<span>You need (8-6) 2 extra gallons to take a bath. With sixty people bathing, you'll need 60*2=120 extra gallons to meet the extra demand for water. Alternatively, you could note that 60 bathers*8 gallons per bath=480 gallons of water would be used for 60 baths and 60*6=360 needed for showers. The difference would be 480-360=120 gallons.</span>
Answer:
1 The ratio of the measure of the central angle to the measure of the entire circle is StartFraction 5 Over 2 pi EndFraction
3 The area of the sector is 250 units².
5 The area of the sector is more than half of the circle’s area
Answer:
y = x^2 +6x +8
Step-by-step explanation:
The vertex is located at (-3, -1) and the graph rises 1 unit vertically for 1 unit away from the vertex. This means the scale factor is 1 and the vertex form equation can be written as ...
y = a(x -h)^2 +k . . . . . vertex form with scale factor a, vertex (h, k)
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y = (x -(-3))^3 +(-1) . . . fill in the values we know
y = (x +3)^2 -1 . . . . . simplify signs
y = x^2 +6x +9 -1 . . . eliminate parentheses
y = x^2 +6x +8 . . . . . your equation in standard form
Answer:
(0, ±2√5)
Step-by-step explanation:
The foci are the points on the major axis that are the length of the semimajor axis away from the co-vertices.
Here, that means their y-coordinate is ±√(36-16) = ±√20 = ±2√5.
The x-coordinate is that of the major axis, x=0.