1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ss7ja [257]
3 years ago
15

The length of a photograph is 3cm less than twice the width. The area is 54cm^2. Find the dimensions of the photograph.

Mathematics
1 answer:
REY [17]3 years ago
4 0
W= width
l= length= 2w-3

Area= length * width
A= lw
substitute l=2w-3 for l
54= (2w-3)(w)
54= 2w^2 - 3w
subtract 54 from both sides
0= 2w^2 - 3w - 54
factor the polynomial
0= (2w + 9)(w - 6)

Set each set of parentheses equal
to 0 and solve for width.

0=2w+9
-9=2w
-4.5= w NEGATIVE VALUE

0=w-6
6 cm=w

-4.5 is not the answer because it has a negative value. You cannot have a negative side of a photograph. So substitute 6 in to find length.

length= 2w-3
l= 2(6)-3
l= 12-3
l= 9 cm

CHECK:
w= 6cm
l= 9cm
Area= length * width
54= 6*9
54= 54

ANSWER: width= 6cm; length= 9cm

Hope this helps! :)
You might be interested in
A trader made a profit of 24% by selling an article for #372 how much should he have sold it to make a profit of 48%
Ierofanga [76]

Answer: #444

Step-by-step explanation:

First find the original selling price of the article.

When sold for #372 the profit was 24%. Assume the original price is x.

372 = x + 24% * x

372 = 1.24x

x = 372 / 1.24

= #300

If he wanted to make a profit of 48% he should have sold for:

= Original price + (original price * 48%)

= 300 + (300 * 48%)

= #444

4 0
3 years ago
PLS HELP!!! The problem is in the photo attached
MArishka [77]

Answer:

The answer is C!

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Simplify the problems
antoniya [11.8K]
For most of them you can use a fraction simplifier calculator but so far i have b) 21/2 c) 203/2
6 0
2 years ago
The expression 55 + 14m - 2n + 3p has what terms. 2? 5? 3? 4?
dimulka [17.4K]
3 different ones. M-N-& P. Please 
7 0
3 years ago
What is greater 64kg or 64000g
Aleksandr [31]

Answer: neither

Step-by-step explanation: because 64 kg and 640000g are equal masses.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Pears cost 0.92 per pound and apples cost 1.10 per pound.Mr Bonilla bought 3.75 punds of pears and 2.1 pounds of apples.how much
    15·1 answer
  • A midpoint of sequence of numbers. <br> A. Mean <br> B. Median <br> C. Mode <br> D. Zero
    14·2 answers
  • a garage floor measures 150 feet by 120 feet a scale drawing of the floor on grid paper uses a scale of 1 unit : 15feet what are
    7·2 answers
  • Find the volume of a cylinder with a radius of 3 cm and a height of 7 cm.
    12·1 answer
  • What is the first year in which franklins sign shows a larger number than chester’s sign
    13·1 answer
  • Alex a cumparat 2,5 kg de mere si 2,45 kg de portocale. Care masa este mai mare?
    15·1 answer
  • At the university football game, the ratio of the number of freshmen who attended to the number of juniors is 3:4. the ratio of
    10·1 answer
  • What are the measurements of a c and b​
    9·2 answers
  • A certain antihistamine is often prescribed for allergies. a typical dose for a 100-pound person is 21 mg every 6 hours.
    6·1 answer
  • What is the solution of the inequality 9 - x^2&lt;0?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!