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3 years ago

15

Factor completely 16x^2+40x+25

2 answers:

Alex17521 [72]3 years ago

4 0

Answer:

Hence, the factor of given algebraic equation:

$16x^2+40x+25$ is:

$(4x+5)^2=(4x+5)(4x+5)$

Step-by-step explanation:

<em>" To factor an algebraic equation means to represent it in the most simplest form "</em>

Here we are given an algebraic equation as:

$16x^2+40x+25$

Now this algebraic equation could also be represented as:

$16x^2+40x+25=(4x)^2+2\times (4x)\times 5+5^2\\\\16x^2+40x+25=(4x+5)^2$

Hence, the factor of the given algebraic equation:

$16x^2+40x+25$ is:

$(4x+5)^2=(4x+5)(4x+5)$

Trava [24]3 years ago

3 0

Answer:

(4x+5)(4x+5)

Step-by-step explanation:

We have given an expression.

16x²+40x+25

We have to find the factor of given expression.

We use following formula to solve this:

a²+2ab+b² = (a+b)²

In given expression, a² = 4x² and b² = 25

Applying formula, we have

(4x)²+2(4x)(5)+(5)²

(4x+5)²

(4x+5)(4x+5)

Hence, the factors of give expression are (4x+5) and (4x+5).

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Find the area<br> 10<br> 7<br> 12<br> 4<br> 5<br> 5

taurus [48]

Answer:

${ \tt{area = (7 \times 10) + (12 \times 4) + (5 \times 5)}} \\ { \tt{ = 70 + 48 + 25}} \\ { \tt{ = 143 \: {in}^{2} }}$

6 0

3 years ago

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Volumes of the solids with disk or shell method?

lina2011 [118]

The answer to the questions of volumes are given as follows

a) $v=128 \pi$

b) $v=\frac{128}{3} \pi$

c) $v=\frac{1024}{5} \pi$

d) $V=\frac{13568}{15} \pi$

Generally, the questions are mathematically solved below

$y=\sqrt{x}, y=4, x=0$

a) x-axis

if $y=4, x=16, x=0$

Using disk method

$} v=\pi \int_{0}^{16}(\sqrt{x})^{2} d x \\$

$v=\pi\left(\frac{x^{2}}{2}\right)_{0}^{16} \\$

$v=\frac{\pi}{2} \times 16 \times 16 \\$

$v=128 \pi$

b) line y=4

if x=0, y=0 ;

$y=\sqrt{x} \Rightarrow x=y^{2}$

Using shell method

$v = \int_{0}^{4} 2 \pi(4-y) \cdot y^{2} d y \\$

$v=2 \pi \int_{0}^{4}\left(4 y^{2}-y^{3}\right) d y$

$v=2 \pi\left[\frac{4 y^{3}}{3}-\frac{y^{4}}{4}\right]_{0}^{4} \\$

$v=\frac{2 \pi}{12}[1024-768] \\$

$v=\frac{512 \pi}{12} \\$

$v=\frac{128}{3} \pi$

c) y-axis

0 ≤ y ≤ 4

x=y^2

Using disk method

volume

$v=\pi \int_{0}^{4} y^{4} d y$$

$v=\pi\left(\frac{y 5}{5}\right)_{0}^{4} \\$

$v=\frac{1024}{5} \pi$

d) line x=-1

y=√x, y=4, x=0

0 ≤ x ≤ 6

Using shell method

volume is

$V=\int_{0}^{16} 2 \pi(1+x) \sqrt{x} d x$$

$V=2 \pi\int_{0}^{16}(x^{1 / 2}+x^{3 / 2}\right) )d x\right. \\$

$V=2 \pi\left[\frac{x^{3 / 2}}{3 / 2}+\frac{x^{5 / 2}}{5 / 2}\right]_{0}^{16} \\$

$V=2 \pi\left[2 / 3 \cdot\left(4^{2}\right)^{3 / 2}+2 / 5\left(4^{2}\right)^{5 / 2}\right] \\$

$V=4 \pi / 3 \cdot 4^{3}+4 \pi / 5 \cdot 4^{5} \\$

$V=4 \pi\left(\frac{1}{3}+\frac{4^{2}}{5}\right)$

$V=\frac{256}{15}(5+48) \pi \\$

$V=\frac{256 \times 53}{15} \pi \\$

$V=\frac{13568}{15} \pi$

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8 0

2 years ago

Help Please ill give branliest.

sergeinik [125]

Answer:

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Step-by-step explanation:

8 0

3 years ago

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Please help me I need help

yarga [219]

Answer:

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Step-by-step explanation:

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2 years ago

What is the volume of a right circular cylinder with a base diameter of 6 m and a height of 5 m?

lys-0071 [83]

If the diameter of it is 6, then its radius is half that.

$\bf \textit{volume of a right circular cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\
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r=3\\
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4 years ago

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