The circle equation is in the format (x – h)2 + (y – k)2= r2, with the center being at the point (h, k) and the radius being "r".
x²+y²-8x-6y+2 =0 -----(a)
(x-4)² = x² - 8x + 16
(y-3)² = y² - 6y + 9
Equation (a) can be rewritten as:
(x-4)² + (y-3)² + 2 - 16 - 9 = 0
(x-4)² + (y-3)² = 23
The coordinates for the center of the circle is: ( 4,3)
The radius is √23=4.8
Answer:
HERE IS YOUR ANSWER
Step-by-step explanation:
4
Answer:
about 3 1/2 hours long
Step-by-step explanation:
70 goes into 240 evenly 3 times, and 70×3 equals 210. that leaves 30 miles remaining. since he is moving at an average rate of 70mph, 3/7 would be the remaining time. to decimal that equals a total of about 3 hours and 25 minutes, which, rounded up, equals 3 and 1 half hours.
Answer:
4/5
Step-by-step explanation:
Answer:
Therefore, Miranda can register for at most 3 courses.
Explanation:
If x is the number of courses in which Miranda register, the total cost for her tuition will be:
45 + 450x
Because there is a fixed cost of $45 and a cost per course of $450.
Then, this cost should be less than or equal to $1500, so we can write the following inequality:
45 + 450x ≤ 1500
Now, we can solve the inequality for x. Subtract 45 from both sides:
45 + 450x - 45 ≤ 1500 - 45
450x ≤ 1455
Divide both sides by 450:
450x/450 ≤ 1455/450
x ≤ 3.23
Therefore, Miranda can register for at most 3 courses.
