The simplest form would be in a fraction 5/3
<h2>
Answer:</h2>
![\boxed{y=-3}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D-3%7D)
<h2>
Step-by-step explanation:</h2>
The graph of this parabola is shown below. From this graph we know that:
VERTEX:
![(h,k)=(0,0)](https://tex.z-dn.net/?f=%28h%2Ck%29%3D%280%2C0%29)
DIRECTIX:
Since the vertex lies on the origin and the parabola opens upward, then the standard form of this parabola is:
![x^2=4py](https://tex.z-dn.net/?f=x%5E2%3D4py)
So:
![y=\frac{1}{12}x^2 \\ \\ \therefore 12y=x^2 \ or \ x^2=12y \\ \\ \\ Then: \\ \\ 4p=12 \therefore p=3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B12%7Dx%5E2%20%5C%5C%20%5C%5C%20%5Ctherefore%2012y%3Dx%5E2%20%5C%20or%20%5C%20x%5E2%3D12y%20%5C%5C%20%5C%5C%20%5C%5C%20Then%3A%20%5C%5C%20%5C%5C%204p%3D12%20%5Ctherefore%20p%3D3)
Then the directrix is:
![y=k-p \\ \\ \therefore y=0-3 \therefore \boxed{y=-3}](https://tex.z-dn.net/?f=y%3Dk-p%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3D0-3%20%5Ctherefore%20%5Cboxed%7By%3D-3%7D)
Answer:
x = 8
Step-by-step explanation:
Given
- 2(- 3x + 3) + 2x = 58 ← distribute and simplify left side
6x - 6 + 2x = 58
8x - 6 = 58 ( add 6 to both sides )
8x = 64 ( divide both sides by 8 )
x = 8
Answer:
Step-by-step explanation: B. SSS because it shows us three sides ,C.RHS because it has a right angle, d. AAS because it shows us two sides and a non included side, e. RHS because it has a right angle, f. AAS because it has two angles and non included side.
Answer:
m<6=77°
Step-by-step explanation:
Because the angles marked 3x+5 and 4x+7 are same side exterior angles, they are supplementary, meaning that
3x+5°+4x+7°=180°
7x+12°=180°
7x=168°
x=24°
Because the angles marked 6 and 3x+5 are corresponding angles, they are congruent, so:
<6=24*3+5
<6=77°