The algebraic expression for the word phrase 'the quotient of r and 12' is r/12. This represents a division operation where r is divided by 12.
The phrase 'the quotient of r and 12' can be translated into an algebraic expression as r/12. In this expression, 'quotient' refers to the mathematical operation of division. Hence, the expression means that the variable 'r' is divided by '12'.
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A) 4 and 5
B) g and 7
C) 7 and 8
D) 8 and 9
b. 9
c. 11
d. 13
Answer: It is D. 13 on edge-nuity!
Answer: The required equation of the circle is
Step-by-step explanation: We are given to find the equation of the circle with center (-2, -5) and radius of length 1 unit.
We know that
the standard equation of a circle with center (h, k) and radius of length r units is given by
For the given circle, we have
center, (h, k) = (-2, -5) and radius, r = 1 units.
Therefore, from equation (i), we get
Thus, the required equation of the circle is
Answer:
2
Step-by-step explanation:
Convert mixed fraction to improper fraction
÷ ÷
Answer:
2
Step-by-step explanation:
Simplify the following:
(-(2 + 2/3))/(-(1 + 1/3))
(-(2 + 2/3))/(-(1 + 1/3)) = (-1)/(-1)×(2 + 2/3)/(1 + 1/3) = (2 + 2/3)/(1 + 1/3):
(2 + 2/3)/(1 + 1/3)
Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:
(2 + 2/3)/(3/3 + 1/3)
3/3 + 1/3 = (3 + 1)/3:
(2 + 2/3)/((3 + 1)/3)
3 + 1 = 4:
(2 + 2/3)/(4/3)
Put 2 + 2/3 over the common denominator 3. 2 + 2/3 = (3×2)/3 + 2/3:
((3×2)/3 + 2/3)/(4/3)
3×2 = 6:
(6/3 + 2/3)/(4/3)
6/3 + 2/3 = (6 + 2)/3:
((6 + 2)/3)/(4/3)
6 + 2 = 8:
(8/3)/(4/3)
Multiply the numerator by the reciprocal of the denominator, (8/3)/(4/3) = 8/3×3/4:
(8×3)/(3×4)
(8×3)/(3×4) = 3/3×8/4 = 8/4:
8/4
The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:
Answer: 2