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2 years ago

Which set of coefficients of the terms in the Expansion of the binomial (x+y)^3 is correct?

Mathematics

1 answer:

lora16 [44]2 years ago

3 0

A is correct.

Why? After opening the brackets we can see the equation as $x^{3} + 3x^{2}y + 3y^{2}x + y^{3}$

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If this necklace is $14.95 how much is 3 more added

FromTheMoon [43]

Answer:

14.95*3=what

Step-by-step explanation:

that's your answer

4 0

3 years ago

The graph of f (x)= x² has been translated 4 units down.

weeeeeb [17]

Answer:

the new equation is f(x)=x^2-4

vertex- (0,-4)

zeros- (-2,2)

y-intercept- (-4)

and it has a minimum

Step-by-step explanation:

4 0

3 years ago

Which expression converts 8 radians to degrees? 8 times pi 8 times StartFraction pi Over 180 degrees EndFraction 8 times 180 deg

tensa zangetsu [6.8K]

Answer:

The expression that converts 8 radians to degree is: degrees = (8 rad)*180/pi

Step-by-step explanation:

To convert any number from radians to degrees we must use the equation below:

degrees = radians*180/pi

Therefore to convert 8 radians to degree we need to apply this value to the formula above:

degrees = 8*180/pi

degrees = 1440/pi

degrees = 458.366º

The expression that converts 8 radians to degree is: degrees = (8 rad)*180/pi

4 0

3 years ago

Read 2 more answers

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

3 years ago

A car manufacturer builds trucks and cars both in red, blue, and green colors. Let B represent the set of all red vehicles produ

telo118 [61]

Answer:

Step-by-step explanation:

The universal set, U is a set of all vehicles produced by the manufacturer.

U = red, blue and green vehicles(both cars and trucks)

B = all red vehicles produced by the manufacturer(both cars and trucks)

C = red, blue and green trucks

C ' = all elements that are not in C but are in the universal set

C ' = red, blue and green cars

B intersection C ' = all elements that are common to set B and set C '. Therefore,

B intersection C ' = red cars

5 0

3 years ago