The answer is x= - 11/ 16
You can check this by plugging in x for -11/16
To find the distance between her home and her latest position:
According to the question, the diagram is,
Consider the right triangle,
AB=120 km
BC=50 km
To find AC:
Using Pythagoras theorem,

Hence, the distance between the new position and her home is 130 km.
Option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
The question is incomplete.
The question is:
What can be concluded about the sequences 19, 15, 11, 7, . . . represented on the graph? Check all that apply.
- The common difference of the sequence is the same as the slope of the graph.
- The slope of the graph is –4.
- The next term in the sequence is represented by point (4, 3).
- f(x) = –4x + 19 represents the sequence.
- An infinite number of points can be determined to follow this sequence.
The graph is attached to the picture please refer to the graph.
We have an arithmetic sequence:
19, 15, 11, 7,...
The first term is:
a = 19
Common difference d = 15-19 = -4
The nth term:
a(n) = 19 + (n-1)(-4)
a(n) = 19 -4n + 4
a(n) = -4n + 23
We can write above expression as:
f(x) = -4x + 23
Slope of the equation = -4
The correct options are:
- The common difference of the sequence is the same as the slope of the graph.
- The slope of the graph is –4.
Thus, an option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.
Learn more about the sequence here:
brainly.com/question/21961097
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Answer:
x⁴ + 2 x² + 1
Step-by-step explanation:
given solution of the polynomial
i, −i, 1, −1.
equation of the polynomial will be equal to
=(x - i)(x + i)(x - 1)(x + 1)
= (x² + i x - i x - i²)(x² + x - x + 1)
=(x² - (-1))(x² + 1 )
= (x² + 1)(x² + 1)
= x⁴ + x² + x² + 1
= x⁴ + 2 x² + 1
hence, the required polynomial equation is x⁴ + 2 x² + 1