The correct answer is line TX and line QX are perpendicular.
Answer:
See explanation
Step-by-step explanation:
1. R is the set of all integers with absolute value less than 10, thus

2. A is its subset containing all natural numbers less than 10, thus

3. B is the set of all integer solutions of inequality 2x+5<9 that are less than 10 by absolute value (and therefore, it is also a subset of R). First, solve the inequality:

Thus,

See the diagram in attached diagram.
Note that

Answer:
No
Step-by-step explanation:
Plug (-2,1) into -3x+y=5. This will make it -3(-2)+(1)=5. This is equal to 6+1=5. 7=5. 7 is not equal to 5. Therefore, (-2,1) is not a solution to the equation -3x+y=5.
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Answer:
Step-by-step explanation:
2/
5
k−
3
/5
k+
1
/10
k
=
2
/5
k+
−3
/5
k+
1
/10
k
Combine Like Terms:
=
2
/5
k+
−3
/5
k+
1
/10
k
=(
2
/5
k+
−3
/5
k+
1
/10
k)
=
−1
/10
k
Answer:
=
−1
/10
k
Answer:
C. 3.33 hours
Step-by-step explanation:
Use the algebra work equation:
=
+
, where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person
Plug in the values we know:
=
+ 
=
+ 
= 
20 = 6tb
3.33 = tb
So, it would take them 3.33 hours when working together.