Answer:
Solving the expression
we get: 
Step-by-step explanation:
We need to solve the expression: 
This is a quadratic expression and it can be solved using quadratic formula
Solving:

we can write it as:

The quadratic formula is: 
where a = 3, b = -2 and c= 1
Putting values and solving:

So, solving the expression
we get: 
If you want the answer in point slope form then,
y-y1 = m(x-x1)
y-c = m(x-a)
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If you want the answer in slope intercept form, then solve for y
y-c = m(x-a)
y-c = mx-ma
y-c+c = mx-ma+c
y = mx-ma+c
y = mx+c-ma
y = mx+(c-ma)
For this answer in slope intercept form the slope is m and the y intercept is c-ma
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If you want the answer in standard form, then get the variable terms to the left side. Have the constant terms on the right side.
y = mx+c-ma
y-mx = mx+c-ma-mx
-mx+y = c-ma
Optionally you can multiply both sides by -1 to get mx-y = -c+ma but it will depend on your book if this step is carried out or not.
The answer is the third answer choice, I and II only.
This is because both of those motions are rigid since they are just reflections and III is not a rigid motion since it is a dilation, the second triangle is bigger than the first.
Hope this helps!
Answer:10 gallons are needed to paint 15,000 square feet of wall.
Step-by-step explanation:
3,000/2=1,500
15,000/1,500=10 gallons
I would say (I am abbreviating square root to sqrt)
1. 4 sqrt(8488) = 4 sqrt(2x2x2122) = 8 sqrt(2122)
2. 3 sqrt(6936) = 3 sqrt(6x34x34) = 102 sqrt (6)
3. 2 sqrt(8648) = 2 sqrt(2x2x2162) = 4 sqrt(2162)