We have been given an equation of circle
. We are asked to find the center and radius of the circle.
First of all, we will write equation of circle is standard form
, where center of circle is at point (h,k) and radius is r.
Let us complete the square for both x and y.


Adding half the square of coefficient of x and y term, we will get:





Therefore, the center of the circle is
and radius is 4 units.
So, 30% is 0.30, but since you are taking off 30%, you are going to have 70% of the price which is 0.70. The word "of" lets you know that you are going to multiply. So, what you do is 150•0.70=105. The discounted price is $105
Answer:
Can't see the picture because old computer but isn't 16 minus 17 = -1 (negative 1)
Step-by-step explanation:
Answer: Approximately 4.7 hours.
Step-by-step explanation:
He rode the bicycle for some time before it broke down and he walked the remaining distance. This means that Jim covered a total of 165 miles by riding at a speed of 35 miles per hour and walking at a speed of 3 miles per hour.
Let x = the distance covered by riding the bicycle.
Let y = the distance covered by walking.
Time = distance /speed
Time he used in riding would be x/35
Time he used in walking would be y/3
Since the entire trip took 7 hours,
x/35 + y/3 = 7
3x + 35y = 735 - - - - - - - - 1
Total miles covered is 165. Therefore,
x + y = 165 - - - - - - - - -- - -2
Substituting x = 165-y into equation 1, it becomes
3(165-y) + 35y = 735
495-3y + 35y = 735
-3y + 135y = 735-495
132y = 240
y = 240/132
y = 1.81m
x = 165 - 1.81 = 163.19
Amount of time that he spent on the bicycle will be
x/35 = 163.19/35
= 4.66
Approximately 4.7 hours.
Answer:
I believe the answer is A
Please correct me if I am wrong