Answer:
-2 1/4z +1/4
Step-by-step explanation:
3/4 - 4z +5/4 z- 1/2 + 1/2 z
Put like terms near each other
3/4- 1/2 - 4z +5/4 z+ 1/2 z
We need to get common denominators to combine
First the constant terms
3/4 - 1/2*2/2
3/4 - 2/4 = 1/4
Then the variable terms
-4z *4/4 +5/4z + 1/2z *2/2
-16z/4 + 5/4z +2/4z
-9/4z
Changing from an improper fraction to a mixed number
-2 1/4 z
-2 1/4z +1/4
Answer: should be 1/2
Step-by-step explanation:
It’s been a while but I believe scaling the triangle by 1/2 will end with a reduction, a smaller triangle.
I know pretty sure anything equal and larger then 1 would make the triangle grow.
There would be 18 plums and 12 apples. Or, 18:12. If Ed ate 6 plums, then the ratio is 12:12
So she would have put 30 fruits (18 plums and 12 apples) on the plate
Hope this helps!
Answer:
(4, 5)
Step-by-step explanation:
Dilation by factor d about point (a, b) effects the transformation ...
(x, y) ⇒ d((x, y) -(a, b)) +(a, b)
⇒ (d(x-a) +a, d(y-b) +b)
(x, y) ⇒ (dx +a(1-d), dy +b(1-d))
We have (x, y) = (3, 4) and (a, b) = (1, 2) and d=3/2. Filling in these numbers, we get ...
(3, 4) ⇒ ((3/2)(3)+1(1-3/2), (3/2)(4)+2(1-3/2)) = (9/2 -1/2, 6 -1) = (4, 5)
Point E' is (4, 5).
_____
If you look at the graph, you realize that E is (2, 2) from (1, 2). Dilation by a factor of 3/2 moves it to (3/2)(2, 2) = (3, 3) from (1, 2). So ...
E' = (3+1, 3+2)
E' = (4, 5)