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
aleksley [76]
3 years ago
11

What is the side length, in inches, of the pets

Mathematics
1 answer:
tatiyna3 years ago
7 0

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 and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?

Answer:

the length of the sign is 4x-5 inches

Step-by-step explanation:

Given

Area of the square of design = 16x^{2} -40x+25

First we find the roots of equation 16x^{2} -40x+25=0

The roots of the quadratic equation ax^{2} +bx^{2} +c=0 are given by

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

where a=16, b=-40, c=25

x=\frac{40\pm\sqrt{(-40)^2-4\times 16\times 25}}{2\times 16}

x=\frac{40\pm\sqrt{1600-1600}}{32}

x=\frac{40\pm\sqrt{0}}{32}

x=\frac{40}{32}

x=\frac{5}{4}

4x=5\\4x-5=0

That is, the factors of the polynomial 16x^{2} -40x+25 are 4x-5 and 4x-5.

So, Area of the square design = 16x^{2} -40x+25 = (4x-5)^{2}

Area of a square = Length^2

Thus, the length of the sign is 4x-5 inches

You might be interested in
What theorem or postulate can be used to justify that the two triangles are congruent? Write the congruence
jekas [21]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
Pls Help its only one question its about Triangles Thank you!!
Alex_Xolod [135]
Does it tell you what (x) stands for
4 0
3 years ago
Reduce a ratio 3/4in: 3/16 ft
Dmitrij [34]

Answer:

4in : 1ft

Step-by-step explanation:

We start with:

3/4 in = 3/16 ft

This means that the length of 3/4 inches is the same as the length of 3/16 feet.

To reduce this, we can start by dividing by 3 in both sides of the equation:

(3/4)/3 in = (3/16)/3 ft

1/4 in = 1/16 ft

Now we can multiply both sides by 16:

16/4 in = 16/16ft

4 in = 1ft

now we reduced the ratio to:

4in : 1ft

5 0
3 years ago
The lengths of the legs of a right triangle are 6 cm and 8 cm. What is the length of the hypotenuse?
Svetllana [295]
You require the Pythagorean Theorem: in a right triangle, the sum of the squares of the legs equals the square of the hypotenuse.In this case 6^2 + 8^2 = 36 + 64 = 100 = 10^2
 the hypotenuse is 10.
6 0
3 years ago
Read 2 more answers
I need help in my math homework
Anastaziya [24]
Q19.Sunday equals 351 so that plus a hundred equals 451 plus 50 equals 501 so now we round it to closest number wensday at 506

q20.so Thursday and friday added equal 774

q21.Anna's report is 830 Joe's is 670 it would equal 160 more than Joe's so problem is 830 minus 670 equals 160 that is how much more Anna is than joe

q22.ok so week on equals 486 rounded equals 490 next week she got 254 rounded 250 she wanted to earn 545 so if we take 490 and add 50 equals 540 then add 200 and then it's 740 so we now know are answer is near that so I'm going to add them both now 486 plus 254 equals 740 ironically the exact same amount.

q23.ok so 972 minus 468 equals 504 that is how many inches he is bigger than the other one

if you need anymore help just let me know mate
4 0
3 years ago
Other questions:
  • Help please the questions are in the pictures
    10·1 answer
  • Please be right i need to Ace this thank you
    14·1 answer
  • Solve C= AB + D for B
    14·2 answers
  • The length of a rectangle is 4x+1 and the width is 2x+5. Write an expression and simplify it in terms of x: whats the perimeter
    8·1 answer
  • Plz help me!!!! I have 2 questions for 20 points, be serious about this!
    9·1 answer
  • Use the circle to represent the following situation and show how you came up with the answer.
    8·1 answer
  • during a sale , a shop allows discount of the marked price of clothing . What will a costumer pay for a dress with a marked pric
    9·2 answers
  • PLZ HELP I GIVE BRAINLIEST!!!
    15·1 answer
  • Someone plz help this is due today
    10·1 answer
  • PROBABILITY!! Please help huge part of my grade will give BRAINLIEST or venmo you (only need the last 2)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!