How many inches is the smaller dimension of the decreased, Mathematics

Assignment Help:

A photographer decides to decrease a picture she took in sequence to fit it within a certain frame. She requires the picture to be one-third of the area of the original. If the original picture was 4 inches through 6 inches, how many inches is the smaller dimension of the decreased picture if each dimension changes the same amount?

Let x = the amount of reduction.  Then 4 - x = the width of the decreased picture and 6 - x = the length of the decreased picture. Since area is length times width, and one-third of the old area of 24 is 8, the equation for the area of the decreased picture would be (4 - x)(6 - x) = 8. Multiply the binomials by using the distributive property:  24 - 4x - 6x + x2 = 8; combine like terms: 24 - 10x + x2 = 8. Subtract 8 from both sides: 24 - 8 - 10x + x2 = 8 - 8. Simplify and place in standard form: x2 - 10x + 16 = 0. Factor the trinomial into 2 binomials: (x - 2)(x - 8) = 0. Set each factor equal to zero and solve: x - 2 = 0 or x - 8 = 0; x = 2 or x = 8. The solution of 8 is not reasonable because it is greater than the original dimensions of the picture. Accept the solution of x = 2 and the smaller dimension of the reduced picture would be 4 - 2 = 2 inches.

 


Related Discussions:- How many inches is the smaller dimension of the decreased

Addition, #questiowhat is 1+1n..

#questiowhat is 1+1n..

Determine differential equation from direction field, Thus, just why do we ...

Thus, just why do we care regarding direction fields? Two nice pieces of information are there which can be readily determined from the direction field for a differential equation.

Integer., How do we add integers

How do we add integers

Core concepts, what are the core concept of marketing

what are the core concept of marketing

Conduct an appropriate hypothesis test, Aspire LLP is a recruitment agency....

Aspire LLP is a recruitment agency. Recently, the company senior manager, Kay conducted a survey to understand the number of hours students spend daily on their studies after schoo

Denote the statement in predicate calculus, Denote the subsequent statement...

Denote the subsequent statement in predicate calculus: "Everybody respects all the selfless leaders". Ans: For each X, if every Y that is a person respects X, then X is a selfl

Set theory, how to prove Decidability Theorem of Logic

how to prove Decidability Theorem of Logic

Help, can you help me learn faster in school

can you help me learn faster in school

Constructions, Draw a line segment AB of length 4.4cm. Taking A as centre, ...

Draw a line segment AB of length 4.4cm. Taking A as centre, draw a circle of radius. 2cm and taking B as centre, draw another circle of radius 2.2cm. Construct tangents to each cir

Evaluate the limit, Evaluate the given limit. Solution : It is a ...

Evaluate the given limit. Solution : It is a combination of many of the functions listed above and none of the limited are violated so all we have to do is plug in x = 3

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd