So really all you have to do is simply the expressions on top to match them.
Starting with (4t-8/5)-(3-4/3t), distribute the negative sign to the right portion in parentheses, then distribute it all out and you will get 16/3t- 23/5
Basically, use distribution to simplify, here's all the matches:
(4t-8/5)-(3-4/3t) --> 16/3t- 23/5
5(2t+1)+(-7t+28) --> 3t+33
(-9/2t+3)+(7/4t+33) --> -11/4t+36
3(3t-4)-(2t+10) --> 7t-22
Answer:
is a horizontal stretch of 
by 
units.
Step-by-step explanation:
The given functions are;
and
The parent function is .
The function is a horizontal stretch of by units.
Answer:
B
Step-by-step explanation:
<DCE = BCA (vertical angles are congruent)
DC corresponds to CB,
DC/CB = 15/5 = 3
EC corresponds to CA,
EC/CA = 12/4 = 3
Thus, two sides in ∆ABC are proportional to two corresponding sides in ∆EDC, and also, the included angle in ∆ABC and ∆EDC are congruent to each other. Therefore, based on the SAS Similarity Theorem, ∆ABC and ∆EDC are similar.
The next term in this fraction sequence is 1/3.
To find the next term in this sequence, we can start by converting all of the fraction into a common denominator (so we can compare them better). The least common denominator for all of these number is 12. Now we can convert them all to something over 12.
To convert 2/3 to something over 12, we must find what form of one we must multiply 3 (the denominator) by to get 12. 12/3 is 4, so we must multiply by 4/4. This gives us 2/3 = 8/12.
Since 7/12 is already over twelve, we can just leave it alone.
To convert 1/2 to something over 12, we need to find what we have to multiply 2 by to get 12. 12/2 is 6, so now we need to multiply 1/2 by 6/6, which gives us 1/2 = 6/12.
5/12 is already over twelve, so we can just leave it alone.
Now we need to put them back in order. We have:
8/12, 7/12, 6/12, 5/12... Just by looking at them, we can see that the denominators are getting smaller by 1. That means that the next term in the sequence will be less than the previous one by 1/12. What term is less than 5/12 by 1/12? 4/12 is. But, that's not our answer. We can simplify 4/12 to get our answer of 1/3.
