Answer:

Step-by-step explanation:
Given;
x² - 2x - 1 = 0
Solve by completing the square method;
⇒ take the constant to the right hand side of the equation.
x² - 2x = 1
⇒ take half of coefficient of x = ¹/₂ x -2 = -1
⇒ square half of coefficient of x and add it to the both sides of the equation


⇒ take the square root of both sides;

Therefore, option B is the right solution.
Answer:
48 in
Step-by-step explanation:
The length of the rug is 6 feet. We know this must account for 2 sides of the rug, so let's multiply 6 by 2.
6 × 2 = 12
Now subtract 12 from 20.
20 - 12 = 8
Now divide 8 by 2 to find the measurement of the remaining two sides.
8 ÷ 2 = 4.
The width of the rug is 4 feet. The question wants to find the width in inches, however. So multiply 4 by 12 because there are 12 inches in each foot.
4 × 12 = 48
The width of the rug is 48 inches.
Average speed = 24 3/4 / 1 1/2 = 99/4 / 3/2 = 99/4 x 2/3 = 16 1/2 miles per hour.
Answer:
Step-by-step explanation:
Answer:
Get a line of which you want to know the slope. Make sure that the line is straight.
Pick any two coordinates that the line goes through. Coordinates are the x and y points written as ( x, y ).
Pick which point's coordinates are dominant in your equation. ...
Set up the equation using the y-coordinates on top and the x-coordinates on bottom.