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3 years ago

Expand completely using the Binomial Theorem (3y - x)^4

Mathematics

1 answer:

AleksAgata [21]3 years ago

4 0

Answer:

In standard form it is x^4 - 12x^3y + 54x^2y^2 - 108x y^3 + 81y^4.

Step-by-step explanation:

(3y)^4 + 4C1(3y)^3(-x) + 4C2(3y)^2(-x)^2 + 4C3(3y)(-x)^3 + (-x)^4

= 81y^4 - 108y^3x + 54y^2x^2 - 12yx^3 + x^4

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Find the distance between these points. A(5,8), B(-3,4)

konstantin123 [22]

Answer:

Distance between the points is 8.94 units

Step-by-step explanation:

General formula:

${ \boxed{ \bf{distance = \sqrt{ {(x_{1} - x _{2} )}^{2} + {(y _{1} - y _{2} ) }^{2} } }}}$

substitute:

${ \sf{ = \sqrt{ {(5 - ( - 3))}^{2} + {(8 - 4)}^{2} } }} \\ = { \sf{ \sqrt{64 + 16} }} \\ = { \sf{ \sqrt{80} }} \\ = 8.94 \: units$

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3 years ago

Read 2 more answers

Which of the following comparisons is correct? -2 2 4<−4 −6< −5

zlopas [31]

<h3>Answer: Choice D) -6 < -5</h3>

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Explanation:

Let's go through the answer choices

A) This is false because -2 is actually larger than -5. Make a number line and you'll see that -2 is to the right of -5. Numbers on the right are larger than numbers on the left.
B) This is also false. The value 0 is smaller than 2. A number line might help show this.
C) Also false. It should be 4 > -4. Any positive number is always larger than any negative number.
D) This is true. On a number line, -6 is to the left of -5, so -6 is smaller than -5. This makes -6 < -5 a true statement.

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3 years ago

FIND THE GCF. Mathematics

Rom4ik [11]

The G.C.F of the given algebraic expression is; ⁴⁹/₆a xy

<h3>What is the G.C.F (Greatest Common Factor)?</h3>

The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.

We are given the algebraic expression;

(3 x y * 4x²y * ¹/₁ * 5x³y ^ z * 4)7a * 1/1 * 7*6

Expanding this further gives;

⁴⁹/₆a((3xy * 4x²y * 20x³y ^ z )

Now, the GCF of the terms inside the bracket would be x y. Thus, expanding the GCF we have;

⁴⁹/₆a xy((3 * 4x * 20x²y^(z - 1))

Read more about G.C.F at; brainly.com/question/219464

#SPJ1

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2 years ago

Donovan reaches into a jar containing 6 red marbles, 3 blue marbles, 4 yellow marbles, and 5 green marbles,

vredina [299]

12 out of 18. This is because there is 6 red marbles and 18 of them all together. The question states the probability of the red marble NOT being chosen therefore you need to take away 6 from 18 leaving you with 12. I hope this made sense :)

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3 years ago

What is the area of the shaded region 1cm is in the middle

Archy [21]

Answer:

Area of the shaded region= $128.86\,cm^2$