The diameter of a circle is 20 centimeters. What is the length of its radius?
2 answers:
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Answer:
a = -1
b = -9
c = 9
d = 3
e = 3
f = 2
g = 3/2
Step-by-step explanation:
* Lets explain how to solve the problem
∵ are rational fractions
- To add or subtract the rational fractions they must have same
denominator
∵ 6 - 2x must be written 2x - 6, take (-1) as a common factor from 6 - 2x
∴ - 1(-6 + 2x) = - 1(2x - 6)
∴
∴ a = -1
∵ 9 ÷ -1 = -9
∴ =
∴ b = -9
∵ The denominators of the two fractions are 2x - 6
∴ We can add them by adding their numerator
∵ 3x + -9 = 3x - 9
∴ =
∴ c = 9
∵ 3x - 9 has a common factor 3
∴ 3x - 9 = 3(x - 3)
∵ 2x - 6 has common factor 2
∴ 2x - 6 = 2(x - 3)
∴ =
∴ d = 3 , e = 3 , f = 2
- The fraction has same factor (x - 3) up and down then we can cancel
them together
∴ =
∴ g = 3/2
2(x + 4) =
x + 4 which is the second option is the equivalent expression.
Explanation:
First, we need to calculate the value of two-fifths of x. It means 2 portions out of the five portions of x which equates to x.
Now we calculate the values of the two expresssions on the LHS.
1) 2 (two-fifths x + 2) = 2 (x + 2) =
x + 4.
2) (two-fifths x + 4) = 2(x + 4) =
x + 8.
Now we determine values of the four expressions on the RHS.
1) Two and two-fifths x + 1 = 2x + 1
2) Four-fifths x + 4 = x + 4
3) Four-fifths x + 2 = x + 2
4) Two and two-fifths x + 8 = 2x + 8.
Out of the various LHS and RHS values, the LHS value and
RHS value is the same. So option 2 is the answer.