The equation of the circle that passes through the point (0 , 4) and has a center at the origin is x^2 + y^2 = 16.
Using the distance formula, get the radius of the circle by solving for the distance between the center and the point (0 , 4).
radius = distance = √(x2 - x1)^2 + (y2 - y1)^2
radius = √(0 - 0)^2 + (4 - 0)^2
radius= √0 + 16
radius = 4
The standard form of the equation of the circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the standard form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (0 , 0)
r = 4
(x - 0)^2 + (y - 0)^2 = 4^2
x^2 + y^2 = 16
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First, you have to figure out how many gallons Alonzo fills an hour. That's 6 times 60. 6*60=360. Then you figure out how many pints are in a gallon. That's 8 pints to a gallon. So 360 *8=2880. Alonzo fills 2,880 pints per hour!
Answer:
x<-1/3
Step-by-step explanation:
-2(3x+2)>-8+6
Distribute
-6x -4 > -8+6
Combine like terms
-6x-4> -2
Add 4 to each side
-6x +4-4 >-2+4
-6x>2
Divide by -6, remembering to flip the inequality
-6x/-6 < 2/-6
x <-1/3
As we know, the square root of negative numbers.
Hence, the x must be a positive value and greater than 0.
So, x:x∈[0,∞)
subtracting 3 from both sides
x:x∈[-3,∞)
Answer:
£2.18
Step-by-step explanation:
£19=500
£2.176=1088
rounded to 2dp =2.18