Answer:
The length of the line segment is of 5.9 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, 
and 
. The distance between these two points is given by:
How long is the line segment?
The distance between points P and Q. So
P(1,3), and Q(4,8).
The length of the line segment is of 5.9 units.
3x+4y=12
9x-2y=15
we will use elimination
multiply 3x+4y=12 by -3
-9x-12y=-36
9x-2y=15
_________ add
-14y=-21
÷-14 both sides
y=1.5
find x
3x+4 (1.5)=12
3x+6=12
-6 both sides
3x=6
÷3 both sides
x=2
x=2
y=1.5
Answer:
Step-by-step explanation:
We know:
We have
Use 
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Answer:
2) n > 16
Step-by-step explanation:
Usually, a statement is written as:
If P, then Q
Where P = hypothesis
Q = conclusion.
And our statement is:
if 2n - 7 > 25, then n > 16
(We can easily solve the inequality to get the thing in the right:
2n - 7 > 25
2n > 25 + 7 = 32
n > 32/2 = 16
n > 16 )
then:
P = (2n - 7)
Q = n > 16
Then the conclusion is: n > 16
The correct option is 2) n > 16
If you would like to know the production rate of factory E, you can calculate this using the following steps:
Factory Number of days Number of shirts
A 2 600
B 3 900
C 4 1200
D 5 1500
Factory E can make shirts at the same rate as the first four factories:
600 shirts / 2 days = 300 shirts per day
900 shirts / 3 days = 300 shirts per day
1200 shirts / 4 days = 300 shirts per day
1500 shirts / 5 days = 300 shirts per day
Factory E will make 1800 shirts in 6 days, therefore 1800 / 6 = 300 shirts per day.
The correct result would be:
Factory Number of days Number of shirts
E 6 1800
