9514 1404 393
Answer:
1. B, E
2. A, E
16. B'(1, 5)
Step-by-step explanation:
Lines p and r are parallel, as are lines a and b. Either of the lines in one parallel pair is perpendicular to the lines in the other parallel pair. Line q has no necessary relation to anything, so can be ignored. (No answer containing q can be correct.)
__
1. p ⊥ b
r ⊥ a
__
2. r║p
a║b
__
16. Point B(3, 2) translated (right, up) = (-2, 3) will be ...
B' = B + (-2, 3) = (3, 2) +(-2, 3) = (3 -2, 2 +3)
B' = (1, 5)
Note: (x, y) coordinates are (<em>right</em>, <em>up</em>). So, in translation problems it is important to <em>pay attention.</em> Often, the up/down translation is listed before the left/right translation. If you're not paying attention, you may inadvertently reverse the numbers that need to be added to the coordinates to do the translation.
Answer:
Step-by-step explanation:
Set it up as fractions, Alex over Peter.
3/5 : 33/x Let x represent Peter's amount. Now find out: how do you get from 3 to 33? What times 3 equals 33? 11
What you do on the top, you must do on the bottom. If 3 times 11 equals 33, then 5 times 11 equals x. 5 times 11 equals 55, so x equals 55.
Peter will get 55. Don't forget the pound symbol.
Problems: Answers:
12 x - 13 - x - 9 = 10x x = 22
-15k - 1 + 12 + 2k k = 11/13
10a - 7b + 11 + 8a - b - 12 b = (9 a)/4 - 1/8
7a^2 + 10a - 3a - 2a^2 a = -7/5
-c + 5d + 7c - 11d + d - 3c d = (3 c)/5
x^2 - 3xy - 5xy - 7y^2 + 4x^2 + 8y^2 y = 4 x - sqrt(11) x