Answer:
Yes
Step-by-step explanation:
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Answer:
It falls to the left and rises to the right.
Step-by-step explanation:
The polynomial function is given as;
g(x) =10x^(9) - 50x^(6) - 500x²
In this polynomial, the leading coefficient is 10. This is positive and also an even number and thus it means the graph will rise to the right.
Also, the degree of the polynomial is 9 since that's the highest degree of x. This degree is odd and it means the graph will point in the opposite direction to that of the leading coefficient. Thus, we can say it falls to the left.
So in summary, the end behavior of the graph of g is that it falls to the left and rises to the right.
Answer:
The length of the longer leg is 6.24 cm.
Step-by-step explanation:
Here, the length of the hypotenuse = 8 cm
The length of shorten leg ( Base) = 5 cm
Let us assume the length of longer leg (Perpendicular) = k cm
Now, as the given triangle is a right angled triangle.
So, by the PYTHAGORAS THEOREM:
![( Base)^2 + ( Perpendicular)^2 = ( Hypotenuse)^2\\\implies (5)^2 + (k)^2 = (8)^2\\\implies k^2 = 64 - 25 = 39\\\implies k^2 = 39\\k = \sqrt{(39)} = \pm (6.24)](https://tex.z-dn.net/?f=%28%20Base%29%5E2%20%2B%20%28%20Perpendicular%29%5E2%20%20%3D%20%28%20Hypotenuse%29%5E2%5C%5C%5Cimplies%20%285%29%5E2%20%20%2B%20%28k%29%5E2%20%20%3D%20%288%29%5E2%5C%5C%5Cimplies%20k%5E2%20%20%3D%2064%20-%2025%20%20%3D%20%2039%5C%5C%5Cimplies%20k%5E2%20%20%3D%2039%5C%5Ck%20%3D%20%5Csqrt%7B%2839%29%7D%20%20%3D%20%5Cpm%20%286.24%29)
Now,as k is the length of the side, so it cannot be negative.
⇒ k = 6.24 cm
Hence, the length of the longer leg is 6.24 cm.