Answer:
Step-by-step explanation:
Given:
ΔA'B'C' image.
A (-1,2)
B (-1,-1)
C (-5,-10)
rule of translation(x,y) → (x + 1.5,y - 3.5)
This means that the given coordinates are the the sum of x and the difference of y.
A:
-1 = x + 1.5 → -x = 1.5 + 1 → -x = 2.5 → -x/-1 = 2.5/-1 → x = -2.5
2 = y - 3.5 → -y = -3.5 - 2 → -y = -5.5 → -y/-1 = -5.5/-1 → y = 5.5
A (-2.5 , 5.5)
B:
-1 = x + 1.5 → -x = 1.5 + 1 → -x = 2.5 → -x/-1 = 2.5/-1 → x = -2.5
-1 = y - 3.5 → -y = -3.5 + 1 → -y = -2.5 → -y/-1 = -2.5/-1 → y = 2.5
B (-2.5,2.5)
C:
-5 = x + 1.5 → -x = 1.5 + 5 → -x = 6.5 → -x/-1 = 6.5/-1 → x = -6.5
-10 = y - 3.5 → -y = -3.5 + 10 → -y = 6.5 → -y/-1 = 6.5/-1 → y = -6.5
C (-6.5, -6.5)
The pre image will have the following coordinates:
A (-2.5 , 5.5) ; B (-2.5,2.5) ; C (-6.5, -6.5)
Only if you include negatives. The sum of 3 and 1/2 + -1 and 1/2 equals 2..
The volume of the smaller rectangular prism is 343 in^3 and the volume of the larger rectangular prism is 1,000 in^3.
Answer:
234
Step-by-step explanation:
Create equations:
10X+15y=2575.
X+Y=210.
Solve for X: X=210-Y, and sub it into the other equation: 10(210-Y)+15Y=2575. Solve for Y: 2,100-10y+15y=2575, 5y=475, y=95.
Sub Y into the original problem: X+95=210. Solve: X=115.
The first mechanic charges $115 per hour and the second charges $95 :)
