9514 1404 393
Answer:
- reflection across the origin
- rotation 180° about the origin
- reflection across the x-axis, and translation right 6 units
Step-by-step explanation:
The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:
1. reflection across the origin
2. rotation 180° about the origin
3. reflection across both x- and y-axes, in either order
__
The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...
4. reflection across the x-axis and translation 6 units right, in either order
Answer:
B. x = -4
Step-by-step explanation:
- 7x - 35 = -7
add 35 to both sides
-7x = 28
Divde both sides by -7
x = -4
Answer: [-2,5)
Step-by-step explanation: A closed circle means a bracket and an open circle means Parentheses.
Answer:
x = 4.75 or 19/4 or 4 and 3/4
Step-by-step explanation:
10 - 4x = -9
-10 -10
-4x = -19
---- -----
-4 -4
x = 4.75 or 19/4 or 4 and 3/4
Answer:
66 gallons
Step-by-step explanation:
Given that initially 160 gallons of a solution containing 12% salt.
So, the initial amount of salt = 12% of 160 = 12/100 x 160 = 19.2 gallons.
Let x gallons of water get evaporated so that the remaining solution contains 20% salt.
The remaining amount of solution = 160-x gallons.
As the initial amount of salt is still in the solution which is equal to 20% of the remaining solution, so
19.2 = 20% of (160-x)
gallons
Hence, 66 gallons of water must be evaporated to get a 20% salt solution.