Answer:
-1/4x² + 3
Step-by-step explanation:
Given that:
Path of sprinkler is modeled by the quadratic function :
w(x) = -1/4(x^2 -12 )
w(x) = height of the water, in meters, at position x
The height of ceiling as a constant or Coefficient = w(x)
Expanding w(x)
-1/4(x^2 -12 )
-1/4 * x² + 1/4 * 12
-1/4x² + 3
The height of ceiling is -1/4x² + 3
Answer:
12.6
Step-by-step explanation:
To find the area of a cylinder, you find the area of the circular base and multiply it by the height. Remember that the area of a circle is pi*r^2. R, the radius, is 2. Putting this into a calculator and rounding to the nearest tenth, you get 12.6. Now that we have the circle, we multiply by the height. Since the height is 1, we have our answer of 12.6.
Distribute
-2(x+6)+3
-2x-12+3
-2x-12+3=-11x+4(x+4)
Distribute
4(x+4)
4x+16
-2x-12+3=-11x+4x+16
Combine Numbers && Variables
-2x-9=-7x+16
Add The 7 Over To The -2x
5x-9=16
Add 9 Over To 16
5x=25
x=5
So 5 Is Your Answer
~Hope This Helps :)
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The sum of the angles of the triangle is 180 degrees, so:
(x + 70) + 76 + 41 = 180
(x + 70) + 117 = 180
x + 70 = 63
x = -7
Hope that helps!
