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
11111nata11111 [884]
3 years ago
11

A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be repres

ented by a perfect square model
x2 – 6x + 9

x2 – 2x + 4

x2 + 5x + 10

x2 + 4x + 16
Mathematics
2 answers:
olchik [2.2K]3 years ago
5 0
From the given options, x^2 - 6x + 9 = (x - 3)^2 is a perfect square.
nikdorinn [45]3 years ago
5 0

Answer:

  Option A is the correct answer

Step-by-step explanation:

For a perfect square quadratic equation discriminant b²-4ac is zero.

<u>Option A</u>

    x²-6x+9, a = 1 , b = -6 and c = 9

    b²-4ac = 36 - 4 x 1 x 9 = 0

    Correct answer.

<u>Option B</u>

    x²-2x+4, a = 1 , b = -2 and c = 4

    b²-4ac = 4 - 4 x 1 x 4 = -12

    Wrong answer.

<u>Option C</u>

    x²+5x+10, a = 1 , b = 5 and c = 10

    b²-4ac = 25 - 4 x 1 x 10 = -15

    Wrong answer.

<u>Option D</u>

    x²+4x+16, a = 1 , b = 4 and c = 16

    b²-4ac = 16 - 4 x 1 x 16 = -48

    Wrong answer.

You might be interested in
Please help me!!!<br> Will give 100 points.<br> Will give BRAINILEST
Oksana_A [137]

Step-by-step explanation:

The shape of the new pizza must meet the conditions:

  • Be an irregular polygon (different sides and/or angles).
  • Have at least five sides.
  • Have the approximately the same area as a 14" diameter circle.
  • Fit in a 14⅛" × 14⅛" square.
  • Be divisible into 8-12 equal pieces.

For simplicity, I will choose a polygon with 5 sides (a pentagon), and I will use 2 right angles (a "house" shape).

Split the pentagon into a rectangle on bottom and triangle on top.  If we cut the rectangle into 8 pieces like a regular pizza, and the triangle in half, we get 10 triangles.

Now we just need to figure out the dimensions.  The area of a 14" circular pizza is:

A = πr²

A = π (7 in)²

A ≈ 154 in²

That means the area of each triangle slice needs to be 15.4 in².  If we make the total width of the pentagon 14", then the width of each triangle is 7", and the height of each triangle is:

A = ½ bh

15.4 in² = ½ (7 in) h

h = 4.4 in

Which makes the total height of the pentagon 3h = 13.2 in.

So, our 13.2" × 14" pentagon has at least 5 sides, is irregular, has the same area as a 14" diameter circle, fits in a 14⅛" × 14⅛" square, and can be divided into 8-12 equal pieces.

Of course, there are many possible solutions.  This is just one way.

3 0
3 years ago
Read 2 more answers
Three more than the product of two and a number x
Nonamiya [84]

2x+3

You are taking two times a number, which is defined as x. That is equivalent to 2x. Then, you are adding three more to that product.

3 0
3 years ago
Read 2 more answers
What times what equals -18
photoshop1234 [79]

-1 x 18 = 18

-2 x 9 = 18

-3 x 6 = 18

-6 x 3 = 18

-9 x 2 = 18

-18 x 1 = 18

Hope this helped!

Nate

7 0
3 years ago
Evaluate ab+3b-a-5ab+2b if a= -3 and b=2
Paha777 [63]
Replace all variables in the given equation with the given values.

-6+6+3+30+4

Answer: 37
4 0
3 years ago
Find the area of the circle. Round your answer to the nearest hundredth.<br> 3 in.
Vilka [71]

Answer:

28.27 in²

Step-by-step explanation:

The area of a circle is dependent on only one variable:  the radius:

A = πr²

If the radius is 3 inches, as you seem to indicate, then:

A = π(3 in)² = 9π in²  = 28.27 in²

7 0
2 years ago
Other questions:
  • What the GCF to 100 and 16
    6·2 answers
  • 8/25 write as a percent
    8·1 answer
  • Six less than twice a number is -22
    5·1 answer
  • Which expressions are equivalent to log(3)3+log(3)27? A. Log10 B. 4 C. Log(3)81 D. Log3(3^4)
    6·1 answer
  • A certain bacteria is growing at a rate of 4 percent each day. If the culture of bacteria has 5,000 bacteria today, how many bac
    6·2 answers
  • What fraction is a multiple of1/9
    13·2 answers
  • Three-sevenths of a number is 21. Find the number.
    15·2 answers
  • Plzz help me quick look at both pics and tell me the correct answer
    11·2 answers
  • If -2 and 3 are zeroes of quadratic polynomial xsquare + (a+1)x+b then find the value of and b
    12·1 answer
  • H(x)=-x^2+10x-16 What is the height of the ball at the time it is thrown
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!