Which equation demonstrates the distributive property? A) 36 + 8 = 44 B)36 x 8 = 8 x 36 C) (9 + 2)4 = 4(9 + 2) D) 36 + 8 = 4(9 +
2 answers:
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Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
y = 0.5x
when x = 12
y = 0.5 · (12)
y = 6
when x = 0
y = 0.5(0)
y = 0
when x = 8
y = 0.5(8)
y = 4
when x = 12
y = 0.5(12)
y = 6
Thus, the table is completed such as:
x y
0 0
8 4
12 6
Therefore, the ordered pairs that complete the equation y = 0.5 x are:
- (0, 0)
- (8, 4)
- (12, 6)
The graph of the equation is attached below.
Answer:
Perimeter: 33.7 mm
Area: 54 mm
Step-by-step explanation:
If you do 12 + 9.7 + 12 you will get the perimeter, and to get the area you would use the formula A = x base x height. Since the base is 12 and the height is 9, you would do 12 x 9 x 0.5 to get 54 mm for the area of the triangle.
Answer:
<em>Cathy was born in 1980 and she was 18 years old in 1998</em>
Step-by-step explanation:
<u>Equations</u>
This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.
Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as
In 1998, Cathy's age was
And it must be equal to the sum of the four digits
Rearranging
We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus
Operating
If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]
c=8, d=0
Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18