The correct answer is
g(f(1))
Plug 1 into the f function.
f(1) = 2(1) + 6
f(1) = 8
Now evaluate g(8)
g(8) = 8^2 + 6
g(8) = 70
Hope this helps!
So in short your answer is 70
A(–2, 4), B(4, 4), C(4, –2), D(–2, –2)
-> select some diagonal: AC
midpoint is at A+(1/2)*AC
-> calculate vector AC:
AC=(4-(-2),-2-4)=(6,-6)
-> calculate half length of AC:
(1/2)*AC=(3,-3)
A+(1/2)*AC=
(-2,4)+(3,-3)=(1,1) which is the midpoint
so the first option is correct
(a) m = 
calculate the slope (m) using the ' gradient formula '
m = 
let (x₁, y₁) = (8, 9) and (x₂, y₂) = ( - 2, 4)
m =
=
= 
(b) y - 9 =
(x - 8)
the equation of a line in ' point- slope form ' is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
choose any of the 2 given points for (a, b) → (8, 9)
y - 9 =
(x - 8) → " point- slope form"
(c) y =
x + 5
the equation of a line in ' slope-intercept form ' is
y = mc + c
where m is the slope and c the y-intercept
expand and simplify the point- slope equation
y - 9 =
x - 4
y =
x - 4 + 9
y =
x + 5 → " slope- intercept form"
Answer: the answer is gonna be a decimal which is Decimal: 145.333333 the 3 is repeated it keeps going forever
The correct answer to this question is letter A.
Hope this answer helped!