Answer:
EASY DUBS:
Step-by-step explanation:
2*x-((1/4)*y) = 1 // - 1
2*x-((1/4)*y)-1 = 0
2*x+(-1/4)*y-1 = 0
2*x-1/4*y-1 = 0 // + -1/4*y-1
2*x = -(-1/4*y-1) // : 2
x = (-(-1/4*y-1))/2
x = (1-(-1/4*y))/2
x = (1-(-1/4*y))/2
Answer:
If Z is a complex number:
Z = a + b*i
where a and b are real numbers, and i is an imaginary number.
Then "a" is the real part.
"b*i" is the imaginary part.
The conjugate of Z is:
Zc = a - b*i
So the sign of the imaginary part changes.
Then:
Sum:
Z + Zc = (a + bi) + (a - bi) = 2*a + 0 = 2*a
and remember that a is a real number, then 2*a is also a real numer.
The correct answer is "A real number".
Difference:
Z - Zc = (a + bi) - (a - bi) = 2b*i
and this is a pure imaginary number, so here the correct answer is: "a pure imaginary number"
Answer:
Hope it helps.
Step-by-step explanation:
An arc of a circle is a "portion" of the circumference of the circle. The length of an arc is simply the length of its "portion" of the circumference. The circumference itself can be considered a full circle arc length. ... the angle subtends, s, divided by the radius of the circle, r.
Answer:

Step-by-step explanation:
Given:
Focus point = (-5, -4)
Vertex point = (-5, -3)
We need to find the equation for the parabola.
Solution:
Since the x-coordinates of the vertex and focus are the same,
so this is a regular vertical parabola, where the x part is squared. Since the vertex is above the focus, this is a right-side down parabola and p is negative.
The vertex of this parabola is at (h, k) and the focus is at (h, k + p). So, directrix is y = k - p.
Substitute y = -4 and k = -3.



So the standard form of the parabola is written as.

Substitute vertex (h, k) = (-5, -3) and p = -1 in the above standard form of the parabola.
So the standard form of the parabola is written as.


Therefore, equation for the parabola with focus at (-5,-4) and vertex at (-5,-3)

Answer:
i^8
Step-by-step explanation: