Answer:
Step-by-step explanation:
a² - b² = (a + b) (a - b)
1)x² - 36 = x² - 6² = (x + 6)(x-6)
2) 4x² - 16 = 4x² - 4*4 = 4(x² - 4)
= 4(x² -2²)
= 4(x + 4)(x-4)
3) 9x² -1 = 3²x² - 1² = (3x)² - 1²
=(3x + 1)(3x - 1)
If
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
then m, the slope, is 5.5. We need to find b. When x = 11, y = 140, so:
![(140) = (5.5)(11) + b \\ 140 = 60.5 + b \\ b = 79.5](https://tex.z-dn.net/?f=%28140%29%20%3D%20%285.5%29%2811%29%20%2B%20b%20%5C%5C%20140%20%3D%2060.5%20%2B%20b%20%5C%5C%20b%20%3D%2079.5)
We plug in the values for x, y, and m. Then, we simplify and subtract 60.5 from both sides.
This makes the equation
![y = 5.5x + 79.5](https://tex.z-dn.net/?f=y%20%3D%205.5x%20%2B%2079.5)
Or, in the context of this equation,
Answer:
![x^2 + 2xy + y^2](https://tex.z-dn.net/?f=x%5E2%20%2B%202xy%20%2B%20y%5E2)
Step-by-step explanation:
![(x+y)^2 = (x+y)(x+y)](https://tex.z-dn.net/?f=%28x%2By%29%5E2%20%3D%20%28x%2By%29%28x%2By%29)
F.O.I.L. the equation (first, outer, inner, last)
![(x+y)(x+y) = (x*x) + (x*y) + (x*y) + (y*y)](https://tex.z-dn.net/?f=%28x%2By%29%28x%2By%29%20%3D%20%28x%2Ax%29%20%2B%20%28x%2Ay%29%20%2B%20%28x%2Ay%29%20%2B%20%28y%2Ay%29)
![(x*x) + (x*y) + (x*y) + (y*y) = x^2 + xy +xy+y^2 = x^2 +2xy+y^2](https://tex.z-dn.net/?f=%28x%2Ax%29%20%2B%20%28x%2Ay%29%20%2B%20%28x%2Ay%29%20%2B%20%28y%2Ay%29%20%3D%20x%5E2%20%2B%20xy%20%2Bxy%2By%5E2%20%3D%20x%5E2%20%2B2xy%2By%5E2)
Answer:
30.96
Step-by-step explanation:
First you must find the diameter of the circle which is 12
Then you must use the formula A=πr²
So it should be = to A = 3.14 ×144 which is 30.96
I think it might be, 29.58 but I'm not entirely sure.