Answer:
The quotient is: x-7
The remainder is: -2
Step-by-step explanation:
We need to divide (x^2 - 13x +40) divided by (x- 6)
The quotient is: x-7
The remainder is: -2
The division is shown in the figure attached
Answer:
Looking at the graphic, if a 45-45-90 triangle has a hypotenuse of 1, then each of the side lengths equal 1 / square root (2)
Source: https://www.1728.org/trig2.htm
Step-by-step explanation:
We have that
f(x)=(x-4)^2-1 in the question and f(x)=-(x-4)^2-1 in the picture
<span>so
</span><span>I'm going to analyze the two cases
</span><span>
using a graph tool
case 1)
</span>f(x)=(x-4)^2-1<span>
the vertex is the point (4,-1)
the x intercepts are the points (3,0) and (5,0)
the y intercept is the point (0,15)
</span><span>the axis of symmetry is x=4
</span>see the attached figure N 1
case 2)
f(x)=-(x-4)^2-1
the vertex is the point (4,-1)
there is no x intercepts
the y intercept is the point (0,-17)
the axis of symmetry is x=4
see the attached figure N 2
the answer <span>
considering the case N 2 </span>
isvertex (4,-1)------> is correcty intercept (0,-17)-----> is correctaxis of symmetry x=4-----> is correct