Answer:
(-1,-6)
Step-by-step explanation:
![f(x)=x^2+6x+3](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2B6x%2B3)
![g(x)=f(x-2)](https://tex.z-dn.net/?f=g%28x%29%3Df%28x-2%29)
(Replaced x in f with (x-2))
(Used
and distributive property)
(Gathered like terms)
(Simplified)
The vertex of a parabola occurs at
.
Let's find
first.
![\frac{-2}{2(1)}=-1](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B2%281%29%7D%3D-1)
Now we can obtain
which is
in this case:
![g(x)=x^2+2x-5](https://tex.z-dn.net/?f=g%28x%29%3Dx%5E2%2B2x-5)
![g(-1)=(-1)^2+2(-1)-5](https://tex.z-dn.net/?f=g%28-1%29%3D%28-1%29%5E2%2B2%28-1%29-5)
![g(-1)=1-2-5](https://tex.z-dn.net/?f=g%28-1%29%3D1-2-5)
![g(-1)=-1-5](https://tex.z-dn.net/?f=g%28-1%29%3D-1-5)
.
The vertex is (-1,-6).
![\frac{20}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B20%7D%7B10%7D%20)
cannot be changed to a mixed number. 10 could divide both numerator and denominator. And you get 2.
Image is missing, so i have attached it.
Answer:
AC = 10sin 40°
Step-by-step explanation:
From the diagram attached, using terms in trigonometric ratio, AC is the opposite side, BC is the adjacent side and AB is the hypotenuse.
Thus, since we want to find AC;
We know that in trigonometric ratios; opposite/hypotenuse = sin θ
In the diagram, θ = 40° and AB = 10
Thus,
AC/10 = sin 40°
Multiply both sides by 10 to get;
AC = 10sin 40°
Yes I agree with that because you combined the terms in the monomial correctly and the degree of the monomial was greater then the degree of any other mono/binomials in the polynomial
Answer:
25
Step-by-step explanation:
12 months in a year
From 31 January 2020 to 31 December 2020 = 12 months
From 31 January 2021 to 31 December 2021= 12 months
include final January = 1 month
12+12+1=25