From a to a', it is a translation transformation of T_(-9,+3) : (x,y) -> (x-9,y+3).
The transformation a' to a is the inverse transform of the previous translation,namely
t^(-1): (x,y) -> (x+9,y-3)
Answer:
3x^2 - 9x + 8
Step-by-step explanation:
To simplify:
- Distribute the -1 into the second term.
- Collect and combine like-terms (terms with the same variables or powers)
The expression can be rewritten has (2x^2 - 5x + 3) -1(-x^2 + 4x - 5)
After distributing the -1, the equation becomes:
- (2x^2 - 5x + 3) + (x^2 - 4x + 5)
The like-terms are:
- 2x^2 and x^2
- -5x and -4x
- 3 and 5
Combine the like-terms:
- 2x^2 + x^2 = 3x^2
- -5x - 4x = -9x
- 3 + 5 = 8
Substitute the simplified like-terms into the expression, in descending order:
Answer:
the answer is C because its 6 times 6 times 6
#2
2x - 4y = -2
2x + 3y = -16
------------------subtract
-7y = 14
y = 14/-7
y = -2
2x - 4y = -2
2x - 4(-2) = -2
2x + 8 = -2
2x = -2 -8
2x = -10
x = -10/2
x = -5
answer x = -2 and y = -5
check:
2(-5)- 4(-2) = -2
-10 +8 = -2
-2 = -2.....true
2x + 3y = -16
2(-5)+3(-2) = -16
-10 + (-6) = -16
-16 = -16...true
12 x 95 = 1,140cars so 10 more cars would be on the 96th truck
Answer: 95 full truckloads with 10 cars on the 96th truck
