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
Answer:

Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
Let
c ----> the total cost of the boat rental
d ---> is the number of days, the family rents the boat
we know that
Kaya's family spends $105 to rent a boat for 7 days
so
For d=7 days, c=$105
Find the value of the constant of proportionality k

substitute the given values

therefore
The linear direct equation is equal to

Answer:
x^4+64 = x^2 -4x+8 * x^2 +4x+8
Step-by-step explanation:
Here is the solved answer for this question
Answer:
Food B has fewer calories.
Step-by-step explanation:
To find the unit rate we had to transfer both to have the denominator. To do that we have to find a common denominator both 4 and 3 have. The common denominator is 12. We then use 12 as a denominator and solve. (Sorry I don't really know how to explain.)
Food A=
12 ÷ 4 is 3, 3 × 3 = 9.
9/12
Food B=
12 ÷ 3 = 4, 4 × 2 = 8.
8/12