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Nadya [2.5K]
3 years ago
11

Expand the polynomials and simplify. (2x+3y)^2

Mathematics
1 answer:
astra-53 [7]3 years ago
6 0

Answer:

4x^2+12xy+9y^2

Step-by-step explanation:

brainliest

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The height of a triangle is 4 m less than its base. the area of the triangle is 48m^2 what is thr length of the base
romanna [79]
Base = x
height = x-4
Area = .5 * height * base
48 = .5 * (x-4) * x
96 = x^2 -4x
x^2 -4x -96=0
x = 12
base = 12
height = 8





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3 years ago
How many pints are in 60 fluid ounces<br><br> Pls help
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Let f(x) be a continuous function such that f(1) = 3 and f '(x) = sqrt( x^3 + 4 ). What is the value of f(5)?
snow_lady [41]

The value of f(5) is 49.1

Step-by-step explanation:

To find f(x) from f'(x) use the integration

f(x) = ∫ f'(x)

1. Find The integration of f'(x) with the constant term

2. Substitute x by 1 and f(x) by π to find the constant term

3. Write the differential function f(x) and substitute x by 5 to find f(5)

∵ f'(x) =  + 6

- Change the root to fraction power

∵  =

∴ f'(x) =  + 6

∴ f(x) = ∫  + 6

- In integration add the power by 1 and divide the coefficient by the

 new power and insert x with the constant term

∴ f(x) =  + 6x + c

- c is the constant of integration

∵

∴ f(x) =   + 6x + c

- To find c substitute x by 1 and f(x) by π

∴ π =   + 6(1) + c

∴ π =  + 6 + c

∴ π = 6.4 + c

- Subtract 6.4 from both sides

∴ c = - 3.2584

∴ f(x) =   + 6x - 3.2584

To find f(5) Substitute x by 5

∵ x = 5

∴ f(5) =   + 6(5) - 3.2584

∴ f(5) = 49.1

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3 years ago
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Varvara68 [4.7K]
The perimeter will be
.. P = 2√(16^2 +30^2) = 2*34 = 68
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3 years ago
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To which subset(s) of real numbers does the number -4 belong? Choose all that apply Irrational numbers Integers Whole numbers Na
egoroff_w [7]

Answer:

The answer is: Integers, and Rational Numbers.

Step-by-step explanation:

7 0
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