Answer:
By ASA
Step-by-step explanation:
<SVR=<VRT (ALTERNATE ANGLES)
SIDE RV=SIDE RV (COMMON)
<SRV=<TVR (ALTERNATE ANGLES)
So by side angle side postulate both triangles are congruent
Hope u understand
Brainliest?
- The y-intercept is the point (0,12)
- The axis of symmetry is x = 4
<h2 /><h2>
Explanation:</h2>
The complete question is as follows:
_________________________________________
What is the y-intercept of the quadratic function
f(x) = (x – 6)(x – 2)?
(0,–6)
(0,12)
(–8,0)
(2,0)
_________________________________________
<h3>1. Y-INTERCEPT</h3>
The quadratic function in standard form can be written as follows:
![f(x)=ax^2+bx+c](https://tex.z-dn.net/?f=f%28x%29%3Dax%5E2%2Bbx%2Bc)
If we set
we get the y-intercept:
![f(0)=a(0)^2+b(0)+c \\ \\ c=f(0)](https://tex.z-dn.net/?f=f%280%29%3Da%280%29%5E2%2Bb%280%29%2Bc%20%5C%5C%20%5C%5C%20c%3Df%280%29)
In other words, the y-intercept is the point:
![(0,c)](https://tex.z-dn.net/?f=%280%2Cc%29)
Our quadratic function is given by the form:
![f(x) = (x-6)(x-2) \\ \\ \\ If \ x=0: \\ \\ f(0)=(0-6)(0-2) \\ f(0)=(-6)(-2) \\ \\ c=f(0)=12](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x-6%29%28x-2%29%20%5C%5C%20%5C%5C%20%5C%5C%20If%20%5C%20x%3D0%3A%20%5C%5C%20%5C%5C%20f%280%29%3D%280-6%29%280-2%29%20%5C%5C%20f%280%29%3D%28-6%29%28-2%29%20%5C%5C%20%5C%5C%20c%3Df%280%29%3D12)
So the y-intercept is the point:
![\boxed{(0,12)}](https://tex.z-dn.net/?f=%5Cboxed%7B%280%2C12%29%7D)
<em>Finally, the y-intercept is the point (0,12)</em>
<h3>2. AXIS OF SYMMETRY:</h3>
The axis of symmetry can be found if we know the vertex of the parabola. The x-coordinate of the vertex of the parabola can be found as:
![x=-\frac{b}{2a} \\ \\ Where: \\ \\ f(x)=ax^2+bx+c \\ \\ From \ f(x) = (x-6)(x-2). \\ \\ Applying \ Distributive \ Property: \\ \\ f(x) = x^2-2x-6x+12 \\ \\ f(x) = x^2-8x+12 \\ \\ So: \\ \\ a=1 \\ b=-8 \\ c=12 \\ \\ \\ Finally: \\ \\ x=-\frac{-8}{2(1)} \\ \\ \boxed{x=4}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7Bb%7D%7B2a%7D%20%5C%5C%20%5C%5C%20Where%3A%20%5C%5C%20%5C%5C%20f%28x%29%3Dax%5E2%2Bbx%2Bc%20%5C%5C%20%5C%5C%20From%20%5C%20f%28x%29%20%3D%20%28x-6%29%28x-2%29.%20%5C%5C%20%5C%5C%20Applying%20%5C%20Distributive%20%5C%20Property%3A%20%5C%5C%20%5C%5C%20f%28x%29%20%3D%20x%5E2-2x-6x%2B12%20%5C%5C%20%5C%5C%20f%28x%29%20%3D%20x%5E2-8x%2B12%20%5C%5C%20%5C%5C%20So%3A%20%5C%5C%20%5C%5C%20a%3D1%20%5C%5C%20b%3D-8%20%5C%5C%20c%3D12%20%5C%5C%20%5C%5C%20%5C%5C%20Finally%3A%20%5C%5C%20%5C%5C%20x%3D-%5Cfrac%7B-8%7D%7B2%281%29%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7Bx%3D4%7D)
<em>Finally, the axis of symmetry is x = 4</em>
<h2>Learn more:</h2>
Parabola: brainly.com/question/9976545
#LearnWithBrainly
Answer is:
87
If this helps you plzz brainliest me....
Answer:
I think the answer is D, but i am not 100% sure
Step-by-step explanation:
Answer:
Number of R marbles=3.
Number of G marbles=5
Number of B marbles=2
Number of W marbles=1
after this then you add the marbles together ,
which will give you 11.
number of marbles\ total number of R marbles
3÷11