An asteroid follows a hyperbolic path defined by the equation 16x2 − 9y2 = 576. If one of its foci is the sun's position, the minimum distance between the asteroid and the sun is AU. (Note that x and y are expressed in astronomical units, AU.)
Answers
Answer: 4
Step-by-step explanation: I got this right on Edmentum.
The given hyperbolic path defined as
divide both the sides by 576,
The general equation of
hyperbola is written as
;
Compare with above mention equation
Here
The distance between the asteroid and the sun is seen by figure -1
or
⇒c =10
The minimum distance between the asteroid and the sun is 10 -6 =4
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The question involves dividing the total number of packs (192) by the total number of boxes (8). The answer is 24 packs per box.
The subject of this question is Mathematics, and it's about the Division concept.
If a total of 192 packs of frozen peas were taken out from 8 boxes, we need to find out how many packs were in each box originally.
This can be done by dividing the total number of packs by the total number of boxes.
Therefore, you would do the calculation: 192 ÷ 8, which equals 24. So, there were 24 packs of frozen peas in each box.
Learn more about Division here:
#SPJ3
192 ÷ 8
there were 24 packs of frozen peas in each box
Answers
Answers
B = area of the base
h = height
B = 1/2 (base1 + base2) x height
B = 1/2 (9+6) x 8
B = 1/2 (15) x 8
B = 4 x 15
B = 60
Volume = 720
720 = B x h
720 = 60 x h
h = 12
So the height or length is 12mm.
Surface Area = 2B + 2P
Where
B is the area of the base
P is the perimeter of the base
We already know that B= 60
P = 9 + 10 + 6 + 8
P = 33
So
SA = 2*60 + 2*33
SA = 120 + 66
SA = 186
The surface area is equal to 186mm^2.
Answers
I’ll help with the first one
When x= -1, y = 4
When x= 0, y = 6
When x= 1, y = 8
When x= 2, y = 10
When x = 3, y = 12
-3y+4=-11
Answers
Subtract 4 from each side
-3y=-15
Then divide -3 from each side
Y=5
Use 3.14 to approximate pi, and express your final answer in hundredths.
-----ft3
2.
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What was the height of the cylinder?
Use 3.14 to approximate pi, and express your final answer in tenths.
------cm
3.
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Use 3.14 to approximate pi, and express your final answer in hundredths.
------in3
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Use 3.14 to approximate pi.
--------h