Answer:
Step-by-step explanation:
Given
Required
The length of the diagonals
First, calculate the length of AB using:
So, we have:
The diagonal of a square is calculated using:
Where x is the length of each side.
So:
-- approximated
Mrs.Davis has 40 coins she gives her class 30 total then one of her students take 5 extra coins if you multiply your 30 coins in
2 answers:
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<em><u>The recursive formula to find nth term of sequence is:</u></em>
and n = 1, 2, 3, ....
<em><u>Solution:</u></em>
Given a sequence is:
3, 7, 11, 15, 19, 23, 27, 31, 35
<em><u>Let us find the difference between terms</u></em>
7 - 3 = 4
11 - 7 = 4
15 - 11 = 4
19 - 15 = 4
23 - 19 = 4
27 - 23 = 4
31 - 27 = 4
35 - 31 = 4
Thus the difference between terms is constant
Thus the given sequence is arithmetic sequence
An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant
<em><u>The nth term of arithmetic sequence is given by:</u></em>
= the nᵗʰ term in the sequence
= the first term in the sequence
d = the common difference between terms
Here in the given sequence
d = 4
Substitute in above formula,
<em><u>Thus the recursive formula to find nth term of sequence is:</u></em>
and n = 1, 2, 3, ......
Answer:
Explanation:
The polynomial subtraction is:
The ruls to add or subtract polynomials is to add or subtract like terms.
LIke terms are the terms with the same variables each raised to the same power. So, the like terrms for those two polynomilas are:
- -6.7x² and -14.9x²,
- +2.3xy and -3.5xy,
- 5.2 and 7.1
The next step is to use the distributive property: you must distribute the subraction symbol before the parenthesis through every term inside the parenthesis. For this, remember the rule of the signs:
- When you multiply the negative sign before the parenthesis, the sign of each term inside the parenthesis will be changed (negative times positive = negative, negative times negative = positive)
So, the result is:
And that is ordered in descending powers of x (x² has order 2, xy has order 1 on each variable, and the constant terms have order 0).