The best description of the geometric construction of the quotient z/w on the complex plane is; Option A; z is scaled by a factor of One-fifth and rotated 90 degrees clockwise
<h3>How to find Complex Trigonometric numbers?</h3>
We are given;
z = 3(cos(15°) + i sin(15°))
w = 5(cos(90°) + i sin(90°))
Now, if we want to find the quotient z/w, it is clear that in geometric construction, the procedure will be to scale z by a factor of 1/5 and thereafter we will rotate by 90° clockwise.
Thus, option A is the correct answer.
Read more about Trigonometric Complex numbers at; brainly.com/question/12517327
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Answer:
Y must be negative
Step-by-step explanation:
Use this equation as an example: 5 + -7 = negative
If you add both of them you end up with -2
-2 is a negative integer
Taking into account the discriminant of a cuadratic function, values of c less than cause the quadratic equation -x²+3x+c=0 to have no real number solutions.
<h3>Discriminant of a cuadratic function</h3>
The function f(x) = ax² + bx + c with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).
The following expression is called discriminant:
Δ= b²- 4×a×c
The discriminant determines the amount of roots of the function. The roots are those values of x for which the expression is 0, so it graphically cuts the x-axis.
Then:
- If Δ <0 the function has no real roots and its graph does not intersect the x-axis.
- If Δ> 0 the function has two real roots and its graph intersects the x-axis at two points .
- If Δ = 0 the function has a real root and its graph intersects the x-axis at a single point that coincides with its vertex. In this case the function is said to have a double root.
<h3>Value of c</h3>
In this case, for the quadratic equation -x²+3x+c=0 you know:
If the function has no real roots, the discriminant is less than zero (Δ <0). This is: b²- 4×a×c < 0
Substituting the corresponding values, you get:
3²- 4×(-1)×c < 0
Solving:
9 + 4×c < 0
4×c < -9
c< (-9)÷4
c<
Finally, values of c less than cause the quadratic equation -x²+3x+c=0 to have no real number solutions.
Learn more about the discriminant of a cuadratic function:
brainly.com/question/14477557
Hey there! I'm happy to help!
If angles are complementary, they add up to 90 degrees.
This gives us this system of equations.
J=K-18
J+K=90
We plug the value of J into the second equation to solve for K.
K-18+K=90
We combine like terms.
2K-18=90
Add 18 to both sides.
2K=108
Divide both sides by 2.
K=54
J is 18 less than K.
54-18=36
Therefore, angle J is 36 degrees and angle K is 54 degrees.
Have a wonderful day! :D
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