The distance from the origin to point P is 5 units. Give the coordinates of four possible locations

Mathematics

1 answer:

AVprozaik [17]3 years ago

3 0

What are the choices?(:

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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 $y= \frac{ x^{2} }{240'000.000}$

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3 years ago

DESARROLLO:

n200080 [17]

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3 years ago

Steps to divide 125.00 by 7.75

kenny6666 [7]

_____
7.75 | 125

we want to get rid of that decimal....so we move it 2 spaces to the right....by doing that, we also have to move the decimal under the division sign by 2 spaces to the right....turning ur problem into :

16.1 R 225 <== ur answer
______
775 |12500.0
775
------- subtract
4750
4650
---------subtract
1000
775
-----------subtract
225

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4 years ago

A recipe calls for 10 cups of oatmeal. Benjamin wants to make 1/5 fewer servings than the recipe makes. Which expression represe

saul85 [17]

1/5 fewer so 10-10(1/5)=8 cups of oatmeal

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3 years ago

A class has 12 boys and 18 girls. the class as a whole has a gpa (grade point average) of 2.88, and the boys have a gpa of 2.52.

MrRissso [65]

<span>3.12 First, write an equation to express what you know. g = number of girls b = number of boys b * 2.52 + g * x = 2.88(b+g) Solve for x, first substitute known values for g and b 12 * 2.52 + 18 * x = 2.88(12+18) Add and multiply what you already know 30.24 + 18x = 86.4 Subtract 30.24 from both sides 18x = 56.16 Divide both sides by 18 x = 3.12 Therefore the GPA of the girls is 3.12</span>

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4 years ago