Answer:
Solution set = {-12, 12}
Step-by-step explanation:
Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:
Now we consider the two possible cases:
1) The expression inside the absolute value symbol is a positive number, then :
and replacing it in the equation, this becomes:
which is our first answer.
2) The expression inside the absolute value symbol is a negative number, then :
and replacing it in the equation, this becomes:
which is our second possible answer.
Then the set of solutions is: {-12, 12}
Answer:
4.5 mph or 9/2 mph
Step-by-step explanation:
Let x be the rate of the current
Formula: Distance = rate x time
where rate upstream =(12-x) and time =2 hours
15=(12-x)(2)
15=24–2x
2x=24–15
2x= 9
x=9/2=4.5 miles per hour (rate of current)
The answer is 9 because you solve it from left to right and 3x5 equals 15, 15 subtracted by 6 equals 9
Answer:
429.42 cm
Step-by-step explanation:
<u>Volume of a rectangle prism:</u>
V = whl
V = (5)(12)(7)
V = 420
<u>Volume of a cylinder:</u>
V = πr²h
V = (3.14)(1²)(3)
V = (3.14)(1)(3)
V = 9.42
<u>Combined:</u>
420 + 9.42
429.42
Take the root of both sides, and then solve.
c = sqrt a^2 + b^2, - sqrt a^2 + b^2.
