Answer:
b = 5√3
b = -5√3
Step-by-step explanation:
We have
Keep in mind, the root of a function corresponds to the value of x at which the function's output is zero.
In this case
The roots of the equation are the b values for which f(b) equals zero.
Thus
For f(b)=0
Take the square root of both sides
Now simplify
and
So we find that
b = 5√3
b = -5√3
Answer:
For a clearer understanding, refer to the attached figure:
Step-by-step breakdown:
1. According to the unique line postulate, only one line segment can be created: BC
This is because a single line can only connect two distinct points.
2. Utilizing the definition of reflection, reflect BC across l.
To identify the line segment reflected over l, we will apply the reflection definition.
3. Based on the reflection definition, C remains as its own image and A represents the image of B.
The reflection definition states that a figure is transformed into a mirror image around a line. Thus, CD serves as the perpendicular bisector of AB, which makes A and B equidistant from D, producing their mirror images.
4. Because reflections maintain length, we find that AC = BC
In a reflection, the figure transforms to create a mirror image, ensuring the lengths remain unchanged.
