Answer:
we have
f(x)=x-6f(x)=x−6 -----> equation A
This is a linear equation with slope m=1m=1 and a y-intercept equal to -6−6
g(x)=x+6g(x)=x+6 -----> equation B
This is a linear equation with slope m=1m=1 and a y-intercept equal to 66
The function f(x) and g(x) are parallel lines
we know that
h(x)=f(x)+g(x)h(x)=f(x)+g(x)
Substitute
h(x)=x-6+x+6h(x)=x−6+x+6
h(x)=2xh(x)=2x
This is a linear equation with slope m=2m=2 that passes through the origin ( represent a direct variation)
Using a graphing tool
see the attached figure
4(5) - 2/-2(-3) + 1
20 - 2/6 + 1
18/7
2 4/7
Letter b
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
g(r) = (13 -πr)²/4
Step-by-step explanation:
The circumference of the circle is given by ...
C = 2πr
The amount of rope remaining after the circle is formed will be ...
26 -2πr
When this is used to form a square, each side of the square will be 1/4 of this length, so is ...
s = (26 -2πr)/4 = (13 -πr)/2
The area of the square is the square of the side lengths, so is ...
g(r) = ((13 -πr)/2)²
g(r) = (13 -πr)²/4 . . . . area of the square as a function of circle radius