The unit normal for the given plane is <5,2,-1>.
The equation of the plane parallel to the given plane passing through (5,5,4) is therefore
5(x-5)+2(y-5)-1(z-4)=0
simplify =>
5x+2y-z=25+10-4=31
Answer: the plane through (5,5,4) parallel to 5x+2y-z=-6 is 5x+2y-z=31
For the problem are you supposed to be solving for x
You have to complete the square on this to get it into standard form of a circle. Move the 8 over to the other side because that's part of the radius. Group together the x terms, take half the linear term which is 8, square it and add it in to both sides. Half of 8 is 4, 4 squared is 16, so add in 16 to both sides. I'll show you in a sec. You don't need to do anything to the y squared term. This just means that the center of the circle does not move up or down, only side to side, right or left. Here's your completing the square before we simplify it down to its perfect square binomial.

. Now break down the parenthesis into the perfect square binomial and do the addition of the right:

. This is the standard form of a circle that has a center of (4, 0) and a radius of
Answer:
y=11/2
Step-by-step explanation:
6y+11=3y+5y
11=3y+5y-6y
11=2y
11/2=y
Answer:
Option B.
Step-by-step explanation:
We need to find the situation that could be represented by the sentence 15-5=P.
Option A:
Stuart is reading a book that has a total of 15 chapters. He reads 5 chapters every day. How many days will it take Stuart to finish the book?
Let the number of days be d.

Option B:
Stuart is reading a book that has a total of 15 chapters. He has already read 5 chapters. How many chapters of the book are left for Stuart to read?
Let the number of remaining chapters be p.

Option C:
Stuart is reading a book that has a total of 15 chapters. This book has 5 chapters less than the book Stuart read last week. How many chapters were in the book Stuart read last week?
Let the number of chapters in the book Stuart read last week be n.

Option D:
Stuart is reading a book that has a total of 15 chapters. This is 5 times the number of chapters as the book Stuart read last week. How many chapters were in the book Stuart read last week?
Let the number of chapters in the book Stuart read last week be n.

Therefore. the correct option is B.