Answer:
So the first term is two so you start on the second term. 15,28,41
Answer: 17
Step-by-step explanation:
9-11-13-15-(17) blue dot
It goes up by two
Answer:
![a^3 + b^3 = -4](https://tex.z-dn.net/?f=a%5E3%20%2B%20b%5E3%20%3D%20-4)
Step-by-step explanation:
Given
![a + b = 3ab = 2](https://tex.z-dn.net/?f=a%20%2B%20b%20%3D%203ab%20%3D%202)
Required
Solve: ![a^3 + b^3](https://tex.z-dn.net/?f=a%5E3%20%2B%20b%5E3)
Rewrite the expression as:
![a^3 + b^3 = a^3 - a^2b +ab^2 + a^2b - ab^2 + b^3](https://tex.z-dn.net/?f=a%5E3%20%2B%20b%5E3%20%3D%20a%5E3%20-%20a%5E2b%20%2Bab%5E2%20%2B%20a%5E2b%20-%20ab%5E2%20%2B%20b%5E3)
Factorize
![a^3 + b^3 = a(a^2 - ab +b^2) + b(a^2 - ab + b^2)](https://tex.z-dn.net/?f=a%5E3%20%2B%20b%5E3%20%3D%20a%28a%5E2%20-%20ab%20%2Bb%5E2%29%20%2B%20b%28a%5E2%20-%20ab%20%2B%20b%5E2%29)
![a^3 + b^3 = (a + b)(a^2 - ab + b^2)](https://tex.z-dn.net/?f=a%5E3%20%2B%20b%5E3%20%3D%20%28a%20%2B%20b%29%28a%5E2%20-%20ab%20%2B%20b%5E2%29)
Rewrite as:
![a^3 + b^3 = (a + b)(a^2 + b^2- ab)](https://tex.z-dn.net/?f=a%5E3%20%2B%20b%5E3%20%3D%20%28a%20%2B%20b%29%28a%5E2%20%20%2B%20b%5E2-%20ab%29)
![a^3 + b^3 = (a + b)(a^2 + b^2+2ab - 3ab)](https://tex.z-dn.net/?f=a%5E3%20%2B%20b%5E3%20%3D%20%28a%20%2B%20b%29%28a%5E2%20%20%2B%20b%5E2%2B2ab%20-%203ab%29)
Factorize
![a^3 + b^3 = (a + b)((a + b)^2 - 3ab)](https://tex.z-dn.net/?f=a%5E3%20%2B%20b%5E3%20%3D%20%28a%20%2B%20b%29%28%28a%20%20%2B%20b%29%5E2%20-%203ab%29)
Open brackets
![a^3 + b^3 = (a + b)^3 - 3ab(a + b)](https://tex.z-dn.net/?f=a%5E3%20%2B%20b%5E3%20%3D%20%28a%20%20%2B%20b%29%5E3%20-%203ab%28a%20%20%2B%20b%29)
Given that:
![a + b = 3ab = 2](https://tex.z-dn.net/?f=a%20%2B%20b%20%3D%203ab%20%3D%202)
This means that:
and ![3ab = 2](https://tex.z-dn.net/?f=3ab%20%3D%202)
So, we have:
![a^3 + b^3 = (a + b)^3 - 3ab(a + b)](https://tex.z-dn.net/?f=a%5E3%20%2B%20b%5E3%20%3D%20%28a%20%20%2B%20b%29%5E3%20-%203ab%28a%20%20%2B%20b%29)
![a^3 + b^3 = 2^3 - 3 * 2 * 2](https://tex.z-dn.net/?f=a%5E3%20%2B%20b%5E3%20%3D%202%5E3%20-%203%20%2A%202%20%2A%202)
![a^3 + b^3 = 8 - 12](https://tex.z-dn.net/?f=a%5E3%20%2B%20b%5E3%20%3D%208%20-%2012)
![a^3 + b^3 = -4](https://tex.z-dn.net/?f=a%5E3%20%2B%20b%5E3%20%3D%20-4)
Answer:
x² = 60
x = √60
<u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u><u>7</u><u>4</u><u>5</u>
Step-by-step explanation:
•°•°•°•°•°
The slope is m=6 and length of line is 3.5√37.
<h3>What is slope?</h3>
The slope of a line is a measure of its steepness.
Given:
endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5
slope= 8-2/3-2= 6
Now, using distance formula,
d= √(3-2)² + (8-2)²
d= √1+ 36
d= √37
As, Line AB is dilated by a scale factor of 3.5.
So, new d= √37*3.5
new d= 3.5√37
Learn more about this concept here:
brainly.com/question/1426855
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