Distribute
a(b+c)=ab+ac
3p(3pq-4)=9p^2q-12p
we have
3p^2q+9p^2q-12p+5p^3
add like terms
4p^3+12p^2q-12p
Absolute value of 7. Any real numbers in the absolute sign would equal to the positive value.
<u>D</u><u>e</u><u>f</u><u>i</u><u>n</u><u>i</u><u>t</u><u>i</u><u>o</u><u>n</u>

If we substitute x = 7 in. Answer by using the definition of absolute value. Note that we only substitute x = 7 in x and not -x since 7 is greater than 0 and not less than 0.

You may also be wondering what will happen if we substitute x = any negative numbers.

Because -7 is less than 0. We substitute in -x and not x. This is the definition of absolute value. But to understand it easily, any numbers in absolute value have to equal to their positive value.
Conclusion
- |7| means the absolute value of 7.
- |7| is 7.
- |x| is x when x ≥ 0 but -x when x < 0
Let me know if you have any doubts regarding the absolute value through comment!
Hey there,
Your question states: <span>The coordinates of A, B, and C in the diagram are A(p, 4), B(6, 1), and C(9, q). Which equation correctly relates p and q?
Your correct answer would be </span><span>D. p − q = 7 BECAUSE . . .we would have to back the number up because we would need to basically subtract </span>

which would give you 7. So D.) would be your answer.
Hope this helps.
~Jurgen
Answer:
-The equation r+b-33 represents the total number of marbles
-There 9 black marbles
-There are 24 red marbles
Step-by-step explanation:
The bag contains 33 red and black marbles. Let the number of black marbles be b and that of red marble to r
Total number of marbles will be
b+r = 33 i.e b+r-33 = 0... (1)
If the number of red marbles is 6 more than double the number of black marbles, this can be represented as;
r = 6+ 2b... (2)
Substituting 2 in eqn 1 we have;
b + 6+2b = 33
3b = 27
b = 9
r = 33-9
r = 24
This shows that there are 9 black marbles, 24 red marbles and the equation r+b-33 represents the total number of marbles in the bag.