34.4 ÷ 4 = 8.6, which 8.6 as a fraction is 43/5
Answers : A and D
Step - by - step explanation :
tip : when finding constant of proportionality it's always Y divided by X
A = what is 22.5 divided by 3 ? 7.5 ( now multiply 7.5 by the next X [ 4 ] )
what is 7.5 x 4 ? 30 ( and since on the graph it also says 30 then you can assume this one has a proportional relationship )
B = what is 12 divided by 3 ? 4 ( now multiply 4 by the next X [ 5 ] )
what is 4 x 5 ? 20 ( and because the graph says 25 then you know it's NOT a proportional relationship )
C = what is 8.5 divided by 2 ? 4.25 ( now multiply 4.25 by the next X [ 5 ] )
what is 4.25 x 5 ? 21.25 ( and because the graph says 22.5 then you know it's NOT a proportional relationship )
D = what is 10 divided by 2 ? 5 ( now multiply 5 by the next X [ 3 ] )
what is 5 x 3 ? 15 ( and since on the graph it also says 15 then you can assume this one has a proportional relationship )
( sorry it took me so long to write this )
(y + 1)^3 would just be dividing the two
If you want it completely simplified, then it’s the following:
(y + 1)(y + 1)(y + 1)
= y^2 + y + y + 1 (y + 1)
= y^2 + 2y + 1 (y + 1)
= y^3 + y^2 + 2y^2 + 2y + y + 1
= y^3 + 3y^2 + 3y + 1
The <u>correct answer</u> is:
B) The variables are height and time. For the first part of the graph, the height is increasing slowly, which means the hiker is walking up a gentle slope. Flat parts of the graph show where the elevation does not change, which means the trail is flat here. The steep part at the end of the graph shows that the hiker is descending a steep incline.
Explanation:
The variables are marked on the graph. Time is marked along the x-axis, which means it is the independent variable. Height is marked along the y-axis, which means it is the dependent variable.
The first part of the graph rises slowly. This means the elevation does not change much over the time; this would be consistent with a gentle slope being climbed.
The flat areas are where the elevation does not change. This would be consistent with the hiker resting.
The steep decrease at the end shows that the elevation goes down quickly. This is consistent with the hiker climbing down a steep slope.
Answer: 14
Step-by-step explanation:
Input Data :
Point 1 (
x
A
,
y
A
) = (-4, -8)
Point 2 (
x
B
,
y
B
) = (10, -8)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points = √
(x
B
−
x
A
)
2
+
(
y
B
−
y
A
)
2
Solution :
Distance between two points = √
(
10
− −
4
)
2
+
(
−
8
− −
8
)
2
= √
14
^2
+
0
^2
= √
196
+
0
= √
196
= 14
Distance between points (-4, -8) and (10, -8) is 14
