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How do you find the value of k when the line y equals x - 3 touches the curve x squared - 3y squared equals k?
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If xy equals x2 plus y2 plus 2xy?
If:xy = x2 + y2 + 2xyThen:x2 + xy + y2 = 0Do you want to solve it for x?x2 + xy + (y/2)2 = (y/2)2 - y2(x + y/2)2 = y2/4 - y2x + y/2 = ± √(-3y2/4)x = -y/2 ± y√(-3) / 2x = (-y ± yi√3) / 2
What is the answer to x plus y to 3rd power plus x minus y to 3rd power?
(x + y)3 + (x - y)3 = (x3 + 3x2y + 3xy2 + y3) + (x3 - 3x2y + 3xy2 - y3) = 2x3 + 6xy2 = 2x*(x2 + 3y2)
What is the prime number of 3y squared?
3 x y x y = 3y2
What is the function rule is x is 1 2 3 4 and y is 4 7 12 19?
y = x2 + 3
3x squared plus 6xy plus 3y squared?
3x2+6xy+3y2= 3(x2+2xy+y2)= 3(x+y)2
How do you find the value of k when the line y equals x - 3 touches the curve x squared - 3y squared equals k?
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What is the GCF of 3y2 plus 12?
The GCF is 3.
An equation of a nonlinear function and provide two inputs to evaluate?
y=x2+3 x1=1 x2=2 y(x1) = 1*1+3 = 4 y(x2) = 2*2+3 = 7 x2/x1 = 2, While y2/y1 = 7/4 !=2, and thus the function is nonlinear.
If xy equals x2 plus y2 plus 2xy?
If:xy = x2 + y2 + 2xyThen:x2 + xy + y2 = 0Do you want to solve it for x?x2 + xy + (y/2)2 = (y/2)2 - y2(x + y/2)2 = y2/4 - y2x + y/2 = ± √(-3y2/4)x = -y/2 ± y√(-3) / 2x = (-y ± yi√3) / 2
What is the answer to x plus y to 3rd power plus x minus y to 3rd power?
(x + y)3 + (x - y)3 = (x3 + 3x2y + 3xy2 + y3) + (x3 - 3x2y + 3xy2 - y3) = 2x3 + 6xy2 = 2x*(x2 + 3y2)
Start with y square it and then multiply the result by 3 what expression do you get?
3y2
What is the product of 8y3-3y2?
8y^3 - 3y^2 = y^2(8y - 3)
If x2 is an integer divisible by 3 then x is divisible by 3?
Yes. If x is not divisible by 3 then x leaves a remainder of 1 or 2 when it is divided by 3. That is, x is of the form 3y+z where z = 1 or 2. Then x2 = (3y+z)2 = 9y2 + 6yz + z2 = 3(3y2 + 2yz) + z2 The first part of this expression is clearly a multiple of 3, but z2 is not. Whether z = 1 or 2, z2 leaves a remainder of 1 when divided by 3.
What is the value of the function x2 plus 3 at x equals 5?
f(x) = x2 + 3 ----> f(5) = (5)2 + 3 ----> f(5) = 28
What is the greatest common factor of 3y squared and 24y cubed?
Since 3y2 can evenly divide 24y3, 3y2 must be the greatest common factor, since the greatest common factor cannot be larger than the smaller of the two numbers. But, we can also look at a factorization of both numbers. We can tell that 3y2 = 3 x y2. We can tell that 24y3 = 3 x 8 x y3 = 3 x 23 x y2 x y. These numbers have in common 3 and y2, so 3y2 is the greatest common factor.
What is the prime number of 3y squared?
3 x y x y = 3y2
