A piece of cardboard in the shape of a parallelogram is twisted to form the tube for a roll of paper towels. The parallelogram has an area of 60 square inches. If its height h is 7 inches more than the length of the base b, what is the length of the base? (Hint: The formula for the area of a parallelogram is A = bh in

base= 5 in

height  = 12 in

Step-by-step explanation:

Area = base x height

Base = b

Height = b+7

So:

60= b ( b+7)

60 = b^2 +7b

0 = b^2 +7b -60

a= 1 ; b=7 ; c=-60

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Replacing with the values given:  

x =[ -7 ± √(7)²-4(1)-60] /2(1)  

x = [ -7 ± √49 +240] /2  

x = [ -7 ± √289] /2  

x = [ -7 ± 17] /2  

Positive:  

x = [ -7 +17] /2 = 5

So:  

b= 5 in ( base)

Height = b+7 = 5+7 = 12 in

Feel free to ask for more if needed or if you did not understand something.  

d

step-by-step explanation:

in a an geometric explicit equation, the first number is the starting rate. in this case 10.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this