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3 years ago

Noemi wants to divide 2x2−x+4 by x−5 using synthetic division. Which answer shows the correct process

Mathematics

2 answers:

qaws [65]3 years ago

8 0

The 4th option is the correct answer.

Explanation:

Here we will place the opposite of the number of the divisor in the top left box. Now we will bring down the coefficient of the squared term or 2. Now, we will multiply the number in the top left box or 5 with the times of the coefficient of the squared term. This gives 10 and we will place 10 in the second column. This column now contains -1 and 10 and adding these we get 9. Now we will multiply 5 with the result of the second column or 9 to get 45, We will place 45 in the third column which already has 4, and adding both we get 49.

Alika [10]3 years ago

5 0

Answer:

the 4th option!

Step-by-step explanation:

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3 years ago

A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 46 degrees, what does ADC measures?

den301095 [7]

Answer: 23 degrees

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Explanation:

Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC. The reason why is because they both cut off the minor arc AC

Angle ABC is given to be 46 degrees, the formula we use is shown below

central angle = 2*(inscribed angle)
angle ABC = 2*(angle ADC)
46 = 2*(angle ADC)
46/2 = 2*(angle ADC)/2 ... divide both sides by 2
23 = angle ADC
angle ADC = 23 degrees

5 0

3 years ago

A drawer contains 12 brown socks and 12 black socks, all unmatched. A man takes socks out at random in the dark. 21. Required in

avanturin [10]

Answer:

6 socks

Step-by-step explanation:

What we must do is calculate the probability of this happening, that he takes out two black socks in the first two taken out.

There are 12 black socks and in total they are 24, therefore the probability of drawing 1 is:

12/24

and now the probability of getting another one is 11 (there is one less outside) and in total they are 23:

11/23

the final probability is the multiplication of these events:

(12/24) * (11/23)

P = 0.24

Now, to know how many you should get, we multiply the probability by the total number of socks, that is:

0.24 * 24 = 5.76

So you must take out at least 6 socks for the above to happen.

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3 years ago