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wolverine [178]
3 years ago
15

The binomial expansion of (x2 + y)2 is _____

Mathematics
1 answer:
vodka [1.7K]3 years ago
3 0

Answer:

There are some unknown characters in the answer list, so am not certain which letter. However, the expansion of (x^2 + y)^2 is:

x^4 + 2yx^2 + y^2.

Note: Am using the carrot - shift 6 - ^ to denote "to the power of".

Step-by-step explanation:

(x^2 + y)^2 = (x^2 + y) * (x^2 + y)

                  = (x^2 * x^2) + (y*x^2) + (y*x^2) + (y * y)

                  = x^4 + 2yx^2 + y^2

In words the answer is: x to the 4th plus 2 yx squared plus y squared.

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stiks02 [169]

Answer:QB = 1/2 QE

QC = CF

DE = 2AB

Step-by-step explanation: hope it works

8 0
3 years ago
50 points!! Instructions: Find the missing side. Round your answer to the nearest tenth.
postnew [5]

Answer:

16.4 units to the nearest tenth.

Step-by-step explanation:

sin 66 = 15 / x

x *  sin 66 = 15

x = 15 / sin 66

= 16.4196

7 0
2 years ago
Solve the differential equation y prime equals the product of 2 times x and the square root of the quantity 1 minus y squared .
MatroZZZ [7]

Answer:

1. y = sin(x²+C)

2. see below

Step-by-step explanation:

1. \frac{dy}{dx} = 2x\sqrt{1-y^2}

separation of variables

\frac{dy}{\sqrt{1-y^2} } = 2xdx

integration both sides\int\frac{dy}{\sqrt{1-y^2} } = \int2xdx

you should get :

sin^{-1} (y) = x^2+C remember constant of integration!!

2. y = sin(x²+C)

3 = sin(0+C)

y(0) = 3 does not have a solution because our sin graph is not shifted vertically or multiplied by a factor whose absolute value is greater than 1, so our range is [-1,1] and 3 is not part of this range

4 0
4 years ago
Jason designs a rectangular sandbox. He models the perimeter of the sandbox using the expression 8l+2, where l is the length of
inn [45]

Answer:

A   .The expression 2l+2(3l+1) shows the width is 1 more than 3 times the length.

Step-by-step explanation:

p = 8l + 2

Length = l

Width:

2w = p - 2l

2w = (8l + 2) - 2l

2w = 6l + 2

w = 3l + 1

Therefor w is 3 times the length plus 1

7 0
3 years ago
In a pen of goats and chickens, there are 40 heads and 150 feet. How many goats and chickens are in the pen?
s2008m [1.1K]

Hey there!!

A chicken has 1 head and 2 feet . A goat has 1 head and 4 feet

For heads, total = 40

Let us take the number of chickens as ' x ' and goats as ' y '

x + y = 40 ------------- ( 1 )

2x + 4y = 150 ----------- ( 2 )

Multiply the first equation with 2

2x + 2y = 80

2x + 4y = 150

Subtract the first equation from the first

2y = 70

y = 35

Number of goats = 35

substitute this in other equation

x + y = 40

x + 35 = 40

x = 5

Number of chickens are 4

Hope it helps!

6 0
3 years ago
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