Answer:
<h2>r = 8</h2>Step-by-step explanation:
The standard form of an equation of a circle:
(h, k) - center
r - radius
We have the equation:
Therefore the center is (0, 0) and the radius r = 8
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Answer:
f(x) is linear
g(x) is exponential
Step-by-step explanation:
A linear function will always have the same rate of change between equally distant points, while an exponential function will have an increasingly large rate of change between equally distant points.
First, look at f(x). All these points are equally distant at 2 units apart on the x-axis, so they can be directly compared:
All of these points are the same distance apart on the y, so f(x) must be a linear function.
Now look at g(x). These are also all equally distant at only 1 unit apart.
These are very clearly not the same distance apart on the y, so g(x) must be the exponential function.
Answer:
Step-by-step explanation:
The given expression is
First, we need to factor each denominator
So, the least common factor (LCF) is , because they are the factors that repeats.
Now, we diviide the LCF by each denominator, to then multiply it by each numerator.
Then, we factor the numerator, to do so, we need to find two numbers which product is 10 and which sum is 7.
Therefore, the expression is equivalent to