You are given triangle RST with vertices R(-3,-1), S(-1,-1) and T(-4,-5).
1. Apply the rotation of 90° counterclockwise about the origin that has a rule:
(x,y)→(-y,x).
Then
- R(-3,-1)→R''(1,-3),
- S(-1,-1)→S''(1,-1),
- T(-4,-5)→T''(5,-4).
2. Second transformation is translation 1 unite up with a rule:
(x,y)→(x,y+1).
So
- R''(1,-3)→R'(1,-2);
- S''(1,-1)→S'(1,0);
- T''(5,-4)→T'(5,-3).
As you can see these points are exactly those from the task condition.
Answer: 1st transfomation is rotation of 90° counterclockwise about the origin and 2nd transformation is translation 1 unite up
Answer:
12
Step-by-step explanation:
(10/y + 13) -3
Let y=5
(10/5 + 13) -3
PEMDAS says parentheses first
(2 +13) -3
15 -3
12
The volume of half a cylinder is given by:
V = (1/2) * (pi) * (r ^ 2) * (L)
Where,
r : cylinder radius
L: cylinder length.
Substituting values we have:
V = (1/2) * (3.14) * ((12.5 / 2) ^ 2) * (30)
V = 1839.84375
Rounding off we have:
V = 1840 in ^ 3
Answer:
jamie needs to buy 1840 in ^ 3 of dirt to fill the planter
