Determine whether y varies directly with x. If so, find the constant of variation and write the equation.
1 answer:
Answer: B. No
Step-by-step explanation:
Direct variation has the following form:
Where the constant of variation is "k".
By definition, in direct variation, when the variable "x" changes, tha variable "y" changes in proportion to the variable "x".
As you can observe in the table, when the value of the variable "x" increase, the values of the variable "y" decrease, therefore we can conclude that it is not a direct variation.
Then the answer is the option B.
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Answer: left 7 units, up 4 units, and vertical compression
Step-by-step explanation:
Given
The function is
First shift it to the left by 7 units, so the function becomes
Now compress it to make it one-third
Now, sift the graph upward by 4 units
Thus , the conditions are left 7 units, up 4 units, and vertical compression.
Answer:
Net Area = 168
Step-by-step explanation:
See attachment for complete question
I'll make reference to the attachment, when needed.
The shapes that make up the net are labelled 1 to 5.
So, to calculate the surface area of the net, we simply calculate the surface area of each label.
Label 1: Rectangle
Area = Length * Width
Area = 10 * 5
Area = 50
Label 2: Rectangle
Area = Length * Width
Area = 8 * 5
Area = 40
Label 3: Rectangle
Area = Length * Width
Area = 6 * 5
Area = 30
Label 4: Triangle
Area = ½Base * Height
Base = 6 and Height = 8
So:
Area = ½ * 6 * 8
Area = 24
Label 5: Triangle
Area = ½Base * Height
Base = 6 and Height = 8
So:
Area = ½ * 6 * 8
Area = 24
So, the net area is the summation of the calculated areas of label 1 to 5
Net Area = 50 + 40 + 30 + 24 + 24
Net Area = 168
