Answer:
18 15/16 ft
Step-by-step explanation:
what is the request here ?
to do the additions and bring all to one summary result of ft ?
I base my answer on this assumption.
10 1/16 = 161/16
8 3/8 = 67/8
1/2 = 1/2
note let's bring everything to 16th, so that we can actually add them.
161/16
67/8 = 134/16
1/2 = 8/16
161/16 + 134/16 + 8/16 = 303/16 = 18 15/16
cross check :
add all whole numbers first, and then add the remaining fractions too (need to bring them to 16th too).
10 + 8 = 18
1/16 + 3/8 + 1/2 = 1/16 + 6/16 + 8/16 = 15/16
together, 18 15/16
yeah, it is the same.
Answer:
See below
Step-by-step explanation:
The initial ordered-pairs are 
We have a rotation of 90 degrees counterclockwise with respect to origin
Note. Previously the points were
After the rotation, we have
Thus, 
Then shifting horizontally to the right 2 units, we get ΔA'B'C'
Thus,
Answer:
x=133 y=-25
Step-by-step explanation:
I'll do both ways for you. So let's start with Substitution:
With the sub method, you have to set both equations equal to each other by setting them equal to the same variable. Since there is no coefficient in front of both x's in both equations, that variable will be easiest to solve for.
x + 2y = 83 & x + 5y = 8
Solve for x.
x = 83 - 2y & x = 8 - 5y
Once you have solved for x, set each equation equal to one another and solve for y now.
83 - 2y = 8 - 5y
Isolate all variables to one side:
83 = 8 - 3y
Now subtract the 8 to fully isolate the y variable:
75 = -3y
Divide by -3:
-25 = y Now that you have your first variable, plug it into one of the original equations and solve for x.
x + 2(-25) = 83
x - 50 = 83
x = 133
Now for the Elimination method. For this method you need to get rid of a variable by either subtracting/adding each equation together. Again, since you can subtract and x from both equations, you will be left with only the y variable to solve:
Put each equation on top of one another and subtract:
x + 2y = 83
- (x + 5y = 8)
The x's will cancel out:
(x - x) + (2y - 5y) = (83 - 8)
Simplify:
-3y = 75
Solve for y
y = -25
Then, plug y = -25 into one of the original equations:
x + 5(-25) = 8
Solve for x:
x - 125 = 8
x = 133
Hope this helps!
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(t^2+1)^100
USE CHAIN RULE
Outside first (using power rule)
100*(t^2+1)^99 * derivative of the inside
100(t^2+1)^99 * d(t^2+1)
100(t^2+1)^99 * 2t
200t(t^2+1)^99
