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prisoha [69]
3 years ago
5

The volume of a barn is given by the formula V = = r2h.

Mathematics
1 answer:
HACTEHA [7]3 years ago
4 0

Answer:

it is what it is take a guess

Step-by-step explanation:

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Answer:27000Step-by-step explanation:interest= principal×rate×time÷ 100=270000×5×2÷100=27000

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#19<br> The distance between the points (4, 1) and (9, 1) is
kirill115 [55]

Hello!

Given the two points, (x_{1}, y_{1}) and (x_{2}, y_{2}), and to find the distance between these two points is found by using the formula:

d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}

(x_{1}, y_{1}) is assigned to one the points, in this case, is (4, 1).

(x_{2}, y_{2}) is assigned to other point, which is (9, 1).

Then, plug in these values into the formula and solve.

d = \sqrt{(9-4)^{2}-(1-1)^{2}}

d = \sqrt{5^{2}-0^{2}}

d = \sqrt{25}

d = 5

Therefore, the distance between the two points is 5.

4 0
3 years ago
For the girl to lift this rock, she must push down with a force _____.
suter [353]

Answer:

B.

Step-by-step explanation:

B. The girl would have to use less force because she is using a simple machine, or a lever. The lever makes it easier to lift the rock because the rock is closer to the fulcrum.

4 0
3 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
1 year ago
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