Answer:
B' = (-8,-1) , C' = (4, 5)
Step-by-step explanation:
The coordinates of A are (-5,-7)
The coordinates of C are 3 units to the right and 4 up from A.
So for a dilation factor 3 C' will be 9 to the right and 12 up from A.
C' = (-5 + 9) , (-7 + 12)
= (4, 5).
The point B is 1 unit to left and 2 up from A.
So B' is (-5 -3) , (-7+ 6)
= (-8, -1).
Answer:


Step-by-step explanation:
Given
-- height of the wheel
Required
The expression for the distance traveled in 1 revolution
The height of the wheel implies that:
--- diameter equals height
The distance in 1 revolution is calculated by calculating the circumference of the wheel using:
or 
Where



So, we have:






Answer:
The percentage decrease is 25%.
Step-by-step explanation:
The difference in price is $2:
$8 - $6 = $2
Now to find the percentage decrease, we use the formula decrease in price divided by original price (or new/old) times 100:
2/8 * 100.
This equals 200/800 which is 25%.
Plugging in -2 into the function results in f(-2)=3*(-2)+4
f(-2)=-6+4= -2
Answer:
1) 15/32
2) 2
Step-by-step explanation:
1) 3
/8 / 5/4
= 3 · 5
/8 · 4
= 15
/32
2) 4/5 * 2 1/2
First solve --> 2 1/2 = 2 · 2 + 1
/2
= 5
/2
Then solve: 4
/5 * 5
/2
= 4 · 5
/5 · 2
= 20
/10
= 2 · 10
/1 · 10
= 2