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3 years ago

Use the Binomial Theorem to expand each binomial (5x-4y)^3

1 answer:

5 0

You should know that:

(a+b)(a+b)(a+b)

=a(a+b)(a+b)+b(a+b)(a+b)

=a(a²+2ab+b²)+b(a²+2ab+b²)

=a³+2a²b+ab²+a²b+2ab²+b³

=a³+3a²b+3ab²+b³

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If a=5x and b=-4y

(5x+(-4y))³

=(5x-4y)³

=(5x)³+3(5x)²(-4y)+3(5x)(-4y)²+(-4y)³

=125x³+3(25x²)(-4y)+15x(16y²)-64y³

=125x³+75x²(-4y)+240xy²-64y³

=125x³-300x²y+240xy²-64y³

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Someone solve this for me pls

sladkih [1.3K]

<h2>Answer:-</h2>

$\pink{\bigstar}$ The measure if ∠x $\large\leadsto\boxed{\tt\purple{43^{\circ}}}$

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• To Find:-

Measure of $\angle$ x

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<h3>• Solution:-</h3>

The given angles are made by a straight line. We know that the total angle made by a straight line is 180°.

Therefore, all the angles should sum upto 180°.

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• Working:-

➪ $\sf (x + 31^{\circ}) + (x + 20^{\circ}) + (x) = 180^{\circ}$

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➪ $\sf x + 31^{\circ} + x + 20^{\circ} + x = 180^{\circ}$

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➪ $\sf 3x + 51^{\circ} = 180^{\circ}$

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➪ $\sf 3x = 180^{\circ} - 51^{\circ}$

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➪ $\sf 3x = 129^{\circ}$

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➪ $\sf x = \dfrac{129}{3}$

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★ $\large{\bold\red{x = 43^{\circ}}}$

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Therefore, the measure of the ∠x is 43°.

5 0

3 years ago

Which is equation in point slope form for the given point and slope. Point5,9 slope2

Sedbober [7]

Answer: y - 9 = 2(x - 5)

Step-by-step explanation:

Point slope form: y - y1 = m(x - x1)

substitute 5 for x1 and 9 for y1 and 2 for m

x1 = 5

y1 = 9

m = 2

you get y - 9 = 2(x - 5)

4 0

3 years ago

Read 2 more answers

Quality control finds on average that 0.026% of the items from a certain factory are detective. One month, 4000 items are checke

telo118 [61]

Given that 4000 items are checked in one month, let the number of detective items be represented as y.

Quality control finds on average that 0.026% of the items in the factory are detective. This implies that

$\text{Number of }\det ective\text{ items = }\frac{\text{0.026}}{100}\times\text{Total number of items checked}$

When 4000 items are checked, we have the number of detective items to be evaluated as

$\begin{gathered} \text{Number of }\det ective\text{ items = }\frac{\text{0.026}}{100}\times\text{Total number of items checked} \\ y=\frac{0.026}{100}\times4000 \\ \Rightarrow y=1.04 \end{gathered}$

Hence, the number of detective items is 1.04.

7 0

1 year ago

The answer I need this answer emergency pls help

HACTEHA [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

Solve the quadratic equations

Alexxx [7]

Answer:

for quadratic equation 1

y^2-10y+21=0

Step-by-step explanation:

y^2-7y-3y+21=0

y(y-7)-3(y-7)=0

(y-7)(y-3)=0

y-7=0,y-3=0

y=7,y=3

y=(3,7)

for quadratic equation 2

16p^2-8p+1=0

16p^2-4p-4p+1=0

4p(4p-1)-1(4p-1)=0

(4p-1)twice=0

4p-1=0,4p-1=0

4p=1

p=1/4 twice

for quadratic equation 3

x^2-400=0

x^2=400

x=√400

x=20

for quadratic equation 4

-16m^2-8m-1=0

multiply the equation by -

16m^2+8m+1=0

16m^2+4m+4m+1=0

4m(4m+1)1(4m+1)=0

4m+1=0 twice

m=-1/4 twice

for quadratic equation 5

-3n^2+75=0

divide both side by -3

-3n^2/-3=-75/-3

n^2=25

n=√25

n=5

6 0

2 years ago