<img src="https://tex.z-dn.net/?f=%5Csqrt%7B12%7D%5C%3A%5Ctimes%20%5Csqrt%7B12%7D%5C%3A" id="TexFormula1" title="\sqrt{12}\:\tim

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kipiarov [429]

3 years ago

es \sqrt{12}\:" alt="\sqrt{12}\:\times \sqrt{12}\:" align="absmiddle" class="latex-formula">

Mathematics

2 answers:

ddd [48]3 years ago

8 0

Answer:

144

your welcome :)

pychu [463]3 years ago

3 0

0.4444 or 4/9

the square root of 12 is 2/3 so you multiply 2/3 by 2/3 and get 4/9

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Which number has a value of 800,000,000

Igoryamba

A.890,380,986 of the value

4 0

3 years ago

Factor:

nekit [7.7K]

Answer:

a) $(7\cdot m^{6}+4)\cdot (7\cdot m^{6}-4)$

b) $(7\cdot a\cdot b^{8}+1)\cdot (7\cdot a\cdot b^{8}-1)$

c) $a = 0.7\cdot t^{9}$

d) There are two possible answers only considering real coefficients:

(i) $16\cdot x^{2}-81 = (4\cdot x +9)\cdot (4\cdot x - 9)$

(ii) $14\cdot x^{2}-81 =(\sqrt{14}\cdot x+9)\cdot (\sqrt{14}\cdot x - 9)$

e) $(a^{3}+4)\cdot (a^{3}-4)$

Step-by-step explanation:

Now we proceed to solve each algebraic equation:

a) Factor $49\cdot m^{12}-16$

This binomial is of the form $a^{2}-b^{2} = (a+b)\cdot (a-b)$ . In this case, we can rewrite and factor the equation below:

$49\cdot m ^{12}-16$

$(7\cdot m^{6})^ 2-4^{2}$

$(7\cdot m^{6}+4)\cdot (7\cdot m^{6}-4)$

b) Factor $49\cdot a^{2}\cdot b^{16}-1$

This binomial is of the form $a^{2}-b^{2} = (a+b)\cdot (a-b)$ . In this case, we can rewrite and factor the equation below:

$49\cdot a^{2}\cdot b^{16}-1$

$(7\cdot a\cdot b^{8})^{2}-1^{2}$

$(7\cdot a\cdot b^{8}+1)\cdot (7\cdot a\cdot b^{8}-1)$

c) Nicole is factoring $0.49\cdot t^{18}-25$ by using the rule $a^{2}-b^{2} = (a+b)\cdot (a-b)$ . What will she use for the value of $a$ ?

From this rule we find that $a^{2} = 0.49\cdot t^{18}$ , that is:

$a^{2} = 0.49\cdot t^{18}$

$a^{2} = \frac{49}{100}\cdot t^{18}$

$a = \frac{7}{10}\cdot t^{9}$

$a = 0.7\cdot t^{9}$

d) Which binomial is a difference of squares?

A binomial is a difference of square if and only if $a^{2}-b^{2} = (a+b)\cdot (a-b)$ . There are two possible answers only considering real coefficients:

(i) $16\cdot x^{2}-81 = (4\cdot x +9)\cdot (4\cdot x - 9)$

(ii) $14\cdot x^{2}-81 =(\sqrt{14}\cdot x+9)\cdot (\sqrt{14}\cdot x - 9)$

e) Factor $a^{6}-16$

This binomial is of the form $a^{2}-b^{2} = (a+b)\cdot (a-b)$ . In this case, we can rewrite and factor the equation below:

$a^{6}-16$

$(a^{3})^{2}-4^{2}$

$(a^{3}+4)\cdot (a^{3}-4)$

6 0

3 years ago

Solve x^2 4x − 12 = 0. x = 2, x = −6 x = −2, x = −6 x = 3, x = −4 x = −3, x = 4

Svetlanka [38]

I hope this helps you

7 0

3 years ago

How would you find the vertex for the following function<br><br> y = x ² + 4 + 3

Virty [35]

You would rewrite in standard form and use use (h, k) to find the vertex.

The vertex is (0,7) is you ask.

7 0

4 years ago

how much cardboard would you need to construct a rectangular prism shaped box measuring 15 inches by 13 inches by 7 inches

givi [52]

We know that

[surface area]=2*[area of the base]+[perimeter of the base]*height

area of the base=15*13----> 195 in²

perimeter of the base=2*[15+13]----> 56 in
height=7 in
so
[surface area]=2*[195]+[56]*7-----> 782 in²

the answer is
782 in²

6 0

3 years ago