Answer:
3rd one
Step-by-step explanation:
Of course bro why wouldn’t we like anime
Answer:
![y = -3x + 6\\](https://tex.z-dn.net/?f=y%20%3D%20-3x%20%2B%206%5C%5C)
Step-by-step explanation:
Find the gradient of the equation
![\frac{Difference in y}{Difference in x} \\\\\frac{6 - - 6}{0 - 4} = \frac{12}{-4} = -3](https://tex.z-dn.net/?f=%5Cfrac%7BDifference%20in%20y%7D%7BDifference%20in%20x%7D%20%5C%5C%5C%5C%5Cfrac%7B6%20-%20-%206%7D%7B0%20-%204%7D%20%20%3D%20%5Cfrac%7B12%7D%7B-4%7D%20%3D%20-3)
The equation will have the gradient -3x
Use the general equation of a line, and substitute the coordinates in to find the y-intercept.
![y = x + c\\ y = -3x + c\\](https://tex.z-dn.net/?f=y%20%3D%20x%20%2B%20c%5C%5C%20y%20%3D%20-3x%20%2B%20c%5C%5C)
(4, -6)
![-6 = -3(4) + c\\ -6 = -12 + c\\ -6 + 12 = c\\ c = 6](https://tex.z-dn.net/?f=-6%20%3D%20-3%284%29%20%2B%20c%5C%5C%20-6%20%3D%20-12%20%2B%20c%5C%5C%20-6%20%2B%2012%20%3D%20c%5C%5C%20c%20%3D%206)
![6 = -3(0) + c\\ 6 = 0 + c\\ c = 6](https://tex.z-dn.net/?f=6%20%3D%20-3%280%29%20%2B%20c%5C%5C%206%20%3D%200%20%2B%20c%5C%5C%20c%20%3D%206)
(0, 6)
![6 = -3(0) + c\\ 6 = -0 + c\\ c = 6](https://tex.z-dn.net/?f=6%20%3D%20-3%280%29%20%2B%20c%5C%5C%206%20%3D%20-0%20%2B%20c%5C%5C%20c%20%3D%206)
The equation of the line is
![y = -3x + 6\\](https://tex.z-dn.net/?f=y%20%3D%20-3x%20%2B%206%5C%5C)
Answer:
B {6, 6, 7}
Step-by-step explanation:
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
For a given triangle with 3 sides, the sun of the length of any two sides must be greater Than the third side. This can be expressed mathematically as;
Let the side be ;
x, y and z
Then:
x > (y + z) or
y > (x + z) or
z > (x + y)
For A{2,5,9}
(2 + 5) < 9 (does not meet criteria)
For B {6,6,7}
(6 +6) > 7
(7 +6) > 6
Meets all criteria
For C {6,4,2}
(4 +2) is not greater Than 6 (does not meet criteria)
For D {7,8,1}
(7 +1) is not greater Than 8 ( does not meet criteria)