What is DA equal to? Brainiest if correct and please show your answer.

Mathematics

1 answer:

Naddik [55]1 year ago

5 0

Answer:

<h2>DA is equal to 25 or BA</h2>

Step-by-step explanation:

ABC

ADC

Since we know that line CA is equal to line CA because of reflexive property
Angle BAC and DAC are equal because of definition of an angle bisector
Angle ABC and ADC are equal because of definition of an angle bisector
This will give us ASA, proving to us that all sides and angles are congruent (this was already given to us)
So, if BA is 25, and we know that BA is congruent to DA, this tells us that DA is 25

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A comet travels along a parabolic path around the Sun. The Sun is the focus of the path. When the comet is at the vertex of the

AlladinOne [14]

Remember that for a function of the form $y=a x^{2}$ , a parabola, the focus will be: $(0, \frac{1}{4a} )$ .
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 $a$ using the focus of the parabola:
$\frac{1}{4a} =60'000.000$
$1=(60'000.000)(4a)$
$1=240'000.000a$
$a= \frac{1}{240'000.000}$

Now, the only thing left is replacing the value of $a$ in our equation $y=a x^{2}$ :
$y=( \frac{1}{240'000.000)} ) x^{2}$
$y= \frac{ x^{2} }{240'000.000}$

We can conclude that the equation that represents the path of the comet is $y= \frac{ x^{2} }{240'000.000}$