Answer:
Number & Cost($)
Feet & Yards
Step-by-step explanation:
Number & Cost:
(2, 38), (4, 76) <====== pick any two point to find constant
constant = (y₂ - y₁) / (x₂ - x₁)
= (76 - 38) / (4 - 2)
= 38 / 2
= 19 <====== k the constant
y = kx
y = 19x
point (2, 38): 38 = 19(2) ===> 38 = 38
point (4, 76): 76 = 19(4) ===> 76 = 76
point (7, 133): 133 = 19(7) ===> 133 = 133
point (9, 171): 171 = 19(9) ===> 171 = 171
Feet & Yards:
(27, 9), (75, 25) <====== pick any two point to find constant
constant = (y₂ - y₁) / (x₂ - x₁)
= (25 - 9) / (75 - 27)
= 16 / 48
= 1/3 <====== k the constant
y = kx
y = 1/3x
point (3, 1): 1 = 1/3(3) ===> 1 = 1
point (12, 4): 4 = 1/3(12) ===> 4 = 4
point (27, 9): 9 = 1/3(27) ===> 9 = 9
point (75, 25): 25 = 1/3(75) ===> 25 = 25
Answer:
Step-by-step explanation:
In the map the scale is
So
In miles
The galaxies are apart.
A. 42.5 centimeters
B. 65 centimeters
C. 9.2 centimeters
D. 35 centimeters
D.
35 centimeters
The correct answer is:
Option: A , Option: B , Option: C , Option: D
For a set to be closed under multiplication means if two elements are taken from that set then their multiplication must also belong to the same set.
A)
The product of a perfect cube and a perfect cube.
Let a be a perfect cube of "m"
and b be a perfect cube of "n"
i.e.
Hence,
i.e.
Hence, this set if closed under multiplication.
B)
The product of 0 and 0.
when we take the product of 0 and 0 then the resultant is also zero.
Hence, this set is also closed under multiplication.
C)
The product of a whole number and a whole number.
When we multiply a whole number to a whole number then the product is again a whole number.
This set is also closed under multiplication.
D)
The product of a perfect square and a perfect square.
Let us take two elements of the set as x and y
i.e.
and
Hence,
i.e.
Hence, the set is closed under multiplication.