A parabola in analytical geometry is a curve drawn that has either 2 x-intercepts or y-intercepts. You can see visually that it is a parabola if it forms an arc that passes either the x-axis or y-axis twice. Nevertheless, it would have two roots, so the equation must be quadratic.There are 2 possible equations for a parabola:
(x-h)² = +/- 4a(y-k) or
(y-k)² = +/- 4a(x-h), where
(h,k) are the coordinated of the vertex
a is the distance of the focus from the vertex
From the problem, it says that the vertex is at the origin, so the coordinates are (0,0). That means h=0 and k=0. Also, the focus is a=3. Thus, the possible equations for the reflector are
x² = +/- 12y and y² = +/- 12x
Any of those are possible because the problem mentions that it can open anywhere. Therefore, it could open downwards(-) or upwards(+) if it passes the x-axis twice; or to the left(-) or to the right(+) if its passes the y-axis twice.
Since we know the values of the variables, we can simply plug them in and use pemdas to solve.
4 + 5(6)
4 + 30
answer = 34
hope this helps!
Answer:
<h2>y = 2x - 3</h2>
Step-by-step explanation:
y = (slope)x + (y-intercept)
Good evening
Answer:
<em>a) the cost of one apple is €</em><em>0.9</em>
<em>b) the cost of one pineapple is €</em><em>5.4</em>
<em>c) the cost of two pineapples and six apples is €</em><em>16.2</em>
Step-by-step explanation:
Consider P the price of a pineapple
A the price of an apple
A pineapple costs six times as much as an apple means P = 6A
Mum paid €7.20 for one pineapple and two apples means P + 2A = 7.20
then
6A + 2A = 7.20
then
8A = 7.20
then
A = €0.9
Since P = 6A then P = 6×(0.9) = €5.4
the cost of two pineapples and six apples
= 2P + 6A
= 2P + P
= 3P
= 3×(5.4)
= €16.2
Step-by-step explanation:
Pi (Ratio of the Circumference of a Circle to Its Diameter) Circles are all similar, and "the circumference divided by the diameter" produces the same value regardless of their radius. This value is the ratio of the circumference of a circle to its diameter and is called π (Pi).
