Answer:
Step-by-step explanation:
f(x) = 4-x
g(x) = h
+k
g(f(x)) = 2
-16x+26
so put f(x) in g(x)
h
+k
h((4-x)(4-x) + k
h(
-8x+16)+k
if h = 2 , then
2
-16x+32 + k
and we want 26 instead of 32 so subtract 6 so K = (-6)
2
-16x+32 + (-6)
2
-16x+32 - 6
2
-16x+26
h=2
k=(-6)
Answer:
Option B) (7x+4)(7x+4) is correct
The product result in a perfect square trinomial is

Step-by-step explanation:
( using
)
( using
)


Therefore 
which is a perfect square trinomial
A trinomial is a perfect square trinomial if it can be factored into a binomial multiplied to itself. In a perfect square trinomial, two terms will be perfect squares.
Option B) (7x+4)(7x+4) is correct
The product result in a perfect square trinomial is

Answer:
a) 
b)
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and can find the slope.
Point slope:
a)
in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is
.
We will substitute
and
.

This simplifies to:

b) The equation y=3x+4 follows y=mx+b. For the perpendicular line,
. We will need to change it into its negative reciprocal which is
.
We will substitute
and
.
