This looks like an ellipse.
Complete the square for y: 9(y²-6y-7)=9(y²-6y+9-9-7)=9((y-3)²-16).
Rewrite the equation:
4x²+9(y-3)²-144=0; 4x²/144+9(y-3)²/144=1; x²/36+(y-3)²/16=1.
Standard equation of an ellipse is (x-h)²/a²+(y-k)²/b²=1, where (h,k) is the origin or centre.
This is the equation of an ellipse with centre (0,3), a=6 and b=4 (semimajor and semiminor axes).
Answer:
9
Step-by-step explanation:
3^3 is 27 so
27·27/3^4
3^4 is 81 so
27·27/81
27·27 is 729 so
729/81
729÷81 is 9
The correct pair is a. Hope that helped!
Answer:
5
Step-by-step explanation:
Answer:
4,152,842.53301 cm³ ≈ 4.1528 m³
Step-by-step explanation:
The volume of a rectilinear room of those dimensions will be the product of those dimensions:
(144.78 cm)(198.12 cm)(144.78 cm) = 4,152,842.53301 cm³
A more appropriate unit for such a volume is cubic meters. There are a million cubic centimeters in a cubic meter, so the volume (to 5 significant digits) is ...
4.1528 m³
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We assume that any oxygen is uniformly distributed in the space, so the volume of oxygen will be the same as the volume of the room.
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<em>Additional comment</em>
These dimensions correspond to those of a room that is 57 inches square and 78 inches high.
