Answer:
The vertical asymptote of a function secant are determined by the points that are not in the domain.
Step-by-step explanation:
The domain of a function is the set of x values for which the function is defined.
Secant function is not defined at
It means we cannot include these points in the domain.
At these points, we must have a vertical line which do not touch the graph. These lines are called "Vertical asymptotes"
Vertical asymptotes are not included in the domain of the function.
Hence, the correct word should be "Asymptote"
The vertical asymptote of a function secant are determined by the points that are not in the domain.
(not on a graph do it using algebra)
no jokes you will be deleted
To solve the equation 3x + 1 algebraically, subtract 1 from both sides and then divide both sides by 3. The solution is x = -1/3.
To solve the equation 3x + 1 algebraically, you need to isolate the variable x. Let's go step-by-step:
So, the solution to the equation 3x + 1 = 0 is x = -\frac{1}{3}. This means that when you substitute x = -\frac{1}{3} into the equation, both sides will be equal.
#SPJ1
another triangle, follow these steps:
Reflect ADEF across the y-axis to form AD'E'F'.
Translate AD'E'F' 8 units up to form AD"E"F".
Is ADEF the same size and shape as AD"E"F"? Show your
.
.
x
work.
Answer:
To determine if triangles ADEF and AD"E"F" are the same size and shape, we need to compare their corresponding sides and angles. Let's go through the steps and analyze each transformation.
1. Reflecting ADEF across the y-axis:
When we reflect a point across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Applying this reflection to each vertex of triangle ADEF, we get D'(-4, 0), E'(0, 0), and F'(0, -8).
2. Translating AD'E'F' 8 units up:
To translate a point, we add or subtract a constant value to its coordinates. Shifting each vertex of triangle AD'E'F' 8 units up gives us D"( -4, 8), E"(0, 8), and F"(0, 0).
Now let's compare the corresponding sides and angles of triangles ADEF and AD"E"F".
Corresponding Sides:
Side DE in triangle ADEF corresponds to side D'E' in triangle AD'E'F'. Since both sides lie on the x-axis, they have the same length.
Side EF in triangle ADEF corresponds to side E'F' in triangle AD'E'F'. Again, both sides lie on the y-axis, so they have the same length.
Side FD in triangle ADEF corresponds to side F'D' in triangle AD'E'F'. These sides are vertical lines with equal lengths.
Corresponding Angles:
Angle D in triangle ADEF corresponds to angle D' in triangle AD'E'F'. Both angles are right angles (90 degrees).
Angle E in triangle ADEF corresponds to angle E' in triangle AD'E'F'. These angles are also right angles (90 degrees).
Angle F in triangle ADEF corresponds to angle F' in triangle AD'E'F'. Once again, these angles are right angles (90 degrees).
From the above analysis, we can conclude that triangles ADEF and AD"E"F" are indeed the same size and shape. They have corresponding sides of equal length and corresponding angles of equal measure.
In conclusion, triangles ADEF and AD"E"F" are congruent.
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Is there a rule of the function that I have forgotten?
Thanks