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BartSMP [9]
3 years ago
10

PLSSSS 9) In figure (1) name a straight angle

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Answer:

B,G

Step-by-step explanation:

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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
2 years ago
What is the perimeter a square whose is 6.5 inches?
chubhunter [2.5K]
There are four sides
6.5 x 4 = 26
5 0
3 years ago
A researcher reports a 98% confidence interval for the proportion of Drosophila in a population with mutation Adh-F to be [0.34,
Fantom [35]

Answer:

0.34 \leq p \leq 0.38

For this case we can conclude that with 98% of confidence the true proportion of Drosophila in a population would be between 0.34 and 0.38.

But that doesn't means that we have 98% of PROBABILITY that the true proportion would be between 0.34 and 0.38, because we are constructing a confidence interval with sample data and we can't analyze this using probability.

Then the best answer is:

2. False

Step-by-step explanation:

For this case we have a confidence interval for the proportion of Drosophila in a population with mutation Adh-F to be given by:

0.34 \leq p \leq 0.38

For this case we can conclude that with 98% of confidence the true proportion of Drosophila in a population would be between 0.34 and 0.38.

But that doesn't means that we have 98% of PROBABILITY that the true proportion would be between 0.34 and 0.38, because we are constructing a confidence interval with sample data and we can't analyze this using probability.

Then the best answer is:

2. False

3 0
3 years ago
GEOMETRY HELP ME
Aleksandr [31]

Answer:

x= 110°

Step-by-step explanation:

if you continue drawing the top purple line you will have a triangle with three angles

70° ; is given

180-140= 40°; is the same angle as the supplement angle of 140° (complementary angles are congruent)

180-70-40 = 70°; because sum of angles in a triangle is 180°

So angle x= 180 -70 = 110 because are a linear pair

6 0
2 years ago
Read 2 more answers
Dingane has \$8.00$8.00dollar sign, 8, point, 00, and exactly 30\%30%30, percent of that money is from 555‑cent coins. How many
Ipatiy [6.2K]
<span>If Dingane has $8.00, and thirty percent of that money is from five cent coins, then 8 x 0.3 = $2.40 of Dingane's money is made of five cent coins. In this case the number of five cent coins is the number of cents divided by five: 240/5 = 48. Therefore, Dingane has forty-eight five-cent coins.</span>
6 0
3 years ago
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