Answer:
a) 
b) 
Step-by-step explanation:
<u>Part (a)</u>
Given polynomial :
The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable x is:





<u>Part (b)</u>
Given polynomial :
The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable y is:





<h2>Answer:</h2>
11 and 15
<h2>Explanations:</h2>
Given the arithmetic sequence -1, 3, 7 __, __, you are to find the next two terms of the sequence.
The nth term of an arithmetic sequence is given as;

where:
• a is the ,first term
,
• n is the ,number of terms
,
• d is the ,common difference
From the given sequence;
a = -1
d = 3 - (-1) = 7 - 3 = 4
For the fourth term, n = 4;

For the fifth term, n = 5;

Therefore the next two terms of the arithmetic sequence are 11 and 15.
Answer:
6x+3
Step-by-step explanation:
8x+7-2x-4
Combine like terms
8x -2x + 7-4
6x +3
Answer:
The common difference is 0.05.
Step-by-step explanation:
6.1 - 6.05 = 0.05
6.15 - 6.1 = 0.05
Answer:
The coordinates are (-7sqrt(3)/2, 7/2).
Step-by-step explanation:
The rectangular coordinates from polar coordinates is found by:
x = r*cos(theta)
y = r*sin(theta)
Substituting the given values, we get:
x = 7*cos(150 deg) = 7*(-sqrt(3)/2) = -7sqrt(3)/2
y = 7*sin(150 deg) = 7*(1/2) = 7/2
The coordinates are (-7sqrt(3)/2, 7/2).
I hope this helps! :)