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
olchik [2.2K]
3 years ago
5

polygon B is a scaled copy of Polygon A using a scale factor of 5. how many times as large is the area of polygon B compared to

the area of polygon A?
Mathematics
1 answer:
julsineya [31]3 years ago
5 0

Answer:

  25 times

Step-by-step explanation:

The area is scaled by the square of the linear scale factor.

The area of polygon B is 5² = 25 times as large as the area of polygon A.

You might be interested in
I need to know 7 8 9 10 11
icang [17]
I think #7 is 40
#9 is 300
5 0
4 years ago
Find a factorization of x² + 2x³ + 7x² - 6x + 44, given that<br> −2+i√√7 and 1 - i√/3 are roots.
Levart [38]

A factorization of x^4+2x^3+7x^2-6x+44 is (x^2+4x+11)(x^2-2x+4).

<h3>What are the properties of roots of a polynomial?</h3>
  • The maximum number of roots of a polynomial of degree n is n.
  • For a polynomial with real coefficients, the roots can be real or complex.
  • The complex roots of a polynomial with real coefficients always exist in a pair of conjugate numbers i.e., if a+ib is a root, then a-ib is also a root.

If the roots of the polynomial p(x)=ax^4+bx^3+cx^2+dx+e are r_1,r_2,r_3,r_4, then it can be factorized as p(x)=(x-r_1)(x-r_2)(x-r_3)(x-r_4).

Here, we are to find a factorization of p(x)=x^4+2x^3+7x^2-6x+44. Also, given that -2+i\sqrt{7} and 1-i\sqrt{3} are roots of the polynomial.

Since p(x)=x^4+2x^3+7x^2-6x+44 is a polynomial with real coefficients, so each complex root exists in a pair of conjugates.

Hence, -2-i\sqrt{7} and 1+i\sqrt{3} are also roots of the given polynomial.

Thus, all the four roots of the polynomial p(x)=x^4+2x^3+7x^2-6x+44, are: r_1=-2+i\sqrt{7}, r_2=-2-i\sqrt{7}, r_3=1-i\sqrt{3}, r_4=1+i\sqrt{3}.

So, the polynomial p(x)=x^4+2x^3+7x^2-6x+44 can be factorized as follows:

\{x-(-2+i\sqrt{7})\}\{x-(-2-i\sqrt{7})\}\{x-(1-i\sqrt{3})\}\{x-(1+i\sqrt{3})\}\\=(x+2-i\sqrt{7})(x+2+i\sqrt{7})(x-1+i\sqrt{3})(x-1-i\sqrt{3})\\=\{(x+2)^2+7\}\{(x-1)^2+3\}\hspace{1cm} [\because (a+b)(a-b)=a^2-b^2]\\=(x^2+4x+4+7)(x^2-2x+1+3)\\=(x^2+4x+11)(x^2-2x+4)

Therefore, a factorization of x^4+2x^3+7x^2-6x+44 is (x^2+4x+11)(x^2-2x+4).

To know more about factorization, refer: brainly.com/question/25829061

#SPJ9

3 0
2 years ago
Read 2 more answers
Need help with this shape
NISA [10]
It is a quadrilateral
4 0
4 years ago
How many 2-liter bottles of soda will you need to fill ten 500 milliliter containers?
Eva8 [605]

Answer:

2.5 bottles

Step-by-step explanation:

10 * 500 ml = 5000 ml

5000 ml = 5 l

5/2 = 2.5

7 0
3 years ago
Help my semester ends in 17 hours
Nata [24]
Find the lengths of the sides. Determine how long a right triangle side lengths are.
4 0
2 years ago
Other questions:
  • I cannot understand this AT ALL. for some reason..help?
    15·1 answer
  • One month Dale rented 8 movies and 4 video games for a total of $49. The next month he rented 3 movies and 2 video games for a t
    12·2 answers
  • My question is $24.53 + a 18% tip
    13·1 answer
  • Four more than three times a number is greater than twenty-two
    8·1 answer
  • PLEASE ANSWER!<br> I need asap
    11·1 answer
  • Jason is a skilled rapper. He has already rapped a 40-word intro to a song and continues to rap 5 words per second.
    13·1 answer
  • The choices are the same for both.
    13·2 answers
  • Find prime factorizations of 3,210 and 3,528. <br><br> Show your work.
    8·2 answers
  • In this question you are not allowed to use a calculator. Show all yo calculations. 6.1 Calculate: -24
    6·1 answer
  • Which lines are perpendicular to 3x – y = 10? Select all that apply. A. y = 3x + 5 B. y = –13x + 17 C. x + 3y = 27 D. y – 2 = 13
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!