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]
3 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]3 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
Evaluate the expression 11!/7!
lara [203]
The evaluation of 11/7 is 1 4/7, realy hope this helps.
3 0
3 years ago
Read 2 more answers
Need help in this mathquestion. The function h(x)=(x+2)^2 can be expressed in the form f(g(x)) where f(x)=x^2 , and g(x) is defi
blsea [12.9K]

Answer:

In a nutshell, g(x) = x+2.

Step-by-step explanation:

A composition is operation between function that consist in replacing the independent variable of the first function, f(x) in this case, for g(x). Common notations for composition between functions are f(g(x)) and f\circ g (x). If we know that h(x) = f\circ g (x) = (x+2)^{2} and f(x) = x^{2}, then g(x) = x+2.

In a nutshell, g(x) = x+2.

4 0
3 years ago
there are 4 inches of snow on the ground when it begins to snow 1.5 inches per hour write a linear equation that represents the
Likurg_2 [28]

Hi There!

Step-by-step explanation:

Lets Use:

x = hours it snows.

y = total inches after it snows.

4 inchest is there before it snows.

It snows 1.5 inches every hour.

Answer:

y = 1.5x + 4

Hope This Helps :)

6 0
3 years ago
Can someone help solve for Y
kotykmax [81]
Because angleCBD+angleBDC+angleC=180 so angleCBD+angleBDC=180-angleC=180-82=98 because BC=DC so angleCBD=angleBDC so 2 angleCDB=98 so angleCDB=49 so y=29 by Joy Xu,紫馨雪汐
7 0
3 years ago
If my radius is 10 what is my circumference
Pavlova-9 [17]

Answer:

Radius, r = 10 cm

Radius, r = 10 cmWe know, Circumference = 2πr=2×π×10=20π cm

The circumference of the circle is

20π cm or about 62.8 cm.

Here's how I did it:

The formula for a circumference of a circle is 2πr , where r is the radius. We can plug our known value of the radius ( 10 cm) into the formula and solve.

2π 10=20π cm or about 62.8 cm.

Step-by-step explanation:

The radius is half as long as the diameter, so the diameter can be thought of as 2r. Keeping this in mind, you can write down the formula for finding the circumference of a circle given the radius: C = 2πr. In this formula, "r" represents the radius of the circle.

Hope it is helpful....

6 0
2 years ago
Other questions:
  • What is 10 percent off 1.80??????????
    7·1 answer
  • Given the function f(x) = 5(x+4) − 6, solve for the inverse function when x = 19.
    8·2 answers
  • The function for the cost of materials to make a hat is f(x) = one half x + 1, where x is the number of hats. The function for t
    6·2 answers
  • 245% as a fraction in simplest form
    14·2 answers
  • SOMEONE PLEASE HELP ME ASAP THIS IS ALMOST DUE ILL MARK BRAINLIEST!!!!
    10·2 answers
  • Linear equations <br> 3(−5x+4)+5x−1=−39<br> Please help
    15·1 answer
  • The hypotenuse of a right triangle measures 19 meters. One leg measures 15 meters. To the nearest tenth of a meter, what is the
    14·1 answer
  • A store has a 20% off discount. If the original price of a shirt is $48, how<br> much will you pay?
    10·1 answer
  • Find the product of 12 and 8. Find the greatest common factor of 12 and 8. Find the least common multiple of 12 and 8. Find the
    9·2 answers
  • I have no clue what this means or says.. I don't think it's english..0.o (to me)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!