Answer:
Average rate of change = -6
Step-by-step explanation:
The average rate of change over the interval (a,b) is given by;
[ f(b) - f(a)] / (b-a)........................where interval is (a,b)
(a,b) interval =(-3,1)
Where;
f(x)= -12 (x+2)² +5

Answer: 13.722 km ; or, write as: 13 13/18 km .
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Explanation:
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Area = Length * width ;
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or, write as: A = L * w ;
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Given: A = 247 km² ;
L = 18 km ;
w = "y" ;
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Find: "y"
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A = L * w ;
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Plug in our values:
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247 km² = 18 km * "y" ; solve for "y" (in units of "km") ;
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18 y = 247 ;
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Divide each side of the equation by "18"; to isolate "y" on one side of the equation; and to solve for "y" :
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18 y / 18 = 247 / 18 ;
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to get:
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y = 13.7222222222222222...... km ; round to: 13.722 km
or; y = 13 13/18 km .
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A triangle can be drawn with exactly one acute angle is false (assuming the triangle is drawn on a 2-dimensional plane).
Answer:
To find the answer consider that this is a right triangle and we can use the tangent function in order to find the value of x
remember the acronym soh cah toa.
to use the tangent function we divide the opposite and adjacent side that is what the oa stands for in toa
setting it up looks like this
tan 72° = 
solving for x gives us x= 8×tan 72°
which is about 24.62
Step-by-step explanation: