It shows you the exact distance from each number and it's easier to find out how far apart they are.
Answer:
Step-by-step explanation:
When making a right triangle with 2 points, the distance is the hypotenuse which can be represent as "x"
To find the distance we can use the Pythagorean theorem.
→ 
→ 
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<u>Let's Plug in the side lengths:</u>
<u>Evaluate 9²= </u><u>81</u><u> and 2²= </u><u>4</u><u>:</u>
<u>Now, add 81+4= 85</u>
<u>Take the square root of both sides:</u>
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9514 1404 393
Answer:
A(x) = 20000(0.88)^x
Step-by-step explanation:
The general form of these exponential equations is ...
A(x) = a·b^x
where 'a' is the initial value, and b is the annual growth factor. x is the elapsed time in years.
The growth factor is ...
growth factor = 1 + growth rate
Here, the growth rate per year is -12%, so the growth factor is ...
b = 1 -12% = 88% = 0.88
Of course, the initial value is a=20,000, so the equation is ...
A(x) = 20000(0.88)^x
Answer:
2 meters.
Step-by-step explanation:
We know that a cube of sidelength L has a volume:
V = L^3
Here, we know that the volume of water that the cube can hold is:
(1000/125) m^3
Then the volume of our cube is exactly that:
V = (1000/125) m^3
Then we have the equation:
L^3 = (1000/125) m^3
Which we can solve for L
L = ∛((1000/125) m^3 ) = (∛1000/∛125) m
Where we used that:
∛(a/b) = ∛a/∛b
Solving the cubic roots, we get:
L = (10/5) m = 2m
The length of the side of the water tank is 2 meters.
