Answer:
a:b = 2
Step-by-step explanation:
Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).
We have:
2a−b/6 = b/3
Lets sum b/6 in both sides:
2a−b/6 + b/6 = b/3 + b/6
2a = b/3 + b/6
Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:
2a = b/3*(2/2) + b/6
2a = 2b/6 + b/6
2a = 3b/6
2a = b/2, as 3/6 = 1/2
Now lets divide both sides by b to make an a/b appear:
2a/b = (b/2)/b
2a/b = 1/2
Finally, multiply both sides by (1/2) or divide by 2:
(2a/b)/2 = 2
a/b = 2
This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.
Answer:
the coordinates of point B are (-5, 2)
Step-by-step explanation:
1. use midpoint formula to find the midpoint (equation attached below)
2. plug in the numbers
3. solve
This is an exponential equation with a starting value of 12000 and an increase of 15% each years.
The following are true:
C. Each year, it increases by 15%
E. The painting's value was 12,000 at the time is was sold.
Answer:
36.1 meters
Step-by-step explanation:
Since this is a rectangle, the parallel sides are equal to each other, meaning we technically already know all the side lengths.
I'll choose to look at the bottom triangle in this case
30 is already there, and the other leg should be 20. Knowing this, we can plug these into the pythagorean theorem.
20 is A, 30 is B, and the missing side is C
C, the missing side to the nearest tenth is 36.1 meters
Answer:
(-2, 0)
Step-by-step explanation:
This is where the line crossed the x axis.
