Answer:
Original Price = $23
Step-by-step explanation:
$5.75 is the price after a discount of 75%
Let the original price be x and x is 100% of the price
5.75 = 100%x - 75%x
5.75 = 25%x
The new price is 25% of the original because you are subtracting 75%
25% is also written as 0.25
5.75 = 0.25x
x = 5.75/0.25
x = 23
The original price is 23
-Chetan K
Answer:
Step-by-step explanation:
Let's write the equation of the line in the slope-intercept form. That is, y= mx +c, where m is the slope and c is the y-intercept.
Identify 2 coordinates on the line to calculate the slope.
The 2 points are (1, 2) and (4, 4).
Slope
= 
= 
Substitute the value of the slope into m:
Substitute any point into the equation to find c:
When x= 1, y= 2,
Solve for c:
c= 
Thus, the equation that represents the line is .
Additional:
Should you wish to learn more about slope-intercept form, do check out the following!
Answer:
k = ±4
Step-by-step explanation:
Equation of the circle is:
x² + y² = 5
This means from the general form of equation of a circle;
Centre coordinates is (0, 0) and radius is; √5.
The line 2x - y + k = 0 touches the circle. Thus, perpendicular distance from centre of the circle to this line is equal to the circle radius;
Thus;
|((2 - 0) - (1 × 0) + k)|/(√(2² + 1²)) = √5
|(1 + k)|/√5 = √5
Multiply both sides by √5 to get;
|1 + k| = 5
|k| = 5 - 1
k = ±4
The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
