Length= y in.
Width= (y-6) in.
Perimeter = 2(L*W)
Perimeter=2L+2W
68in.=2(y)+2(y-6)
68=2y+2y-12
68=4y-12
68+12=4y
4y=80
y=20
Length= 20 inches, width =14 inches
Answer:
The equation of tangent plane to the hyperboloid
.
Step-by-step explanation:
Given
The equation of ellipsoid

The equation of tangent plane at the point 
( Given)
The equation of hyperboloid

F(x,y,z)=


The equation of tangent plane at point 

The equation of tangent plane to the hyperboloid

The equation of tangent plane

Hence, the required equation of tangent plane to the hyperboloid

General Idea:
To find the Greatest Common Factor of binomial, we need to write each term as product of prime factors. GCF by definition means the product of common prime factors involved with its lowest terms. It is a number which will go in to both the terms in a binomial.
Given :

Applying the concept :

In order to get the expression inside the parenthesis after factoring GCF 5, we need to divide each term by what we factor out as shown below:

The formula is
A=p (1+rt)
A cost of the car 13080
P amount deposited 12000
R interest rate 0.03
T time?
Solve for t
T=[(A/p)-1]÷r
T=((13,080÷12,000)−1)÷0.03
T=3 years
It’s distance times speed over time. So 108km/s x 3.0 = 324 divided by 5 which equals 64.8 km/s