Combine like terms in Qx + 12 = 13x + P:
x(Q-13) = P-12
P-12
Then x = ----------
Q-13
Note that Q may not = 13. But none of the answer choices present Q = 13.
Let's go thru the answer choices one by one.
P-12
x = ----------
Q-13
-24
Check out A: Q=12 and P= -12: x = -------- = 24 This is OK (ONE sol'n)
-1
-25
Check out B: Q = -13 and P = -13: x = ----------- = 25/26 OK
-26
13-12
Check out C: Q = -13 and P = 13: x = ------------ = -1/26 OK
-13-13
12-12
Check out D: Q = 12 and P = 12: x= ---------- = 0 OK
12-13
It appears that in all four cases, the equation has ONE solution.
Answer:
63 yards.
Step-by-step explanation:
The circumference of a circle is its diameter multiplied by the constant pi.
. We are told to use
and
, so we rearrange: 
We find that
.
Answer:
Look below. The answers are bolded!
Step-by-step explanation:
1. <em>10x + 23</em>
5+6(2x+3)-2x
Distribute first!
5 + 12x + 18 -2x.
Now you can combine like terms.
23 + 10x
2. <em>18x + 6</em>
3(4x+8) + 3(2x-6)
Distribute first!
12x + 24 + 6x - 18
Now you can combine like terms.
18x + 6
3. <em>-2x + 8</em>
(32-8x)
____
___
4
Divide 32 and -8x by 4.
32/4 = 8
-8x/4 = -2x
-2x + 8
4. <em>4x + 3</em>
24x+18
______
6
Divide 24x and 18 by 6
24x/6 = 4x
18/6 = 3
4x + 3
Answer:
the answer is 15 and 10
Step-by-step explanation:
<span>If you're aware of the binomial theorem, you have that:
</span>


The fourth term is then the case

, from which: