. If the discriminant is zero the quadratic has one solution. If the discriminant is positive, the quadratic equation has two distinct solutions.
