Answer:
See below.
Step-by-step explanation:
Lets take √72:
Factoring 72 to find perfect squares:
72 = 2*2*2*3*3
The largest perfect square in the above = 2*2*3*3 = 36.
So we can write 72 as 36*2.
√72 = √(36 * 2)
√36 * √2
= 6√2.
One more example:
√18 = √(2*3*3)
= √9*√2
= 3√2.
1 ft= 12 inches
1/2 ft= 6 inches
=3 1/2 feet - 6 inches
substitute # of inches in for 1/2 foot
=3 ft 6 inches - 6 inches
=3 feet
ANSWER: 3 feet
Hope this helps! :)
Answer:
Domain: all real numbers
Range: all real numbers
Step-by-step explanation:
The domain is all x values, and the range is all y values.
<u><em>Domain:</em></u>
The domain is all real numbers except where the slope is undefined (a vertical line). In this case, no number makes the expression undefined, so the domain is:
all real numbers
<u><em>Interval notation:</em></u><em> </em>(-∞,∞)
all negative numbers and positive numbers (all real numbers)
<em><u>Set-Builder Notation:</u></em> {x | x ∈ R
}
<em><u>Range:</u></em>
The range is the set of all valid values. Graph the line and check. Since all values of y are valid, the range is:
all real numbers
<u><em>Interval notation:</em></u><em> </em>(-∞,∞)
all negative numbers and positive numbers (all real numbers)
<em><u>Set-Builder Notation:</u></em> {x | x ∈ R
}
:Done
Answer:
111
Step-by-step explanation:
divide by 2 to find the radius
Answer:
12
Step-by-step explanation:
Multiply both sides of the equation by 8/5.
4x-16=32
Move 16 to the other side
4x=32+16
add numbers on the right side
4x=48
divide both sides by 4
x=12
