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Bad White [126]
3 years ago
9

2(length + width). What is the perimeter, in units, of a rectangle of length fraction 1 over 3 unit and width fraction 1 over 2

unit?
Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0

Answer:

<u>1 and 2/3</u>

Step-by-step explanation:

If

length = 1/3     and width= 1/2

then the equation will look like this,

2(1/3+1/2)

1/3+1/2= 5/6

2(5/6)=<u> 1 and 2/3</u>

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The wall, shown above in Figure 105.1401, has an overall length that is 37’ and 8 1/4" . Three receptacle outlets are to be inst
jek_recluse [69]

Answer:

simplier

Step-by-step explanation:

8 0
2 years ago
Graph f(x) = 5x - 45
kakasveta [241]
Y= 5x-45

On your graph go by 5's
On the y go down 9 which going by 5 makes it -45
Then go up 5 and one to the right and plot points keep going. 25/5=5
8 0
3 years ago
Read 2 more answers
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
1 year ago
Read 2 more answers
50 pounds to 35 pounds percentage of change
iVinArrow [24]

Answer:

30%

Step-by-step explanation:

<h2><u>Percentage change </u></h2><h3>formula :</h3>

\frac{change}{origional} * 100

= 50 - 35 = 15

= \frac{15}{50}*100\\

<h3>= 30 %</h3>
4 0
3 years ago
Can someone help me with this problem, please?
Masja [62]

Answer:

Length = 2 ft

Width = 7/4 ft = 1.75 ft

Step-by-step explanation:

Length of room on blueprint = 1/8 *16 = 2 ft

Width of room on blueprint = 1/8 *14 = 7/4 ft = 1.75 ft

8 0
3 years ago
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