The old price of a 24" television is $499.00. It has been marked up 12%. What is the new price?
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So hmmm check the picture below
so... the vertex is "p" distance from the focus and the directrix, thus, the vertex is really half-way between both
in this case, 2 units up from the focus or 2 units down from the directrix, and thus it lands at 3,3
now, the "p" distance is 2, however, the directrix is up, the focus point is below it, the parabola opens towards the focus point, thus, the parabola is opening downwards, and the squared variable is the "x"
because the parabola opens downwards, "p" is negative, and thus, -2
now, let's plug all those fellows in then
so... the vertex is "p" distance from the focus and the directrix, thus, the vertex is really half-way between both
in this case, 2 units up from the focus or 2 units down from the directrix, and thus it lands at 3,3
now, the "p" distance is 2, however, the directrix is up, the focus point is below it, the parabola opens towards the focus point, thus, the parabola is opening downwards, and the squared variable is the "x"
because the parabola opens downwards, "p" is negative, and thus, -2
now, let's plug all those fellows in then
A complex number is a part of a number system that includes a real unit and an imaginary unit. All the statements are true except C and E.
<h3>What is a Complex Number?</h3>A complex number is a part of a number system that includes the real numbers as well as a particular element labelled i, sometimes known as the imaginary unit, and which obeys the equation i² = 1.
As it is given that x=(a+bi), y=(c+di), and z=(f+gi), therefore, we need to plug in the values to check which all are true.
A.) x+y=y+x
As the two sides of the equation are equal, the equation is true.
B.) (x × y) × z = x × (y × z)
As the two sides of the equation are equal, the equation is true.
C.) x−y=y−x
As the two sides of the equation are not equal, the equation is not true.
D.) (x+y)+z=x+(y+z)
As the two sides of the equation are equal, the equation is true.
E.) (x−y)−z=x−(y−z)
As the two sides of the equation are not equal, the equation is not true.
Hence, all the statements are true except C and E.
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