The general formula of the circle is (x-h)^2 + (y-k)^2 = r^2
where (h,k) the center of the circle and r is the radius
so , the equation is (x-5)^2 + (y-6)^2 = 9
11) 58 degrees for both angles
12) 72 and 108 degrees (left to right)
14) b=-3/2
I don’t have the rest I’m sorry
Answer:
Length = 20 feet; x = 14
Step-by-step explanation:
Parameter = width + length + width + length
64 feet = 12 feet × 2 + (x + 6) feet × 2
64 = 24 + (x + 6) × 2
64 - 24 = (x + 6) × 2
40 = (x + 6) × 2
40 ÷ 2 = x + 6
20 = x + 6
20 = length
20 - 6 = x
14 = x
Answer:
It will take <em>0.75 hours </em>to Russell catch Gertrude
Step-by-step explanation:
<u>Cinematics</u>
The equations of cinematics include velocity, displacement and time. In case only the magnitudes are important, we can use the concepts of speed and distance. The speed can be thought in relative terms, i.e. if one body moves at 10 m/s and other moves at 8 m/s, we can say the relative speed is 2 m/s.
The equation who relates those magnitudes is

The problem states Gertrude travels at 10 mph and is 3 miles ahead of Russell who travels at 14 mph. We want to know the time when Russell will catch Gertrude. Since Russell goes faster than Gertrude, he eventually catches her. In a time t, he must travel 3 miles more than her. Since the relative speed of them is 14-10= 4 mph, we can know the time it takes to the encounter to produce


Answer: It will take 0.75 hours to Russell catch Gertrude
The sum of any two sides must be greater than the third side.
So if n is the largest side:
n<20+5
n<25
And if 20 is the largest side:
n+5>20 subtract 5 from both sides
n>15
Since n>15 and n<25
15<n<25 or in interval notation:
n=(15, 25)