Answer:
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B........................
ANSWER
A. x = 2, √11, -√11
EXPLANATION
To find the zeros of f, which is a 3rd-degree polynomial, we can try some common values to see if any of them is a zero: 1, 2, -1, -2. In this case 2 is a zero of the function:
Now we can reduce our polynomial by dividing it by the factor (x - 2) and obtain a 2nd-degree polynomial, whose zeros are easier to find:
So we can rewrite f(x) as:
To find the other two zeros we have to solve:
Add 22 to both sides of the equation:
Divide both sides by 2:
And take square root. Remember that the square root has a positive and a negative result:
So the other two zeros are √11 and -√11.
The three real zeros of f are 2, √11 and -√11
Answer:
8√2 ≈ 11.31 meters
Step-by-step explanation:
The straight-line distance is the hypotenuse of an isosceles right triangle with legs 8 meters. So, the distance is 8√2 meters, about 11.31 meters.
_____
Of course, you know that a right triangle with legs 1 and 1 has a hypotenuse of ...
√(1² +1²) = √2 . . . . . given by the Pythagorean theorem
Scaling this by a factor of 8 meters gives you legs of 8 meters and a hypotenuse of 8√2 meters.
Answer:
option a and d
Step-by-step explanation: