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Natasha_Volkova [10]

2 years ago

8

Sam built a fence that was 54 feet long she built the same length of fence each day for 6 days how many inches of fence did Sam

built each day

1 answer:

finlep [7]2 years ago

4 0

Answer:

9 inches each day.

Step-by-step explanation:

54 inches divided into 6 days equals 9 in each day

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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

2 years ago

Common factor of 54z^3 and 18z and 36z^2

likoan [24]

Answer:

18z

Step-by-step explanation:

The highest common factor of 54, 18 and 36 is 18

The highest common factor of z³, z and z² is z

The highest common factor of 54z³, 18z and 36z²

is therefore 18z

6 0

3 years ago

Explain how to find the square root of 100. Explain why you use the underlined + sign.

finlep [7]

Answer:

±10

Step-by-step explanation:

so what squared is 100?

10. but also -10.

10*10 = 100, and -10*-10 is also 100.

therefore, sqrt(100) has two solutions, which are positive or negative 10, and that's the application of ±.

7 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7B2%7D%20%20%5Ctimes%20%20%7B2%7D%5E%7B3%7D%20%20%20%5Cdiv%20%20%7B2%7D%5E%7B4%7

vodka [1.7K]

A= 2 to the power of -1
Because if it's the same base no in multiplication we add the indices and in division we subtract the indicies

4 0

2 years ago

What is the value of 34+3.5(−44÷2)?

Keith_Richards [23]

Answer:

-43

Step-by-step explanation:

6 0

2 years ago