Answer:
Is the question to develop the equation for the straight line shown?
If so,<u> y = (3/4)x + b</u>
Step-by-step explanation:
Look for an equation with the form y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
Calculate Slope using the Rise/Run.
Pick any two points. I chose (-4,0) and (4,6).
Going from left to right:
Rise = (6 - 0) = 6
Run = (4 - (-4)) = 8
Slope is Rise/Run, 6/8 or 3/4
So we have: y = (3/4)x + b
We can see that the y-intercept, b, is 3 (the value of y when x = 0).
The full equation becomes :<u> y = (3/4)x + 3 </u>
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 )
The answer is 700 because the 4 rounds down.
This can be solved using a ratio. The ratio is: 13/20=x/60 this would then become 20x= 780 divide both sides by 20 and you get x=39. the answer is 39
For this case we have an equation of the form:

Where,
h0: initial height
v0: initial speed
a: acceleration
Substituting values we have:

Rewriting we have:

Note: see attached image
Answer: