Answer: it will trave 56.89 meters before coming to rest.
Step-by-step explanation:
This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as
S = a/(1 - r)
where
S = sum of the distance travelled by the ball
a = initial distance or height of the ball
r = common ratio
From the information given,
a = 128/9
r = (32/3)/(128/9) = 0.75
Therefore,
S = (128/9)/(1 - 0.75) = 56.89 meters
Answer:
x=3
z=65
Step-by-step explanation:
6x+97 and 14x+73 are vertical angles which means they are equal
6x+97= 14x+73
Subtract 6x from each side
6x-6x+97= 14x-6x+73
97 = 8x +73
Subtract 73 from each side
97-73 = 8x+73-73
24 = 8x
Divide each side by 8
24/8 = 8x/8
3 = x
Now we need to find z
6x+97 and z are supplementary angles which means they add to 180
6x+97 +z = 180
6(3) +97 +z = 180
18+97+z=180
Combine like terms
115+z = 180
Subtract 115 from each side
115-115 +z=180-115
z = 65
Answers:
___________
1) [C]: 4/6 ;
___________
2) [D]: 5/8 ;
___________
3) [A]: 10/3 ;
___________
4) Both: [C]: 2/10; and: [D]: 3/13; are NOT multiples of 1/12
_______________________
Answer:
x=4
or
x=-6
Step-by-step explanation:
did you know u can solve that equation on your calculator without much struggle?
Answer: y = -1/4x - 4
Step-by-step explanation:
y = (-1/4)x + 2 (This is the first linear function.)
(4,3) has slope of (-1/4)x or (1/-4)x
4(y2) - 4(y1= the new y -1(x2) -3(x1) = new x which leads to (0,-4) so y-intercept = -4
so all in all, y = (-1/4)x -4 is the answer
Hopefully, you're able to understand this. It's difficult to explain through typed words rather than visually and through a written example.
