Answer:
c
Step-by-step explanation:
24 + 4pi
This is because each side is 8 and the arc (using the perimeter of a circle formula) is 4pi.
Step-by-step explanation
The change in Vivian’s elevation is a positive number because her elevation increased as she moved from the bottom back to the top.
The short answer is that algebra doesn't work that way. You wouldn't divide *everything* by 2, but every term that contains a factor of 2.
In the expression
2 (6<em>x</em> - 1) + 2 (2<em>x</em> + 5)
both terms have a factor of 2 (the 2 out in front of them). They're the ones that get canceled when dividing by 2:
(2 (6<em>x</em> - 1) + 2 (2<em>x</em> + 5)) / 2 = 2/2 (6<em>x</em> - 1) + 2/2 (2<em>x</em> - 5)
… = 1 (6<em>x</em> - 1) + 1 (2<em>x</em> - 5)
… = (6<em>x</em> - 1) + (2<em>x</em> - 5)
and so on.
Looking ahead, it turns out that the equation is solved by <em>x</em> = 7. This makes 6<em>x</em> - 1 = 41 and 2<em>x</em> + 5 = 19. So the equation is saying that, if you make these replacements,
2×41 + 2×19 = 120
If you divide *everything* on the left by 2, you end up with fractions:
(2/2)×(41/2) + (2/2)×(19/2) = 41/2 + 19/2
but 41 + 19 = 60, so the end result would be 30, but that's not the same as 120/2 = 60.
Answer:
One solution
Step-by-step explanation:
Expanding the equation, we get
-2w-12-6w=4w+12
Subtracting 4w from both sides, we get
-12w-12=12
Now adding 12 to both sides,
-12w=24
Solving for w, we get
w=-2
So there is only one solution to the equation.
