General formula of the circle
(x-a)² + (y - b)² = r²,
where (a,b) - coordinates of the center, r - radius of the circle.
(x-3)²+(y+4)²=4
(x-3)²+(y+4)²=2²
So, the center is (3, -4) and radius r = 2.
A. (3, –4); 2
Answer:
Step-by-step explanation:
-5+3 + (-1/6)+ 5/6
-2 - 1/6 + 5/6
-2 + 4/6 (do this boring math)
Answer:
Step-by-step explanation:
Bisection is the division of a line or an angle into two equal halves. It means that a bisector is a line that divides an angle or another line into two equal halves. Therefore,
Line BE divides angle ABC into two equal halves. This means that
Angle ABC/2 = angle ABE = angle EBC
Therefore,.
2x + 20 = 4x - 6
4x - 2x = 20 + 6
2x = 26
x = 26/2 = 13
Therefore,
Angle ABE = 2 × 13 + 20
= 46 degrees
Answer:
1 mile/hr
Step-by-step explanation:
Let the Speed of the boat still in water = a
Speed of the current = b
We know from this formula that speed = distance/time
Hence,
A canoe traveled Downstream with the current and went a distance of 15 miles in three hours.
Downstream = a + b = 15/3
a + b = 5 .........Equation 1
On the return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip.
Upstream = a - b = 15/5
a - b = 3 ..............Equation 2
Combining both Equation together
a + b = 5 .........Equation 1
a - b = 3 ..............Equation 2
Subtracting Equation 2 from Equation 1
2b = 2
b = 2/2
b = 1miles/hr
Since b = speed of the current which can also be called rate of the current, the rate of the current = 1 miles/hr
Answer:
5
Step-by-step explanation:
A device extracts 37 liters of water per day
Therefore the number of days it will take to extract 185 liters can be calculated as follows
= 185/37
= 5
Hence it would take 5 days
