Answer:
145 cm
Step-by-step explanation:
155 cm - 10 cm
145 cm
Answer: -1/8 of the messages
Explanation: I do not have any friends.
Answer:
In the case of a decimal number, we round down to find the actual number of guesses. Therefore, for a 1000-element array, binary search would require at most 10 guesses. (which is 2,097,152), so we would need at most 22 guesses.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
To find how many real solution a quadratic equation has, we just need to find the value of its discriminant. If the discriminant is zero, the quadratic only has one real solution; if the discriminant is positive, the quadratic has two real solution; if the discriminate is negative, the quadratic doesn't has any real solutions.
The discriminant of a quadratic equation of the form 
is given by: 
We know from our quadratic that 
, 
, and 
.
Replacing values:
Since the discriminant is positive, we can conclude that our quadratic equation has two real solutions.
Answer:
The orientation of the figure has been changed by 90°, but the points are not all rotated around the same center. Translation is involved.
Step-by-step explanation:
Translation before rotation:
.. translate down 5 units
.. rotate counterclockwise 90° about the origin
Translation after rotation:
.. rotate counterclockwise 90° about the origin
.. translate right 5 units
This can also be accomplished by a double reflection.
.. reflect across the line y=x
.. reflect across the line x=2.5
Or,
.. reflect across the line y=2.5
.. reflect across the line y=x
