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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 prime number of 3y squared?
3 x y x y = 3y2
What is 3y times y?
3y2 y x y = y2 3 x y2 = 3y2
