We first need to convert 3x - 2y = 8 into y = mx + b form.
To do this, we first subtract 3x from
both sides and we have -2y = -3x + 8.
Now divide both sides by -2 and we have y = 3/2x - 4.
Now, we want the slope parallel to this given line.
Since the m or the coefficient of the x term
represents slope, we know this line has a slope of 3/2.
Now, it's important to understand that parallel lines have the same slope.
So the slope of the line parallel to this line will also be 3/2.
The distance<span> formula is derived from the Pythagorean theorem. To find the </span>distance between two points<span> (x</span>1,y1) and (x2,y2<span>), all that you need to do is use the coordinates of these ordered pairs and apply the formula pictured below.</span>
The value of x is 5. Angle one and four are vertical. You can do this by writing 7x = 3x + 20. Isolate the variable by moving 3x to the other side. If you do this, 3x becomes negative, and you end up with 7x-3x = 20 --> 4x = 20.
x=5.
X² − 6x + 7 = 0
Let's complete the square [x²-6x+(??)²] -(??)² +7 = 0
As you noticed we have added the unknown square & also subtract the same so that not to change the equation
The question now is to calculate this square (??)²
We know that the middle term (6x) is twice the square root of the 1st times the square root of the 2nd, That is 6x=2x (multiply) √(??)²
6x = 2x?? & ??=6x/2x===> ?? =3 & (??)² =9
Hence plug (??)² into the equation above:
x² - 6x + 9 - 9 +7 =0
(x²-6x+9) -9 + 7 =0
(x-3)² -2 =0 ====> (x-3)² = 2 (that is B)
