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
Oliga [24]
2 years ago
7

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer a

nd asks for a sign that has an area of 16x2 – 40x + 25 square inches. A square labeled 16 x squared minus 40 x + 25 What is the side length, in inches, of the pet shop sign?
Mathematics
1 answer:
soldi70 [24.7K]2 years ago
6 0

Answer:

length of side of square = (4x - 5) inches

Step-by-step explanation:

We are given;

Area of square = 16x² – 40x + 25

Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a

Thus;

x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)

x = [40 ± √(1600 - 1600)]/32

x = (40 ± 0)/32

x = 40/32

x = 5/4

Thus, the factors of the polynomial are;

(4x - 5)²

So,

Area = 16x² – 40x + 25 = (4x - 5)²

Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches

You might be interested in
Write the next three terms of the geometric sequence.
Sati [7]

Answer:

5, 1, 0.2

Step-by-step explanation:

Divide the number by 5 to get the next one.

8 0
3 years ago
True or False: (x + 3)2 = x2 + 9
malfutka [58]

Answer:

false

Step-by-step explanation:

3 0
3 years ago
Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.
natali 33 [55]
X = − 3 + 3+3i√3
————————
2
,3−3i√3
—————
2
5 0
3 years ago
Read 2 more answers
[ANSWER ASAP PLEASE] Which point is a reflection of across the x-axis? A. point A B. point B C. point C D. point D E. point E​
Alex_Xolod [135]

Answer:

Point C

Step-by-step explanation:

We want to reflect across the x axis

That means the y coordinate changes sign

Z = ( 5 1/2 , 3)

Z' = ( 5 1/2 , -3)

That is point C

8 0
3 years ago
PLZ PLZ❓❓❓HELP
Liula [17]

Answer:

22.36

Step-by-step explanation:

20*.86=17.2

12 *.43= 5.16

5 0
3 years ago
Other questions:
  • ????????????????????
    14·1 answer
  • 12:55 P.M. the movies was 2 hours and 25 minutes long after the movies they played a card game for 1 hour and 25 minutes and the
    14·1 answer
  • The two largest lizards in the united states are the gila monster and the chuckwalla. The average gila monster is 0.608 meter lo
    13·1 answer
  • What is another fraction you can make out of 3/8 and 1/6
    14·1 answer
  • Terrence took a total of 16 pages of notes during 8 hours of class. In all, how many hours will
    5·1 answer
  • A student bought 5 coats at $86 each and paid for them with only $20 bills. How many bills did it take ?
    15·1 answer
  • PLEASE HELP ASAP!!!!!
    6·1 answer
  • This quarter circle has a radius of 7 centimeters.
    5·2 answers
  • I hate copy and pastes​
    13·2 answers
  • What is the area of an equilateral triangle that has a perimeter of 36 centimeters? round to the nearest square centimeter. 15 s
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!