A Hiker Buys A 3-gallon Jug Of Water Before Going Camping . She Uses The Water To Fill Several 1-Quart Water Bottles . How Many
2 answers:
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Step 1: Given
Step 2: Distributive Property
Step 3: Addition Property of Equality
Step 4: Division Property of Equality
Step-by-step explanation:
We need to match the reason with the correct step in the equation.
Equation:
Given:
Applying Distributive property a(b+c)=ab+ac
Now, Applying addition property of equality:
Adding +4x on both sides
Now, Applying Division property of Equality:
Divide both sides by 6:
So, Answer will be:
Step 1: Given
Step 2: Distributive Property
Step 3: Addition Property of Equality
Step 4: Division Property of Equality
Keywords: Solving Equations
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First, start by graphing the given region.
You should get a parabolic shape with min at (0,6) and end points intersecting with y=7.
When you rotate this around y=5, it will look like a vertical doughnut.
The cross-section of a doughnut is circular and looks like a washer.
Hence, we will use the 'washer method'
R is radius of outer ring from center which is y=5. The max value of region is y=7, giving a distance of 2 for our radius.
R = 2
'r' is radius of inner ring, this is point along curve f(x)=5+sec(x).
The distance from y=5 would be f(x) - 5.
r = sec(x)
You should get a parabolic shape with min at (0,6) and end points intersecting with y=7.
When you rotate this around y=5, it will look like a vertical doughnut.
The cross-section of a doughnut is circular and looks like a washer.
Hence, we will use the 'washer method'
R is radius of outer ring from center which is y=5. The max value of region is y=7, giving a distance of 2 for our radius.
R = 2
'r' is radius of inner ring, this is point along curve f(x)=5+sec(x).
The distance from y=5 would be f(x) - 5.
r = sec(x)