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Alika [10]
3 years ago
8

Replace ∗ with a monomial so that the trinomial may be represented by a square of a binomial: b2 + 20b +*

Mathematics
1 answer:
mario62 [17]3 years ago
5 0

Given:

The expression is:

b^2+20b

To find:

The a monomial so that the trinomial may be represented by a square of a binomial.

Solution:

If an expression is x^2+bx, then be need to add square of half of coefficient of x, i.e., \left(\dfrac{b}{2}\right)^2 in the given expression to make in perfect square.

We have,

b^2+20b

Here, coefficient of b is 20,so wee need to add square of half of coefficient of b, i.e., \left(\dfrac{20}{2}\right)^2.

\left(\dfrac{20}{2}\right)^2=10^2

\left(\dfrac{20}{2}\right)^2=100

Therefore, we need to add 100 to make b^2+20b a perfect square binomial.

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3 years ago
Find ∫x√(1-x)dx<br>please someone help me​ ​
spin [16.1K]

Answer:

⅖ (1 − x)^(5/2) − ⅔ (1 − x)^(3/2) + C

Step-by-step explanation:

∫ x√(1 − x) dx

If u = 1 − x, then x = 1 − u, and dx = -du.

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∫ (u − 1) √u du

∫ (u^(3/2) − u^(1/2)) du

⅖ u^(5/2) − ⅔ u^(3/2) + C

⅖ (1 − x)^(5/2) − ⅔ (1 − x)^(3/2) + C

4 0
3 years ago
Does somebody knows how to do this?
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Answer:

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now find semicircle then add

area of the semicircle= πr²/2=π6²/2=36π/2=18π

now add and you get

Area of the region = (18π+9)cm²

Step-by-step explanation:

5 0
3 years ago
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