You plot the point of the focus and the directrix on the graph to determine where the parabola opens.
We are provided the general forms of parabola according to its opening if:
it opens upward: (x - h)<span>² = 4a(y - k)
</span>it opens downward: (x - h)<span>² = -4a(y - k)
where "h" and "k" are the coordinates of the vertex, and "a" is the focal length from the focus to the vertex.
As you plot, the directrix y = 9 is a horizontal line, and the focus at (0,-9) is below that directrix. So, it means that the parabola opens downward (and not upward because the parabola must not touch to the directrix).</span> Next, identity the vertex (h,k). Note that the vertex is the midpoint between the focus and the point of the directrix. So the vertex is (0,0). Then, the focal length "a" is 9.
Hence, the equation is
(x - 0)<span>² = -4(9)(y - 0)
x</span><span>² = -36y</span>
Yes. And thanks.for free branana
Vertical angles:
Vertical Angles are the angles opposite each other when two lines cross.
https://www.mathsisfun.com/geometry/vertical-angles.html
The link has a visual of vertical angles.
Adjacent Angles:
Adjacent angles are two angles that share a common vertex point and a common side. They basically sit right next to each other.
https://www.mathsisfun.com/geometry/adjacent-angles.html
The link has a visual of adjacent angles.
Complementary Angles:
Two angles whose measures add to 90º.
Basically, together they make a right angle.
Supplementary Angles:
Two angles whose measures add to 180º.
Basically, together they form a straight line.
First find the price of one pound.
11.94÷6=1.99
Once you find the price of 1 pound.
You multiply the price of one pound 8 times.
1.99×8=15.92
Hope it helps!
To find the total cost of Roland's purchases, you will add $382 plus $12 plus $16.14 together to find the total spent.
$410.14.
Next will be to calculate the new price based on the sales tax rate. To do this you will multiply the cost by 1.0825. This includes everything you paid and the sales tax
410.14 x 1.0825 = $443.98
Roland's total price was $443.98.