Answer:
V = 4/3 x pi x r^3
972 x pi= 4/3 x pi x r^3
729 = r^3
The cubic root of 729 is 9 because 9 x 9 x 9 = 729.
The radius is 9 inches, and the diameter is 18 inches.
The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.
Step-by-step explanation:
The function d(t) represents the distance traveled by the train after t hours. d(5) is the total distance traveled by the train after 5 hours, which means 6:00 pm. The d(2) is the total distance traveled by the train after two hours, 3:00 pm. The expression d(5) - d(2) represents the total distance traveled by the train from 3:00 pm to 6:00 pm or for traveling at a constant speed for 3 hours.
Answer:
The rule of the translation is (x,y) ----> (x+3,y-6)
The coordinates of the duck’s final position are (4,-3)
Step-by-step explanation:
we know that
A duck is going to fly from the coordinates (1, 3) then go 3 units right. And 6 units down
That means -----> The rule of the translation is
3 units right ----> x+3
6 units down ---> y-6
so
(x,y) ----> (x+3,y-6)
To find out the the coordinates of the duck’s final position, apply the rule of the translation to the duck’s original position
so
(1,3) ------> (1+3,3-6)
(1,3) ------> (4,-3)
Answer:
(4, 4 )
Step-by-step explanation:
Given the 2 equations
- 6x + 6y = 0 → (1)
9x - 8y = 4 → (2)
Multiplying (1) by 3 and (2) by 2 and adding will eliminate the x- term, that is
- 18x + 18y = 0 → (3)
18x - 16y = 8 → (4)
Add (3) and (4) term by term to eliminate x, then
2y = 8 ( divide both sides by 2 )
y = 4
substitute y = 4 into either of the 2 equations and solve for x
Substituting into (2)
9x - 8(4) = 4
9x - 32 = 4 ( add 32 to both sides )
9x = 36 ( divide both sides by 9 )
x = 4
Solution is (4, 4 )
Y=|x| +3
Y=-|x+2| -1
Y=3|x-4| - 5
