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2 years ago

Find a, b, and n of the factored form of the binomial expansion.

Mathematics

1 answer:

poizon [28]2 years ago

3 0

Step-by-step explanation:

A is the 1st term

B is the last term

N is the power of the binomial

n=4 since the greatest power is 4

By finding the 4th root of the 1st and the last term as shown in the attached files

We can find the binomial

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A custom rectangular tabletop has a length that is twice it’s width, and the tabletop measures 76 inches on its diagonal. What a

Sunny_sXe [5.5K]

Answer:

<em>The dimensions of the tabletop: Length= 67.976... inches and Width= 33.988... inches and the perimeter will be 203.929... inches.</em>

Step-by-step explanation:

Suppose, the width of the rectangular tabletop is $x$ inch.

As the tabletop has a length that is twice it’s width, so the length will be: $2x$ inch.

The tabletop measures 76 inches on its diagonal.

<u>Formula for length of diagonal of rectangle</u>: $d=\sqrt{l^2+w^2}$

So, the equation will be..........

$76=\sqrt{(2x)^2+ x^2}\\ \\ 76=\sqrt{4x^2+x^2} \\ \\ 76=\sqrt{5x^2} \\ \\ 5x^2= 76^2= 5776\\ \\ x^2= \frac{5776}{5}=1155.2 \\ \\ x= \sqrt{1155.2} =33.988...$

Thus, the width of the tabletop is 33.988... inches and the length will be: (2×33.988...) = 67.976... inches.

The perimeter will be: 2(33.988...+ 67.976...) inches = 203.929... inches.

5 0

2 years ago

Combine like terms 2x - 3 - 2y - 4x + 2y + 5

labwork [276]

Answer:

-2x + 2

Step-by-step explanation:

2x - 3 - 2y - 4x + 2y + 5

2x - 4x + 2y - 2y + 5 - 3

-2x + 2

3 0

2 years ago

In trapezoid ABCD, AC is a diagonal and ∠ABC≅∠ACD. Find AC if the lengths of the bases BC and AD are 12m and 27m respectively.

xz_007 [3.2K]

Answer:

Length of diagonal is 18 m

Step-by-step explanation:

Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.

Let the length of diagonal be x m

In ΔABC and ΔACD

∠ABC=∠ACD (∵Given)

∠ACB=∠CAD (∵Alternate angles)

By AA similarity theorem, ΔABC~ΔACD

∴ their corresponding sides are proportional

$\frac{x}{27}=\frac{12}{x}=\frac{AB}{CD}$

Comparing first two, we get

⇒ $\frac{x}{27}=\frac{12}{x}$

⇒ $x^2=27\times 12$

⇒ $x=\sqrt324=18$

hence, the length of diagonal is 18 m

4 0

2 years ago

Which quadratic function is best represented by this graph?

11Alexandr11 [23.1K]

? Pick one graph

Step-by-step explanation:

There's no graph visible

f(x) is the same as y

Hope this helps!

4 0

2 years ago

Combine the like terms 4x^2+4x+7x^2

Lostsunrise [7]

Answer:

Step-by-step explanation:

4x^2 + 7x^2 = 11x^2 Nothing else combines.

Answer: 11x^2 + 4x

x by itself is not similar in any way to x^2

8 0

3 years ago

Read 2 more answers