2x+5= -25 and -3m-6= 40 What is the product of x and m?
1 answer:
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Answer:
- Inverse Variation
- Equation:
Step-by-step explanation:
Given
X-> 2 | 4 | 8 | 12
Y-> 6 | 3 | 3/2 | 1
Required
- State the type of variation the table represents
- Determine the equation to model the data
To check for type of variation; we'll make use of trial by error method.
To start with; We'll check for direct variation.
This is done using the following expression;
where k is the constant of variation
Make k the subject of formula
When Y = 6, X= 2
When Y = 3, X = 4
There's no need to check further as both values of k are not equal
To check for inverse variation;
Make k the subject of formula
When Y = 6, X= 2
When Y = 3, X = 4
When Y = 3/2; X = 8
When Y = 1, X = 12
Note that for all values of X and Y, K remains constant;
Hence, the table represents an inverse direction
To determine the equation;
We make use of
Substitute 12 for k
So, the equation becomes
Reorder
Hence, the equation is
The answer is 42.
The question is asking for angle N. We know from the question that angle N is equal to angle E (Don't think about the scale factor because it only applies to the sides. They're just trying to trick you).
To find angle E:
Move numbers to the right side:
Combine like terms:
Divide both sides by 13:
The formula for angle E:
Plug in the 8:
The angle measure of E is 42. So angle N is automatically 42 too.
To solidify, we can try to use the formula which they give us for angle N:
The question is asking for angle N. We know from the question that angle N is equal to angle E (Don't think about the scale factor because it only applies to the sides. They're just trying to trick you).
To find angle E:
Move numbers to the right side:
Combine like terms:
Divide both sides by 13:
The formula for angle E:
Plug in the 8:
The angle measure of E is 42. So angle N is automatically 42 too.
To solidify, we can try to use the formula which they give us for angle N: