Answer:
No, No, Yes, Yes
Step-by-step explanation:
The only given option that correctly defines a line segment is;
<u><em>Option C; All points between and including two given points.</em></u>
In geometry in mathematics, a line segment is defined as a part of a line that is bounded by two distinct end points.
Now, let us look at the options;
Option A; This is not correct because a line segment must have 2 distinct endpoints
Option B; This is not correct because a line segment is a part of a line and not a set of points.
Option C; This is correct because it tallies with our definition of line segment.
Option D; This is not correct because a line segment does not extend infinitely.
Read more at; brainly.com/question/18089782
Answer:
49 minutes
Step-by-step explanation:
To find the average time the machine was down per day, we need to add up the total time taken and then divide by the number of days. Since there are 5 days, we have:

= 49
So, the average time per day is 49 minutes.
Hope this helped! :)
Answer:
5, 7.5, 10
Step-by-step explanation:
Answer:The second choice is the correct one
Explanation:(2x+3)^2 + 8(2x+3) + 11 = 0
To use the u substitution, we will assume that:
2x + 3 = u
Substitute with this in the given expression, we will get:
u^2 + 8u + 11 = 0
The general form of the second degree equation is:
ax^2 + bx + c = 0
Comparing the expression we reached with the general one, we will find that:
a = 1
b = 8
c = 11
The roots can be found using the rule found in the attached picture.
This means that, for the given expression:
u = -4 ± √5
Now, we have:
u = 2x+3
This means that:
at u = -4 + √5
2x + 3 = -4 + √5
2x = -7 + √5
x = (-7 + √5) / 2
at u = -4 - √5
2x + 3 = -4 - √5
2x = -7 - √5
x = (-7 - √5) / 2
This means that, for the given expression:
x = (-7 ± √5 ) / 2
Hope this helps :)