In order from top to bottom, your answer should be:
A
C
B
Answer: The first option is correct.
Explanation:
The given piecewise function is,

From the piecewise function we can say that if x<0, then

If
, then

Since the f(x) is defined for x<0 and
, therefore the function f(x) is not defined for
.
In the graph 2, 3 and 4 for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.
Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for
, hence the first option is correct.
Answer:
BG = 3; GE = 6
Step-by-step explanation:
The centroid of a triangle divides the median into two parts in the ratio 1 : 2. That is, the short segment is 1/3 the length of the median, and the long segment is 2/3 the length of the median.
BG = 1/3·BE = 9/3 = 3
GE = 2/3·BE = 2/3·9 = 18/3 = 6
The answer is the first choice: 7, 15, 20.
When you want to know what three numbers can make up a triangle. All you have to do is take the first two numbers and add them up. If the sum is larger than the third number, it can form a triangle. If the sum of the first two numbers are smaller than the third number, it cannot form a triangle.
Hope this helped
Answer:
Obtuse Triangle
Step-by-step explanation:
When there is an angle with a measurement greater than 90 degrees, the triangle is an obtuse triangle.