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2 years ago

Pls can solve this question . thanks

Mathematics

1 answer:

Lemur [1.5K]2 years ago

7 0

The answer is 75

explanation: 180cm divided by 45 cm is 4, so 300cm divided by 4 is 75

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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

Ill give a brainliest

Citrus2011 [14]

Answer:

Hello! Here is your answer! E is on the x-axis, and no other numbers are reflected so Im guessing C? Plz mark as brainliest if correct, thanks!

3 0

3 years ago

Read 2 more answers

Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a sa

Degger [83]

Answer:

45000 + 2500x = 54000 + 1500x

Step-by-step explanation:

Jerry has a new job and earns a salary of $45,000 and she will receive a salary increment of $2500 per year.

Now, Victoria has a new job and earns a salary of $54,000 and she will receive a salary increment of $1500 per year.

If after x years their salary becomes the same, then

45000 + 2500x = 54000 + 1500x

⇒ 1000x = 9000

⇒ x = 9 years. (Answer)

3 0

3 years ago

Johnny paid $42 for 12 cartons of orange juice. What is the unit rate, in dollars per carton, of orange juice that Johnny paid?

Assoli18 [71]

First, you do

42 divided by 12

42/12

That will equal = 3.5

So the correct answer is the first one

$3.50 per carton

3 0

3 years ago

Is anybody else brainly messing up- because mine is✌

nikklg [1K]

Answer: Mine is loading soo long.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers