6b+2 I think I combined them and that’s what I got
<h3><em>In AP form 2nd term - 1st term = 3rd term - 2nd term
</em></h3><h3><em>b²-a² = c²-b²
</em></h3><h3><em>b²+b² = c²+a²
</em></h3><h3><em>2b² = c²+a²
</em></h3><h3><em>
</em></h3><h3><em>Add 2ab+2ac+2bc on both sides
</em></h3><h3><em>
</em></h3><h3><em>2b²+2ab+2ac+2bc = a²+c²+ac+ac+bc+bc+ab+ab
</em></h3><h3><em>2b²+2ab+2ac+2bc = ac+bc+a²+ab+bc+c²+ab+ac
</em></h3><h3><em>2b²+2ab+2ca+2cb = ca+cb+a²+ab+cb+c²+ab+ac
</em></h3><h3><em>2(ba+b²+ca+cb) = (ca+cb+a²+ab) + (cb+c²+ab+ac)
</em></h3><h3><em>2((ba+b²)+(ca+cb)) = ((ca+cb)+(a²+ab)) + ((cb+c²)+(ab+ac))
</em></h3><h3><em>2(b(a+b)+c(a+b)) = (c(a+b)+a(a+b)) + (c(b+c)+a(b+c)) </em></h3><h3><em>2(b+c)(a+b) = (c+a)(a+b) + (c+a)(b+c)
</em></h3><h3><em>
</em></h3><h3><em>Divide whole by (a+b)(b+c)(c+a)</em></h3><h3><em></em></h3><h3><em>2/c+a = 1/b+c + 1/a+b</em></h3><h3><em>1/c+a + 1/c+a = 1/b+c + 1/a+b</em></h3><h3><em>1/c+a - 1/b+c = 1/a+b - 1/c+a</em></h3><h3><em></em></h3><h3><em>2nd term - 1st term = 3rd term - 2nd term
</em></h3><h3><em>Thus 1/b+c, 1/c+a, 1/a+b are in AP.</em></h3><h3><em></em></h3><h3><em>HOPE IT HELPS !!!</em></h3><h3><em>THANK YOU !!!</em></h3>
Answer:
E: x = 13
F: x = 1.5 or 3/2
Step-by-step explanation:
This is for E:
x + 2/3 = 5
All you do is first multiply 5 * 3
and you will get 15
x + 2 = 15
Then you subtract from 15
15 - 2 = 13
So x = 13
This is for F:
10(x - 1) = 5
So all you do is distribute the 100 with x -1
10 * x = 100x
10 * -1 = 100
10x - 10 = 5
Then you add 10 to 15 because the number is -10
5 + 10 = 15
10x = 15
Now you divide by 10 on both sides
10x/10 = 15/10
10x/10 = x
15/10 = 3/2
So the answer for F is 3/2 or 1.5
The room is a square, meaning all four sides are 20ft long.
Because we know all the side lengths, we can find the perimeter of the square by adding the side lengths together.
(20 + 20 + 20 + 20) = 80
Now that we know the perimeter, we have to match this number to the feet of crepe paper.
We can find this by dividing the total length needed by the length a single roll provides.
80 / 8 = 10
Therefore, we know that Katie will have to buy a minimum of 10 rolls if she wants to cover the entire perimeter of the room.
Hope this helps! :)
Since they are vertical angles, they are equal.
5x - 53 = 3x - 7
2x = 46
x = 23
A
