Remember that for a function of the form

, a parabola, the focus will be:

.
We know that the vertex of the parabola is (0,0), and the sun is the focus of the parabola; we also know that the focus is in the positive y-axis and when the comet is as its vertex, the distance between them is 60'000.000 km; therefore the focus of our parabola is (0, 60'000.000).
Now that we know the focus, we can find

using the focus of the parabola:




Now, the only thing left is replacing the value of

in our equation

:

We can conclude that the equation that represents the path of the comet is
Answer:
8 and - 2
Step-by-step explanation:
let x be the larger number and y the smaller , then
x = 5y + 18 → (1)
3x + 4y = 16 → (2)
substitute x = 5y + 18 into (2)
3(5y + 18) + 4y = 16 ← distribute parenthesis and simplify left side
15y + 54 + 4y = 16
19y + 54 = 16 ( subtract 54 from both sides )
19y = - 38 ( divide both sides by - 19 )
y = - 2
substitute y = - 2 into (1)
x = 5(- 2) + 18 = - 10 + 18 = 8
then larger number is 8 and smaller is - 2
<h3>answer:</h3>
sorry po grade 4 palang po kasi
ako
Answer:
x = -2
Step-by-step explanation:
f(x) = 2( x^2 +9x -5x - 45)
f(x) = 2(x^2 + 4x - 45)
f(x) = 2x^2 +8x -90
axis of symmetry formula: x = -b / 2a
x = -(8) / 2(2)
x = -8 / 4
x = -2
*you can also graph the equation on a graphing calculator and find the middle of the parabola