For the given pair of equations, give the slopes of the lines, and then determine whether the two lines are parallel, perpendicu
lar, or neither.
10x - 3y = 3
3x + 10y = 30
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of 10x - 3y = 3 is
(Type an integer or a simplified fraction.)
O B. The slope of 10x - 3y = 3 is undefined.
10x - 3y = 3
3x + 10y = 30
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of 10x - 3y = 3 is
(Type an integer or a simplified fraction.)
O B. The slope of 10x - 3y = 3 is undefined.
1 answer:
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Answer:
Step-by-step explanation:
A direct variation equation has the following format:
Where k is a constant.
We know that y is 12 when x is -2. Thus, substitute:
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So, our direct variation equations is:
To find what x is when y equals -6, substitute in -6 for y:
Divide both sides by -6:
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Answer:
This translates to "y is any real number such that it is 0 or larger".
The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.
So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.
In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.
Answer:
Step-by-step explanation:
