Find the domain and range of the equation:b(x)=|x-3|
1 answer:
Domain: Set of all real numbers.
The domain in interval notation is (-infinity, infinity)
The reason why the domain is the set of all real numbers is because we can pick any number we want for x, without having to worry about division by zero errors or taking the square root of negative values. There are no restrictions for x.
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Range: Set of all non-negative numbers.
As an inequality, you would write (y is greater than or equal to 0)
In interval notation, the range is written as [0, infinity)
The absolute value result cannot be negative. The smallest y = |x| can get is y = 0. This applies to y = |x-3| as well. The use of square brackets tells the reader "include y = 0 as part of the range". You always use curved parenthesis for infinity because you can never actually reach infinity.
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Answer:
Option D is correct.
The measure of
Step-by-step explanation:
is isosceles and
and
are base angles.
Isosceles Triangle:
A triangle with two equal sides, and two congruent base angles that means the angles are equal
By the definition, the base angles are equal i.e,
Since, YZ bisects
Angle Bisector theorem: An angle bisector is a line or ray that divides an angle into two equal angles
then, or
Substitute the value of ;
The sum of measures of these three angles of triangle WXY is equal to the 180 degree.
In triangle WXY we have;
Substitute the value of and
in above formula:
or
Simplify:
Combine like terms ;
or
Simplify;
Substitute the value of x in ;
Therefore, the measure of