Answer: Choice C)
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Work Shown:
Part 1
Part 2
Part 3
This shows the answer is choice C.
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Explanation:
There are a lot of steps, so I broke things up into 3 sections or parts. The idea I'm applying is if the denominator is of the form , then multiplying top and bottom by will rationalize the denominator. This is due to the difference of squares rule (step 3 of part 1). The following step shows squaring a square root has the two cancel out.
From that point, I simplified each square root and factored to cancel out a pair of '4's.
To expand out , we can use either the FOIL method, the box method, or the distribution property. I used the distribution property.
Answer: 45 ft
Step-by-step explanation:
and 15ft add 10ft to get 25ft
then subtract 70 from 25
Perfect square
factor and find pairs to make perfect square
example
36=2*2*3*3=(2*2)*(3*3)
we need paris
factor 112
112=2*2*2*2*7=(2*2)*(2*2)*(7)
we need a pair for 7
so we just need to multiply it by 7
112*7=784
784=2*2*2*2*7*7=(2*2)(2*2)(7*7)=28^2
answer is 7
Answer:
Both the sides are equal to 20 inches and the base is equal to 24 inches.
b=s3= s1+4----equation 1
s1=s2----equation 2
Perimeter of the triangle = s1+s2+s3--------equation 3
Step-by-step explanation:
Let the sides be denoted by s1 and s2 . Then the base is denoted by b=s3= s1+4----equation 1
According to the statement s1=s2----equation 2
Perimeter of the triangle = s1+s2+s3--------equation 3
64= s1+s2+ s1+4
64 = 3s1+4
60= 3s1
20 = s1
Both the sides are equal to 20 inches and the base is equal to 24 inches.