Answer:
The length of the resulting line segment is 20 units and the length of a line segment is preserved on translation.
Step-by-step explanation:
The given length of the line segment is 20 units.
The line segment is translated up 6 units and left 8 units.
Here, the line segment is translated, so the whole line segment is at a new position after translation, there is no change in the length of the line.
So, the length of the line segment is preserved on translation.
After translation, the length of the line remains unchanged.
So, the length of the resulting line segment is 20 units.
Given data:
The given equationn of the circle is (x + 1)^2 + (y - 5)^2 = 16.
The standard equation of the circle is,

The given equation can eb written as,

Compare the above equation with standard equation.

Thus, the coordinate of centre is (-1, 5) and radius is 4.
Answer:
The correct answer is
= 0.33.
Step-by-step explanation:
A uniform random variable is used to describe the outcome of an experiment with the parameters being 50 and 80.
Probability density function = f(x) = 
Here a = 50 and b = 80.
We need to find the value of probability of this given experiment in an outcome less than 60.
∴ P(X<60) =
= 0.33.
Thus the required probability is given by 0.33.
Step-by-step explanation:
(x-3)^2
.,,...........