Answer:
B(5, -8)
Step-by-step explanation:
For this, you need to apply the Distance Formula √[(-x₁ + x₂)² + (-y₁ + y₂)²], in which EVERYTHING is wrapped under the radical. Here is how it is done:
√[(0 + 5)² + (-4 - 8)²]
↑
Since y₂ is -8,
replace the "+" with "-",
then attach 8.
This is what you get you get:
√[(5)² + (-12)²] >> √[25 + 144] >> √169 = 13
Since we are dealing with distance, it is a NON-NEGATIVE answer.
**Now, 16 is another possibility for y₂, however, it does NOT lie in Quadrant IIII, so be EXTREMELY careful when it comes to quadrants.
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Answer:
y=6x-9
Step-by-step explanation:
9(x + 1)^4 - 19(x + 1)^2 + 2 = 0
After expanding and re-factoring, we have:
(3x + 2)(3x + 4)(x^2 + 2x - 1) = 0
solutions are x = -2/3, x = -4/3, x = -1 - sqrt(2), x = sqrt(2) - 1
Solution:
In the given function b(t), the variable t represents the number of years after 2008. The domain of this function is . The range more than 258.7 would not make sense. The graph of the function is always continuous.
Explanation:
The given function b(t) shows the population of bobcats in northern Arizona since 2008. Therefore the variable t represents the number of years after 2008.
Since t represents the number of years after 2008, which is either positive or zero, therefore the domain of this function is .
The given function is a quadratic function and the coefficient of is negative, so it is a downward parabola. The range above the y-coordinate of the vertex doesn't make any sense.
The vertex of parabola is defined by .
Vertex of the given function is (4.2,258.7).
Thus, the range more than 258.7 would not make sense for this function.
Since the given function is a polynomial function and polynomial functions are always continuous, therefore the graph of the function is always continuous.