We want to find the equation of the normal line of

at the point

, where

. First calculate

. We have:

Now, when we know that

we can write an equation of the normal line as:

Calculate

:

and the equation of the normal line:
the answer is the first one when you you graph it on a graph you can see it's perpendicular
H>12 and w>12 however p≤60
p=2(h+w) but give what we have above for h and w
p>48 so p must satisfy the solution set:
48<p≤60 and since p=2(h+w)
48<2(h+w)≤60
24<h+w≤30
So there are infinitely many solutions if h and w are not restricted to integer values...
(h,w) vary from (12,18) to (18,12) Note that neither endpoints exist, 12 because it is explicitly excluded and 18 because that would make the other dimension 12 which is excluded...
Now if you are just talking integer values, there are only:
(13,17),(14,16),(15,15),(16,14),(17,13)
Step-by-step explanation:
I assume we are simplifying
1) -6k+7k = k
2) 12r-8-12 = 12r-20
3) n-10+9n-3 = 10n-13
4) -4x-10x = -14x
Answer:
(A)

(B)

Step-by-step explanation:
(A)
we are given


Firstly, we will find few terms









so, we will get terms as
5, 7 , 9 , 11
we can see that this is arithematic sequence
First term =5
common difference =d=7-5=2
now, we can use nth term formula

now, we can plug values



(B)
we can plug n=10

