Answer:
Step-by-step explanation:
Given the original coordinate as C (-6, 9) and new coordinates after dilation as C' (-2, 3), we can see that the value of the new coordinates has reduces by a factor. Let the factor be k
For the x coordinates:
C' = kC
x' = kx
-2 = k(-6)
-2 = -6k
Divide both sides by -6
k = -2/-6
k = 1/3
For the y-coordinates:
y' = ky
3 = 9k
Divide both sides by 9:
3/9 = 9k/9
1/3 = k
k = 1/3
Hence the scale factor of the dilation is 1/3
Forks to spoons to knives.....5:4:2.....added = 11.....so 5/11 of the total amount is spent on forks, 4/11 of the total amount is spent on spoons, and 2/11 of the total amount is spent on knives.
so if there is a total amount of 300 (maximum)....
5/11 * 300 = 1500/11 = 136.36 is spent on forks
4/11 * 300 = 1200/11 = 109.09 is spent on spoons
2/11 * 300 = 600/11 = 54.55 is spent on knives
so if $ 136.36 is what can be spent on forks, and forks cost $ 3.50 each....then at most, he can get : 136.36 / 3.50 = 38.96 rounds to 38 forks <==
Answer:
The first step in solving the equation provided is to subtract 3 from 3 itself and 15. You are subtracting three from both sides
Answer:
v = -9
Step-by-step explanation:
-14v + 18v = 4v
4v + 2v = 6v
6v + 12v = 18v
18v - 17v = 1v
1v = -9
v = -9
9514 1404 393
Answer:
36√3 cm
Step-by-step explanation:
The perimeter of an equilateral triangle is 2√3 times the height.
P = (2√3)h
P = (2√3)(18 cm) = 36√3 cm
_____
<em>A little more detail</em>
The hypotenuse of a 30°-60°-90° triangle is 2/√3 times the longer leg. Here, the longer leg is 18 cm, so the side length of the equilateral triangle is ...
18(2/√3) = 12√3 . . . cm
The equilateral triangle perimeter is 3 times that, or 36√3 cm.
