1.)Simplify the expression: 4 times Start Root 18 End Root plus 5 times Start Root 32 End Root
2 answers:
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Answer:
Step-by-step explanation:
Given
Perpendicular to
Pass through
Required
Determine the line equation
First, we need to determine the slope of
An equation is of the form:
Where
In this case:
Next, we determine the slope of the second line.
Since both lines are perpendicular, the second line has a slope of:
Since this line passes through (-2,2); The equation is calculated as thus:
Where
This gives:
Add 2 to both sides
Answers:
Domain is
Range is
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Explanation:
We can replace x with any real number we want. We don't have any restrictions to worry about since there are no division by zero issues for instance. Also, there isn't any issues of things like taking the square root of a negative number.
Therefore, the domain is the set of all real numbers which translates to the interval notation of
This interval notation can be thought of as
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The range on the other hand isn't the set of all real numbers. It might help to graph this parabola (see below). You should see that the highest point occurs at the vertex (5, 4). This then tells us that the largest y can get is y = 4.
In other words, y = 4 or y can be smaller than this.
In symbols, we would say the range is and that translates to the interval notation of
The curved parenthesis always goes with either infinity. The square bracket says "include the endpoint 4 as part of the interval".
