To change 5/6 to a fraction with a denominator of 12, you need to do one step. Since 12 is a multiple of 6 (meaning that it can be multiplied by 6 and another number), you multiply 5/6 by 2 to get 10/12. 10/12 is your answer.
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
we have
The parent function is 
This is a vertical parabola open upward with vertex at origin (0,0)
Part 1) Reflection over the x-axis
The rule of the reflection across the x=axis is equal to
(x,y) ------> (x,-y)
so
f(x) -----> g(x)
The function g(x) will be
Part 2) Horizontal shift left 3 units
The rule of the translation is
(x,y) ------> (x-3,-y)
so
f(x) -----> g(x)
The function g(x) will be
Part 3) Vertical shift up 7 units
The rule of the translation is
(x,y) ------> (x,y+7)
so
f(x) -----> g(x)
The function g(x) will be
Answer:
16.24 Units
Step-by-step explanation:
The perimeter of the triangle is the sum of the length of the sides of the triangle. Given the points on the vertices, the length of each side may be found using the formula
Length = √(x2 - x1)^2 + (y2 - y1)^2
Considering the pair (-1, 2), (3, 1), the length of that side
= √(3 -- 1)^2 + (1-2)^2)
= √(16 + 1)
= √17 units
Considering the pair (-1, 2), (7, 2), the length of that side
= √(7 -- 1)^2 + (2-2)^2)
= √(64)
= 8
Considering the pair (3, 1), and (7, 2), the length of that side
= √(7 - 3)^2 + (2 - 1)^2
= √(16 + 1)
= √17
Hence the perimeter of the triangle
= √17 + 8 + √17
= 4.12 + 8 + 4.12
= 16.24 Units
Answer:
64
Step-by-step explanation:
If the mean is 15, the sum of 5 numbers is:
Minimum value for the first four numbers would be:
Then the fifth number is:
- 75 - (1+2+3+4) = 75 - 10 = 65
So the maximum difference is:
