Answer:
v = 9/2 + sqrt(61)/2 or v = 9/2 - sqrt(61)/2
Step-by-step explanation:
Solve for v over the real numbers:
-v^2 + 9 v - 5 = 0
Multiply both sides by -1:
v^2 - 9 v + 5 = 0
Subtract 5 from both sides:
v^2 - 9 v = -5
Add 81/4 to both sides:
v^2 - 9 v + 81/4 = 61/4
Write the left hand side as a square:
(v - 9/2)^2 = 61/4
Take the square root of both sides:
v - 9/2 = sqrt(61)/2 or v - 9/2 = -sqrt(61)/2
Add 9/2 to both sides:
v = 9/2 + sqrt(61)/2 or v - 9/2 = -sqrt(61)/2
Add 9/2 to both sides:
Answer: v = 9/2 + sqrt(61)/2 or v = 9/2 - sqrt(61)/2
Answers:
Choice C) 1.5 + AB = 3.7
AB = 2.2 cm
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Explanation:
Segment AC can be cut into two smaller pieces AB and BC. The piece AB is of unknown length for now, while BC is 1.5 units long.
The expression AB+1.5 or 1.5+AB represents us adding those two smaller pieces together. Doing so will lead to the length of AC.
Therefore, 1.5 + AB = 3.7 is one valid equation to set up.
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To solve that equation, we subtract 1.5 from both sides to undo the addition operation done to AB.
1.5 + AB = 3.7
AB = 3.7 - 1.5
AB = 2.2
Notice how,
1.5 + AB = 1.5 + 2.2 = 3.7
to help confirm our answer.
Answer:
2/3 ≈ 0.666667
5/11 ≈ 0.454545
5/6 ≈ 0.833333
6/7 ≈ 0.857143
Step-by-step explanation:
Easiest and fastest way to do this is to use a calculator to find your decimals and then approximate.
Answer:
2.7 hours
Step-by-step explanation:
10,000/60=166/60=1.7
