The root of this parabola are x'=2 & x'' = 4, these are the value of x intercepts. The midpoint = (4-2)/2 = 1
Answer:
4x² -4xy -4y -4
Step-by-step explanation:
![\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}](https://tex.z-dn.net/?f=%5Cboxed%7B%20%7Ba%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%28a%20%2B%20b%29%28a%20-%20b%29%7D)
In this case, a= 2x -y and b= y +2.
(2x -y)² -(y +2)²
= (2x -y +y +2)[2x -y -(y +2)]
= (2x +2)(2x -y -y -2)
= (2x +2)(2x -2y -2)
= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) <em>(expand)</em>
= 4x² -4xy -4x +4x -4y -4
= 4x² -4xy -4y -4
Alternatively, start by expanding the brackets.
![\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }](https://tex.z-dn.net/?f=%5Cboxed%7B%28a%20-%20b%29%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20-%202ab%20%5C%3A%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%7D)
![\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }](https://tex.z-dn.net/?f=%5Cboxed%7B%28a%20%2B%20b%29%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%202ab%20%5C%3A%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%7D)
(2x -y)² -(y +2)²
= 4x² -4xy +y² -(y² +4y +4)
= 4x² -4xy +y² -y² -4y -4 <em>(</em><em>expand</em><em>)</em>
= 4x² -4xy -4y -4 <em>(</em><em>simplify</em><em>)</em>
6x + 4y = 8
-4y = 12
6x + 4y = 8
y = 12/-4 = -3
6x + 4(-3) = 8
y = -3
6x -12 = 8
y = -3
x = (8+12)/6 = 10/3
y = -3 i guess
Answer:
x=24
Step-by-step explanation:
HE= 1/3(HG)
x-3=1/3(4x-15)
3x-9=4x-15
-x=-24
x=24
The first option would be the correct answer because you have the outer angle at 121 degrees and a straight angle adds up to 180 degrees so 121 - 180 = 59. Now you have the original angle on the inside which is 47 degrees and you add 47 + 59 and you get 106. Since this shape is a triangle you would do 180 - 106 to get your last angle which would be 74. Hope this helps!