Let n be the amount of time it takes for them to shampoo the carpet together. Then:
1/3+1/6=1/n
2n+n=6
3n=6
n=2 hours to shampoo the carpet together
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Answer:
The length of segment TR with T(-4,5) and R(2, -1) is 8.49
Step-by-step explanation:
We need to find the length of segment TR with T(-4,5) and R(2, -1)
The length of segment can be found using distance formula.
The distance formula is: 
Putting values and finding length
We have: 
We found Distance = 8.49
So, The length of segment TR with T(-4,5) and R(2, -1) is 8.49.
I believe c and d are correct
Answer:
x >-11
Explanation:
2x+7>-15
Subtract 7 from both sides
2x >-15-7
Simplify-15-7 to -22
2x >-22
Divide both sides by 2
22
x > - ___
2
Simplify 22/2 to 11
x >-11
Answer:
The equation of the perpendicular line would be y = -5/2x + 7
Step-by-step explanation:
In order to find this line, we must first find the slope of the original line. We do this by solving for y.
2x - 5y = 6
-5y = -2x + 6
y = 2/5x - 6/5
This shows us a slope of 2/5. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negate 2/5 to get -2/5 and then we flip it to get -5/2. Now that we have this, we can use the slope and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 2 = -5/2(x - 2)
y - 2 = -5/2x + 5
y = -5/2x + 7
