Answer:
8 = y
Step-by-step explanation:
In order to find a solution to an algebraic equation such as this one we simply need to isolate the variable. We do this by applying the opposite operation to each side in order to get rid of the other factors and get the variable alone. Like so...
20 = y + 12 ... we need to subtract 12 from both sides to get rid of the 12 on the right side with the variable y.
20 - 12 = y + 12 - 12
8 = y
Finally, we can see that the value of the variable y is 8
Answer:
DE = 55
Step-by-step explanation:
As you can see from the red marks showing that the lengths of each triangle are the same, it must also be true that E is equal to 55.
Part A: The first thing you should do is to graph both lines. Notice that one is of positive slope and another of negative slope.
The solution of the inequation system is given by the shaded region. That is, all the points that are in the shaded region satisfy the system of inequations.
Part B: the point (-2, -2) is NOT included in the solution area (it is not in the shaded region.
Mathematically it is demonstrated by substituting inequalities and seeing that they are not satisfied
inequality 1 -2 <4 (-2) - 2
-2 <-10 (false)
inequality two -2> = - (5/2) (- 2) - 2
-2> = 3 (false).
Here's a good rhyming rule to keep in mind.
Zero to four, you get no more.
Five to nine, move up one time.
With this rule you can see that there is a 5 at the end, therefor you should round up. Your number is 720.