Answer:
1/3
Step-by-step explanation:
Simplify the following:
((36/2)/(3×9))/2
((36/2)/(3×9))/2 = 36/(3×9×2×2):
36/(3×9×2×2)
36/9 = (9×4)/9 = 4:
4/(3×2×2)
4/2 = (2×2)/2 = 2:
2/(3×2)
2/(3×2) = 2/2×1/3 = 1/3:
Answer: 1/3
Answer: 
Step-by-step explanation:
Given the following inequality:
You need to solve for "x" in order to find the solution.
The steps are:
1. Add 
to both sides of the inequality:
2. Add 
to both sides:
3. Divide both sides by 
:
Notice that "x" is less than 8. This indicates that 8 is not included in the solution and you must use parentheses.
The solution in Interval notation is:
This question is quite simple really. They are basically asking you to combine like terms. You have two different figures with the variable y, so you just combine the them. It would then be 3x + 2y. You cannot simplify this equation any further since there is nothing to solve for or anymore like terms to combine.
Answer: OPTION A
Step-by-step explanation:
The distance between any number is always positive so we should apply the absolute value.
The distance between numbers=number 1-number2 (or vise versa, and that is why we need absolute value)
In your question, the two numbers are 3/4 and 2. Applying to the expression above, the distance between two numbers should be |3/4-2| or |2-3/4|.
The only option in your case is |3/4-2| and this is it.
Hope this helps!! :)
Please let me know if you have any question
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x
