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DerKrebs [107]
3 years ago
9

Which of the following represents x =1/2 y written in general form?

Mathematics
2 answers:
statuscvo [17]3 years ago
7 0

Answer with explanation:

The given expression is

  x=\frac{1}{2}\times y

Which is equation in two variables , x and y , representing a line.

The general form of line is,

   Ax +B y +C=0

Writing the above equation symmetrical to general form of line

→  2 x=y

→2 x-y=0, is the general form.

Harman [31]3 years ago
3 0
General form= x-1/2 y=0             
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The roots of 2x^2-3x=4 are a and b. Find the simplest quadratic equation which has roots 1/a and 1/b
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Find the roots

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we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
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take 1/2 of linear coeiftn and square it
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add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
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add 0.75 to both sides
x=0.75+/-√2.5625

the roots are x=0.75+√2.5625 and x=0.75-√2.5625

1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)

if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be
(x-\frac{1}{0.75+\sqrt{2.5625}})(x-\frac{1}{0.75-\sqrt{2.5625}})

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4


x²+0.75x-0.5 is answer
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3 years ago
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