Hello from MrBillDoesMath!
Answer:
Top line: y = (2/3)x + 2
Bottom line: y = (2/3)x -1
Discussion:
The graph provided is hard to read but I did the best I could.
The top line appears to pass through the points (0,2) and (-3,0)
For this line
m = change y /change x = (0-2)/(-3-0) = -2/-3 = +2/3. So
y = mx + b => y = (2/3) x+ b. As the line passes through (0,2) set x = 0, y= 2 in y = (2/3)x + b =>
2 = (2/3) 0 + b => b = 2
Therefore y = (2/3)x + 2
The bottom line appears to pass through the points (0,-1) and (3,1)
For this line
m = change y /change x = (1-(-1)) /(3-0) = +2/-3. So
y = mx + b => y = (2/3) x+ b. As the line passes through (0,-1) set x = 0, y= -1 in y = (2/3)x + b =>
-1 = (2/3) 0 + b => b = -1
Therefore y = (2/3)x + -1
Thank you,
MrB
Answer:
The fourth term is -102----------------------------------------------
Explanation:
The term after the nth term is generated by this rule
which means that we first
Step 1) multiply the nth term (
) by -4
Step 2) Add the result of step 1 to the value 2 to get the next term in the sequence
Let's follow those steps above to generate the first four terms
The first term is
. In short, the first term is 2
The second term is...
So the second term is -6
The third term is...
The third term is 26
Finally, the fourth term is...
The fourth term is -102.
Answer:
The position at time t is
Step-by-step explanation:
From the question we are told that
The acceleration is
The velocity at t = 0 is
The position at time t = 0 is
Generally acceleration is mathematically represented as
=>
=>
integrating both sides we have
=>
Now at t = 0
=>
So
Generally the position of the body is mathematically represented as
So
So
Now at t = 0
=>
So
2(11)+2x=38
22+2x=38
2x=38-22
2x=16
x=16/2
x=8
The width of the rectangle is 8 feet.