we have been asked to solve
0.31 repeating as a fraction
Let
.......(i)
![\\ \text{equation (i) can be re-written as }\\ \\ 100x=31.31.........(ii)\\\\\text{Substract equation (i) from equation (ii) we get}\\\\100x-x=31.31-0.31\\\\99x=31\\\\\text{Divide both the sides by 99 we get}\\\\x=\frac{31}{99}](https://tex.z-dn.net/?f=%20%5C%5C%20%5Ctext%7Bequation%20%28i%29%20can%20be%20re-written%20as%20%7D%5C%5C%20%5C%5C%20100x%3D31.31.........%28ii%29%5C%5C%5C%5C%5Ctext%7BSubstract%20equation%20%28i%29%20from%20equation%20%28ii%29%20we%20get%7D%5C%5C%5C%5C100x-x%3D31.31-0.31%5C%5C%5C%5C99x%3D31%5C%5C%5C%5C%5Ctext%7BDivide%20both%20the%20sides%20by%2099%20we%20get%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B31%7D%7B99%7D%20%20)
Answer:
Step-by-step explanation:
The given quadratic equation is expressed as
x² - 6x - 40 = 0
The equation is already in the standard form of ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 1
b = - 6
c = - 40
Therefore,
x = [- - 6 ± √(- 6² - 4 × 1 × - 40)]/2 × 1
x = [- 6 ± √(36 - - 160)]/2
x = [- 6 ± √196]/2
x = (- 6 + 14)/2 or x = (- 6 - 14)/2
x = 8/2 or x = - 20/2
x = 4 or x = - 10
Answer:
x = 2, y = - 1
Step-by-step explanation:
Given the 2 equations
y = - 7x + 13 → (1)
y = - 1 → (2)
Substitute y = - 7x + 13 into (2)
- 7x + 13 = - 1 ( subtract 13 from both sides )
- 7x = - 14 ( divide both sides by - 7 )
x = 2
y = - 1 is already given in (2)
Then x = 2, y = - 1
The line (y =3 ) is parallel to the X-axis so the slope = 0