Can anyone help with this problem??
1 answer:
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Answer:
36 miles
Step-by-step explanation:
His entire journey, represented with a diagram, is in the shape of a right angle triangle.
We need to first find the hypotenuse of the triangle, then, add all the sides together:
hyp² = opp² + adj²
hyp² = 9² + 12²
hyp² = 81 + 144 = 225
Find the square root of both sides:
hyp = 15 miles
Therefore, adding the three sides together:
Total distance traveled = 9 + 12 + 15
Total distance traveled = 36 miles
He would ride 36 miles altogether.
Answer:
x = -
Step-by-step explanation:
To find f(g(x)) substitute x = g(x) into f(x), that is
f(g(x))
= f(x + 1)
= 2(x + 1)² ← expand using FOIL
= 2(x² + 2x + 1) ← distribute
= 2x² + 4x + 2
To find g(f(x)) substitute x = f(x) into g(x), that is
g(f(x))
= g(2x²)
= 2x² + 1
----------------------------------------------------------
Equating gives
2x² + 4x + 2 = 2x² + 1 ( subtract 2x² + 1 from both sides )
4x + 1 = 0 ( subtract 1 from both sides )
4x = - 1 ( divide both sides by 4 )
x = -