Answer:
Step-by-step explanation:
Given (x - 2)^2 + (y + 3)^2 = 9, compare this to the standard equation of a circle, (x - h)^2 + (y - k)^2 = r^2.
It then becomes obvious that h = 2 and k = -3; the coordinates of the center of the circle are (2, -3).
If r^2 = 9, then r must be 3. This is the radius of the circle.
To draw this circle: Plot the center (2, -3). Take a compass and open it up so that the distance between the compass points is 3, representing the radius of the circle. Now use the compass to draw a circle with radius 3 and center at (2, -3).
Answer:
115Gallons
Step-by-step explanation:
1. Calculate the Volume - Volume of a cylinder is done by this formula, V=π*R^2*H.
3.14x1.5^2x4.5=V
V=31.79ft^3
2. Find the amount of Gallons it can hold total - V=31.79 Now per 1ft^3 its roughly 7.5 gallons. 31.79x7.5=238.44gallons
3. Find the amount occupied by the water currently in the barrel - So we need the middle point so we have something to go off of, now 2.5ft isn't half of 4.5, 2.25 is. So 238.44/2=119.22Gallons. Now 2.5 is 53.4% the difference is 3.4. So we need to take 119.22Gallons*.034=4.05 now add that to the 119.22 and you get 123.27 gallons used
4. How much is left over? - Take 238.44-123.27=115.17 more Gallons that the barrel can hold.
Hope this helped :)
Answer:
y+13 = 5(x+2)
Step-by-step explanation:
y = 5x-3
The slope is 5 since it is in the form y= mx +b where m is the slope
The point slope form of the equation of a line is
y-y1 = m(x-x1) where (x1,y1) is the point
y--13 = 5(x--2)
y+13 = 5(x+2)
Answer:
1.565711668e33
Step-by-step explanation:
Answer:
And simplifying we got:
Step-by-step explanation:
We want to simplify the following expression:
And we can rewrite this expression using this property for any number a:
And using this property we have:
And simplifying we got:
