Firstly, we need to find the price of the blanket/bracelet after the 115% increase.
$10 x 1.15 = $15.20
Now for the 5.5% sales tax, which is applied the the new value of $15.20
$15.20 x 0.055 = 0.83
$15.20 + $0.83 = $16.03
The final cost for the blanket/bracelet is %16.03
The equation of a circle is written as ( x-h)^2 + (y-k)^2 = r^2
h and k is the center point of the circle and r is the radius.
In the given equation (x+3)^2 + (y-1)^2 = 81
h = -3
k = 1
r^2 = 81
Take the square root of both sides:
r = 9
The center is (-3,1) and the radius is 9
In the step after -6x+10=4x+20, he moved the terms incorrectly. you have to add 6x to both sides so it would be 10=4x+6x+20 which simplifies to 10=10x+20. subtract 20 from both sides to get -10=10x. divide both sides by 10. the answer is x=-1
I switched the x and y so it’s easier to see. The answer is (x-1)/(23).
