Answer:
Image point → (6, 1)
Step-by-step explanation:
Given point → (-3, 3)
Transformation to be done → ![R_{180}0T_{-3,-4}](https://tex.z-dn.net/?f=R_%7B180%7D0T_%7B-3%2C-4%7D)
Transformations to be done,
Step - (1). Translation of the given by 3 units left and 4 units down.
Step - (2). Followed by the rotation counterclockwise 180° about the origin.
Rule for step (1),
(x, y) → (x - 3, y - 4)
By this rule,
(-3, 3) → [(-3 - 3), (3 - 4)]
→ (-6, -1)
Rule for step -2,
(x, y) → (-x, -y)
(-6, -1) → (6, 1)
Therefore, following these two steps coordinates of the image point → (6, 1)
Answer:
dozen
Step-by-step explanation:
× 3 = ![\frac{3}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B12%7D)
× 2 = ![\frac{10}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B12%7D)
![\frac{3}{12} + \frac{10}{12} = \frac{13}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B12%7D%20%20%2B%20%5Cfrac%7B10%7D%7B12%7D%20%20%3D%20%5Cfrac%7B13%7D%7B12%7D)
is equal to ![1\frac{1}{12}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B12%7D)
5 + 4 = 9 +
=
dozen
Answer:
there are 8 blue socks
Step-by-step explanation:
28 / 4 = 7
multiply 2/7 by 4 and you get 8/28
The equivalent expression for the given expression (w+9)+3 using associative property is w + 12
Solution:
Given that, expression is ( w + 9 ) + 3
We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3
The associative property states that you can add or multiply regardless of how the numbers are grouped
By above definition, we get
(a + b) + c = a + (b + c)
So, now let us apply the above property to the given expression,
Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12
Hence, the equivalent expression for the given expression is w + 12