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
xeze [42]
3 years ago
15

Solving a word problem using a quadratic equation with rationa...

Mathematics
1 answer:
choli [55]3 years ago
8 0

Answer:

length : 8 m

width : 13/2 = 6.5 m

Step-by-step explanation:

area of rectangle = l(ength)×w(idth) = 52

l = 2w - 5

=> (2w - 5)×w = 52

=> 2w² -5w - 52 = 0

we know, when transforming this quadratic equation into a multiplication of two expressions of w, that we need to have 2w and w (to make 2w²), and then which 2 numbers multiply to 52 and add to -5 (when one is multiplied by 2 due to 2w) : -13 and 4

=> (2w - 13)×(w + 4) = 0

=> 2 solutions for w :

2w-13 = 0

2w = 13, w = 13/2

w+4 = 0, w = -4

negative values for a side length of a shape do not make sense, so the only usable solution is w = 13/2

=> l = 2w - 5 = 13 - 5 = 8

You might be interested in
What is the answer? Please help me!!! PLEASE!!!!
sladkih [1.3K]

Answer:

a.) y=1/3x +3

Step-by-step explanation:

8 0
3 years ago
Solve equation: 15=2y - 5(quickly please)
andrew11 [14]


15+5=2y-5+5

=20 = 2y

20/2 = 2y/2

10 = y

5 0
3 years ago
Match these items match the items in the left column to the items in the right column
Setler [38]
1) Base
2) Exponent
3) Metric system
5 0
3 years ago
Charlie graphed the line shown in the coordinate grid. Which equation represents the graph of Charlie’s line?
skelet666 [1.2K]

Answer:

i think C. y = -(4/3)x -4 is answer

3 0
2 years ago
What is the answer for <br> h+6/5=2
WARRIOR [948]

h=4 because 4+6=10 and 10/5=2

6 0
3 years ago
Read 2 more answers
Other questions:
  • if a school starts at 11:00 and the kids who take the bus have to get to the bus stop 3 hours and 20 minute from there regular b
    7·1 answer
  • Which of the following expressions is equivalent to 2/ 5 ÷ 7 /8 ?
    14·1 answer
  • Which shows the factored form of x2 – 12x – 45?
    12·2 answers
  • Can someone please tell me the answer. There is a picture. Thank you!
    12·1 answer
  • -2(5×+8)=14+6× solve for x​
    7·2 answers
  • What number multiplied by 3/5 has a product of 1
    5·1 answer
  • Can someone help me for the question 2 pls!!! How I can solve this
    11·1 answer
  • The silence of a triangle are 9 12 and 15 is this a right triangle
    10·1 answer
  • In the following figure (AB) ∥(CD). Suppose that m∠1=32°. What is the measure of the other seven angles? Explain Your Reasoning.
    9·1 answer
  • Tracy can jump rope 26 times in<br> 1 minute. How many times can<br> she jump rope in 90 seconds?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!