<u><em>Answer:</em></u>
The slope of the line that passes through (-1, -7) and (3, 5) is 3
<u><em>Explanation:</em></u>
<u>The slope of the line is calculated using the following rule:</u>
<u>We are given the following points:</u>
(3 , 5) representing (x₁ , y₁)
(-1 , -7) representing (x₂ , y₂)
To get the slope, we will simply substitute with the givens in the above equation
<u>This is done as follows:</u>
You haven't attached the table for the second part. However, follow the same procedure. Pick two points from the table, substitute with them in the above equation and you'll get the slope
Hope this helps :)
Answer:
The first 5 terms of the sequence are 2, 4, 8, 16 and 32.
Step-by-step explanation:
Given:
= 2
= 2
-----------------(i)
To get the first 5 terms of the sequence, substitute in turn, n = 1, 2, 3, 4, 5 into equation (i).
The first term (when n = 1) has been given as:
= 2
The second term (when n = 2) is given as:
= 2
= 2 (but = 2 )
=> = 2(2)
=> = 4
The third term (when n = 3) is given as:
= 2
= 2 (but = 4 )
=> = 2(4)
=> = 8
The fourth term (when n = 4) is given as:
= 2
= 2 (but = 8 )
=> = 2(8)
=> = 16
The fifth term (when n = 5) is given as:
= 2
= 2 (but = 16 )
=> = 2(16)
=> = 32
Therefore, the first 5 terms of the sequence are 2, 4, 8, 16 and 32.
First find the length of all the sides.
Then divide that polygon (if it has more than 4 sides or an irregular quadrilateral) into triangles.
Find the area of triangles so formed by Heron's formula.
Than sum the area of all the triangles. The sum will be the area of the polygon.
It's not factored with rational numbers the polynomial is not factorable with rational numbers
