Step-by-step explanation:
Hey there!
Given sequences are; 2 , 13 , 24 , 35 , _ , _ .
Now,
Common difference (d) = 2nd term - 1st term. = 13-2 = 11
When we subtract 1st term from 2nd term we find 11 and when we subtract 2nd term from 3rd term we get 11. This means our common difference is 11.
Now, let's find the nrh term of the sequence.
nth term= a1 + (n-1)d ( <em>a1= 1st term, d= common</em> <em>difference</em>)
nth = 2+ (n-1) 11
= 2 + 11n - 11
= 11n - 9
Let's check if we have got nth term correct.
a1= 1*11 - 9 = 2
a2 = 2*11-9 = 13
a3 = 3*11 - 9 = 24
a4 = 4*11-9 = 35
So, we got our nth term.
Let's find remaining sequence.
a5= 5*11 - 9 = 46.
a6= 6*11 - 9 = 57.
Therefore, the remaining terms are : 46 and 57.
<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
A = 12.56 m²
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Geometry</u>
- Area of a Circle: A = πr²
- d = 2r
Step-by-step explanation:
<u>Step 1: Define</u>
d = 4 m
<u>Step 2: Find </u><em><u>r</u></em>
- Substitute: 4 = 2r
- Isolate <em>r</em>: 2 = r
- Rewrite: r = 2 m
<u>Step 3: Find Area</u>
- Substitute: A = π(2)²
- Substitute: A = (3.14)(2)²
- Evaluate: A = (3.14)(4)
- Multiply: A = 12.56 m²
<h3>
Answer: 2</h3>
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Explanation:
If a number only has one factor pair, then that number must be prime. This is because prime numbers only have factors of 1 and the number itself.
For instance, the value 7 is prime because the only factors of this are 1 and 7.
For something like the number 32, it is composite and not prime because it has the factors {1,2,4,8,16,32} and it leads to these three factor pairs: 1*32, 2*16, 4*8. This is one example showing why the answer isn't composite.
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Let's say that p is the unknown prime we want to find. The factors of this are 1 and p. We're told that "one of the factors is twice the other factor", so that must mean p = 2*1 = 2. We can see that 2 is twice that of 1.
Answer:
y+1=3(x-4)
Step-by-step explanation:
Hi there!
We are given a slope of 3 and a point (4,-1).
We need to find the equation of the line in point-slope form
Point-slope form is given as y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point
We have all of the needed information to substitute into the formula
First, let's label the values of everything to avoid any confusion
m=3
x1=4
y1=-1
now substitute into the formula *remember, the formula has SUBTRACTION, and we have a NEGATIVE number, so we'll end up subtracting a negative*
y--1=3(x-4)
simplify
y+1=3(x-4)
That's it!
Hope this helps :)
