Answer:
(x, y) = (0, 1/2) or (1, 3)
Step-by-step explanation:
The first equation factors as ...
x(3x -y) = 0
This has solutions x=0 and y=3x.
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<u>x = 0</u>
Using this in the second equation gives ...
2y -0 = 1
y = 1/2
(x, y) = (0, 1/2) is a solution
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<u>y = 3x</u>
Using the expression for y in the second equation, we get ...
2(3x) -5x = 1
x = 1 . . . . . . . . . simplify
y = 3x = 3 . . . . using x=1 in the first equation
(x, y) = (1, 3) is a solution
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Interestingly, the (red line) graph of 3x^2 -xy = 0 produced by this graphing calculator has a "hole" at x=0, It says that point is (0, undefined). In a sense, y is undefined, in that it can be <em>anything</em>. A more appropriate graph would graph that equation as the two lines x=0 and y=3x.
Answer: The correct answer is Volume Cone = one-third pi t squared k
Step-by-step explanation: The first important detail to note here is that both cylinder and cone have the same base and the same height This implies that when writing out the formula for calculating the volume of either of the two shapes, the radius and the height will be the same number or value.
The volume of a cylinder is given as;
Volume cylinder = pi x r squared x h (that is πr²h)
Also the volume of a cone is given as;
Volume cone = one-third x pi x r squared x h (that is 1/3*πr²h)
However, the variables have been changed such that the radius r is now represented by t while the height h is now represented by k.
Therefore the volume of the cone should now be re-written as;
Volume cone = one-third pi t squared k <em>(that is 1/3 *πt²k)</em>
Multiplication, hope I could help!
Answer:
445
Step-by-step explanation:
Just add the 200 to 245
