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AVprozaik [17]
3 years ago
9

Simplify the radical - 160

Mathematics
1 answer:
son4ous [18]3 years ago
7 0
√
160
simplifies to 4
√
10
.
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Answer:

31.581 grams rounded to the nearest tenth is 31.6

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Which products result in a perfect square trinomial? Select three options.
Kazeer [188]

Answer:

Second option: (xy+x)(xy+x)

Third option: (2x-3)(-3+2x)

Fifth option: (4y^2+25)(25+4y^2)

Step-by-step explanation:

By definition, a perfect square trinomial can be obtained by squaring binomials.

Then:

(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2\\\\(a-b)^2=(a-b)(a-b)=a^2-2ab+b^2

Knowing this, to obtain a perfect square trinomial, the binomials that you multiply must be equals.

Therefore, the products result in a perfect square trinomial are:

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

(2x-3)(-3+2x)=(2x-3)^2=(2x)^2-2(2x)(3)+3^2=4x^2-12x+9

(4y^2+25)(25+4y^2)=(4y^2+25)^2=(4y^2)^2+2(4y^2)(25)+25^2=16y^4+200y^2+625

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Can’t figure out how to figure out the diameter from the area..... Btw look at the image
julia-pushkina [17]

Answer:

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Step-by-step explanation:

Given:  the area of the slice is 4 in^2.

The formula for the area of a circle is A = (pi)(r)^2, where r is the radius.

Therefore,

A = 4 in^2 = (pi)(r^2), or

   

         4 in^2

r^2 = ------------ = 1.273

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Since the area of the slice is A = (pi)(r^2), and since (d/2)^2 = r^2 = d^2/4

A =  (4 in^2) = (pi)(d^2 / 4)

Solving for d^2, we divide both sides by pi/4, obtaining:

4 in^2

---------- = d^2  = 5.093 in^2

 pi/4

and so d = √5.093 = 2.26 in (to the nearest 100th)

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