Answer: she could get any of them the smalls ones or the large ones because 4x4=16 and 4x6=24 so she could pick the small or the large ones.
Y = (-1/9).x + 4
The slope m of the line perpendicular to y = (-1/9).x + 4 is equal to 9:
(if the product of 2 slopes = - 1, then the 2 lines are perpendicular)
y = 9x + b, Since it passes by the point (-1,0) , then:
0= 9(-1) + b and b = 9
Final equation:
y = 9x+9
Answer:
Step-by-step explanation:
since there are 205 calories in 5 crackers we can represent this as
205/5
we need to find how many calories are in one cracker, so lets take "x" as the # of calories in 1 cracker
so
cross multiply
5x=205
divide by 5 on both sides
x=41
41 calories in 1 cracker
Number line:
Step-by-step explanation:
the difference is the previous term multiplied by 4 to get the next term
2,8,32,128,512,2048,8192
Hope that helps :)
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
