6<span>√2 is already in it's simplest form as a radical.
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Answer:
8b + 27 ≤ - 29
Step-by-step explanation:
Sum of a number can be written as x or in this case as b because it is an unknown number.
b is multipled by 8 so 8b
"and 27" indicates an addition so therefore, 8b + 27
"at most -29" This is a little bit tricky but ultimately it means 8b + 27 cannot be more than -29. Therefore, it must be lesser than.
However there is a line underneath that lesser than sign meaning lesser than or equal to. I believe that "at most" indicates equal to.
Other than the lesser than or equal to sign I'm unsure about, this inequality should be correct.
The equation of the line is 
Explanation:
The given equation is 
<u>Slope:</u>
Since, the equation of the line is perpendicular to the equation , then, the slope is given by
Hence, the slope is
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the point (-2,3) and the slope , in the above formula, we get,
Simplifying, we get,
Therefore, the equation of the line is
Answer:
The prize wheel diameter is 4.00 yards
Step-by-step explanation:
Area (A) = πd^2/4
πd^2 = 4A
d^2 = 4A/π
d (diameter) = √(4A/π)
A = 12.56 square yards, π = 3.142
d = √(4×12.56/3.142) = √15.99 = 4.00 yards
