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topjm [15]
3 years ago
10

Somebody please help me I am leaving at 5:00

Mathematics
1 answer:
Marta_Voda [28]3 years ago
3 0
2. Less than 1 liter

3. Less than 1 liter

4. Less than 1 liter

5. More than 1 liter

6. Less than 1 liter

Glad I could help, and good luck!

AnonymousGiantsFan
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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}

5 0
3 years ago
Find the y-intercept of the line: 4x−2y+7=0
dmitriy555 [2]

Answer:

= (0, 7/2)

Step-by-step explanation:

7 0
3 years ago
Benny gets a job at a law firm with a salary of 70,000$ per year. After the first year, his salary increases to 73,000$. Over th
Morgarella [4.7K]
Hey there!

Part A-  The y-intercept would represent Benny's starting salary: b = 70,000.

The slope would represent Benny's annual raise: m = 3,000.


Part B- The y-intercept is b = 70,000.

The slope is m = 3,000.

<span>The equation representing Benny's annual salary at any given year is y = mx + b, or y = 3,000x + 70,000, where x is the number of years since Benny started the job.</span>


4 0
3 years ago
1.write the equations of three lines whose graphs are parallel to one another . 2.write the equation of two lines whose graphs a
Arlecino [84]
Y = -2x + 1
y = -2x + 2
y = -2x + 3
these are all parallel lines because they have the same slopes (-2) but different y intercepts.

y = 3x + 4
y = -1/3x + 3
these are perpendicular lines because they have negative reciprocal slopes.

slope of a line parallel to the x axis : If it is parallel to the x axis, it is a horizontal line and has a slope of 0.

slope of a line perpendicular to the x axis : if it is perpendicular to the x axis, it is a vertical line with a slope that is undefined.

slope of line parallel to the y axis : vertical line, undefined slope

slope of a line perpendicular to the y axis : horizontal line, slope of 0


6 0
4 years ago
Read 2 more answers
The following table represents a linear function. Find the y-intercept. y-intercept​
Katyanochek1 [597]

Answer:

7

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
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