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Answer:
Step-by-step explanation:
Evaluate the Pythagorean Theorem for the triangle.
a² + b² = c²
5² + x² = 10²
25 + x² = 100
Subtract 25 from both sides.
x² = 75
Square root.
x = sqrt(75)
Expand the radical.
x = 5*sqrt(3)
Answer:
11
Step-by-step explanation:
f(1) = 3(1) + 8 = 3 + 8 = 11
Answer:
Answer C: g(x)
Step-by-step explanation:
I used a graphing calculator to graph f(x) = -x^2 + 4x - 5, and by doing so I immedately saw that the vertex of f(x) is at (2, -1).
The absolute max of g(x) is approximately (3.25, 6.1).
The absolute max of f(x) is approximately (2, -1).
Since the y-coordinate of the absolute maximum of g(x) is greater than the y-coordinate of the absolute maximum of f(x), we conclude that Answer C is correct: g(x) has the greater absolute maximum
Answer:
V'(5, - 6)
Step-by-step explanation:
V(-5, 6)
For a counterclockwise rotation at 180°about the origin ;
The point (a, b) becomes - - - - > (-a, - b)
Therefore,
If ; V(-5, 6) is rotated 180° counterclockwise about the origin, we have ;
V(-5, 6) - - - - > V'(5, - 6)
