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
Drag the choices into the boxes to explain how all real numbers have a decimal expansion.
KATRIN_1 [288]

The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.

Step-by-step explanation:

1. The decimal forms of some real numbers, like( ), terminate

A number is terminating if it has decimal with finite number

So, \frac{3}{16}= 0.1875 as decimal stops after 4 digits so it is terminating.

2.  the decimal forms of other real numbers, like( ), do not terminate, but have a repeating pattern.

A number that do not terminate, but have a repeating pattern.

So, 4 \frac{2}{11} =\frac{44}{11}=4.1818181

3. have decimal forms that neither terminate nor repeat

5^2 = 25 it neither terminates nor repeat

So, answers will be:

The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.

Keywords: Decimals

Learn more about decimals at:

  • brainly.com/question/10941043
  • brainly.com/question/4390083

#learnwithBrainly

6 0
3 years ago
The sum to infinity of a geometric sequence is twice the first term. What is<br> the common ratio?
Dovator [93]

Answer:

The constant factor between consecutive terms of a geometric sequence is called the common ratio.

Example:

To find the common ratio , find the ratio between a term and the term preceding it. r=42=2. 2 is the common ratio.

6 0
3 years ago
Type the next term in the sequence. 15, 12, 9, 6,
AveGali [126]

Answer:

3

Step-by-step explanation:

It's decreasing by 3 each time, so the next number in the sequence would be 6 - 3, which is 3.

6 0
3 years ago
Read 2 more answers
A hotel has 480 rooms. Of these rooms, 4/5 are non-smoking. How many rooms are ... a. nonsmoking? b. smoking?
Anestetic [448]
Answer: 384
There are 384 smoke free rooms.
7 0
3 years ago
Scientists studying dolphin echolocation simulate the projection of a bottlenose dolphin's clicking sounds using computer
lina2011 [118]

Step-by-step explanation:

The equation of a parabola with focus at (h, k) and the directrix y = p is given by the following formula:

(y - k)^2 = 4 * f * (x - h)

In this case, the focus is at the origin (0, 0) and the directrix is the line y = -1.3, so the equation representing the cross section of the reflector is:

y^2 = 4 * f * x

  = 4 * (-1.3) * x

  = -5.2x

The depth of the reflector is the distance from the vertex to the directrix. In this case, the vertex is at the origin, so the depth is simply the distance from the origin to the line y = -1.3. Since the directrix is a horizontal line, this distance is simply the absolute value of the y-coordinate of the line, which is 1.3 inches. Therefore, the depth of the reflector is approximately 1.3 inches.

4 0
1 year ago
Other questions:
  • Which is the prime number
    8·2 answers
  • Which equation represents a linear function that has a slope of Four-fifths and a y-intercept of –6?
    10·2 answers
  • Need help asap!!<br> analyze the diagram below and answer the question that follows.
    15·1 answer
  • 5th term in expansion of (x-2)^7
    5·1 answer
  • Two choises! Pick the right one!
    7·2 answers
  • Rebecca has 85 ounces of soda in her refrigerator. She drinks exactly 1/5 ounces of soda everyday. At this rate, what is the max
    15·1 answer
  • The perimeter of the rectangle is 28 units.
    8·1 answer
  • the lenght of a rectangular field is twice its breadth. A girl jogged around it 4 times and covered a distance of 4.5 km. what i
    13·2 answers
  • Domain:<br> Range:<br> HELP RQ
    8·1 answer
  • Multiply the Polynomials:<br><br> (2x+3) (-x+2y-4)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!