Answer:
Step-by-step explanation:
11. 76x + 23x = 33
99x = 33
x = 33/99 which reduces to 3
12. 140r - 8r - 4r = 216
128r = 216
r = 216/128 which reduces to 27/16
13. 98c - 99c = 1
-1c = 1
c = -1/1
c = -1
14. 104mn + (-84mn) = 36
104mn - 84mn = 36
20mn = 36
mn = 36/20 which reduces to 9/5....I am not sure about this one...I was not sure if u were looking for m or n..so I didn't separate them. But if ur looking for m, it is m = 9/5n...and if ur looking for n, it is n = 9/5m
15. 118j - 234j = 234
- 116j = 234
j = -234/116 reduces to - 117/58
Answer:
c) 1/3
Step-by-step explanation:
since there are 6 sides to the dice and 2 options could be chosen= 2/6 and that simplified is 1/3
If AB is twice as large as A'B', the scale factor must be 0.5 to get from AB to A'B':
Answer:
(x-5)^2+2
Step-by-step explanation:
To convert between standard and vertex form, you have to complete the square (which, as a reminder, (a+b)^2 = a^2+2ab+b^2).
Since a^2 is x^2, and 2ab is -10x, then b must be -5, so b^2 is 25. Therefore, we add and subtract 25 from the expression:
(x-10x+25)+27-25
Then, we can make (x-10x+25) to (x-5)^2:
(x-5)^2+2
