6x−12+2x=3+8x−15
Simplify:
6x+−12+2x=3+8x+−15
(6x+2x)+(−12)=(8x)+(3+−15)(Combine Like Terms)
8x+−12=8x+−12
8x−12=8x−12
Subtract 8x from both sides.
8x−12−8x=8x−12−8x
−12=−12
Add 12 to both sides.
−12+12=−12+12
0=0
The real numbers are the only solution we can have.
Define unit vectors along the x-axis and the y-axis as

respectively.
Then the vector from P to Q is

In component form, the vector PQ is (-8,5).
The magnitude of vector PQ is
√[(-8)² + 5²] = √(89) = 9.434
Answer:
The vector PQ is (-8, 5) and its magnitude is √89 (or 9.434).
Answer:
2000 L
Step-by-step explanation:
There are 1250 L of water in a tank at present. If the tank is 0.625 full, what is the capacity of the tank?
The simple solution is:
1250 L ÷ 0.625 = 2000 L
The algebraic solution is:
Let <em>c</em> equal the capacity of the tank.
Therefore, <em>c</em> × 0.625 = 1250.
Divide both sides by 0.625:
<em>c</em> × 0.625 ÷ 0.625 = 1250 ÷ 0.625
And simplify:
<em>c</em> = 1250 ÷ 0.625
<em>c</em> = 2000