Answer:
(x - 1)^2 + (y - 0.5)^2 = 25.
Step-by-step explanation:
We need to calculate the radius and the coordinates of the center of the circle.
The center is at the midpoint of the diameter = (-1 + 3)/2 , (2+-1)/2
= (1, 0.5).
The radius = 1/2 * diameter = 1/2 * √[ (-1-3)^2 + (2 - -1)^2 ]
r = √25/2 = 2.5
r^2 = 2.5^2 = 6.25.
The general form of the equation is
(x - a)^2 + (y -b)^2 = r^2 where (a,b) is the center and r = the radius.
So the required equation is:
(x - 1)^2 + (y - 0.5)^2 = 6.25.
Answer:
Around 30% discount
Step-by-step explanation:
We first need to find HOW MUCH DECREASE is the price. So we subtract:
22. 5 - 15.07 = $7.43
<em>How much will that be in </em><em>percentage</em>?
7.43 is off of 22.5, to find the discount peccentage, we divide 7.43 with 22.5 and then multiply by 100 to get percentage discount. So, we have:

Now, we have:
0.3302 * 100 = 33.02%
Approximately 33.02%
Set ? as x, and cross-multiply.
so x^2= 36
x = 6 or x = -6
Answer:
$11.36 (rounded to nearest cent)
Step-by-step explanation:
The only increase would be due to the 6% tax.
Tax = $189.29 × 6%
= $189.29 × 
= $11.36 (rounded to nearest cent)
Yards of the border is 22 yards.
Step-by-step explanation:
- Step 1: Find the perimeter of the room to find the yards of border to be used.
⇒ Perimeter = 2(length + breadth) = 2(6 + 5) = 22 yd