Answer:
B and A
Step-by-step explanation:
Answer:
k=5
Step-by-step explanation:
step 1
Find the equation of the line f(x)
we have the points
(-4,0) and (-2,2)
<em>Find the slope m</em>
![m=(2-0)/(-2+4)\\m=1](https://tex.z-dn.net/?f=m%3D%282-0%29%2F%28-2%2B4%29%5C%5Cm%3D1)
Find the equation of the line in point slope form
![y-y1=m(x-x1)](https://tex.z-dn.net/?f=y-y1%3Dm%28x-x1%29)
we have
![m=1\\(-4,0)](https://tex.z-dn.net/?f=m%3D1%5C%5C%28-4%2C0%29)
substitute
![y-0=(1)(x+4)](https://tex.z-dn.net/?f=y-0%3D%281%29%28x%2B4%29)
![y=x+4)](https://tex.z-dn.net/?f=y%3Dx%2B4%29)
Remember that
f(x)=y
so
![f(x)=x+4](https://tex.z-dn.net/?f=f%28x%29%3Dx%2B4)
step 2
Find the equation of the line g(x)
we have the points
(-4,0) and (-2,-10)
<em>Find the slope m</em>
![m=(10-0)/(-2+4)\\m=5](https://tex.z-dn.net/?f=m%3D%2810-0%29%2F%28-2%2B4%29%5C%5Cm%3D5)
Find the equation of the line in point slope form
![y-y1=m(x-x1)](https://tex.z-dn.net/?f=y-y1%3Dm%28x-x1%29)
we have
![m=5\\(-4,0)](https://tex.z-dn.net/?f=m%3D5%5C%5C%28-4%2C0%29)
substitute
![y-0=(5)(x+4)](https://tex.z-dn.net/?f=y-0%3D%285%29%28x%2B4%29)
![y=5(x+4)](https://tex.z-dn.net/?f=y%3D5%28x%2B4%29)
Remember that
g(x)=y
so
![g(x)=5(x+4)](https://tex.z-dn.net/?f=g%28x%29%3D5%28x%2B4%29)
Remember that
------> ![g(x)=5(x+4)](https://tex.z-dn.net/?f=g%28x%29%3D5%28x%2B4%29)
therefore
k=5
7 + 9 *6
7 + 54
61 - final answer
In math, the word dilate means to enlarge or reduce a figure.