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3 years ago

Question in photo 1, answer choices in photo 2. thanks.

Mathematics

1 answer:

Zinaida [17]3 years ago

5 0

The correct answer for the question shown in the figure attached is the third option, which is shown below:
BC/YZ=6/3
You have that, by the SSS similarity theorem, two triangles are similar if they have corresponding sides with equal ratios, this means the following:
AB/XY=BC/YZ=AC/XZ
4/2=6/3=√52/√13
2=2=2

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What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C

butalik [34]

ANSWER

$10C_5(2)^{5}( - 3)^5$

EXPLANATION

The given binomial expansion is:

${(2x - 3y)}^{10}$

Compare this to

${(a + b)}^{n}$

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

${x}^{5} {y}^{5}$

This implies that, r=5.

The terms in the expansion can be obtained using

$T_{r+1}=nC_ra^{n-r}b^r$

We substitute the given values to obtain;

$T_{5+1}=10C_5(2x)^{10-5}( - 3y)^5$

$T_{6}=10C_5(2x)^{5}(3y)^5$

$T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5} {y}^{5}$

Hence the coefficient is;

$10C_5(2)^{5}( - 3)^5$

5 0

3 years ago

Read 2 more answers

A glass pitcher holds 6 1/3 cups of pineapple juice. Tracy transfers the juice in equal amounts into 3 bottles. How many cups of

horrorfan [7]

6 1/3 divided by 3
The answer is 19

5 0

2 years ago

Read 2 more answers

PLEASE HELP!!!! WORTH 20 points it’s all I have show all of your work!!!!!!!

stiv31 [10]

Answer:

Part A: [0,2], Part B: [2, 4], Part C: [8,10], Part D: 0 ft

Step-by-step explanation:

Part A: The time between 0 seconds to 2 seconds is the time when it's increasing. There is no other time like that.

Part B: The graph shows a straight line so therefore it is staying the same.

Part C: The graph shows a sharp decline.

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2 years ago

Neeeeed help please

Nikolay [14]

A nice riddle, mathematical riddle.

Assuming a turtle winning means the declared winner is the weaker one actually won over the stronger one. In this context, the turtle winner is the one who has a lesser number of favourable votes.

The given rules for the points are as follows:
1. Point for the first choice must be greater than or equal to that of the second choice.
2. All points must be positive whole numbers.

Let's suppose we have Henry against Tim.
Henry is favourite of the voters and is the leading candidate, according to popular polls.
Tim is an excellent manipulator, sly, and everybody knows this.

On polling day, the vote count came out as follows (in point counts)

Henry Tim
2 1
2 1
2 1
2 1
2 1
2 1
10 1 (Henry's own vote)
1 100 (Tim's own vote)
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17 107 TOTAL POINTS

So Tim the turtle was declared winner of the race, and since everything was according to rule, even a recount of the votes did not change the results.

Be aware, voting by districts (instead of popular votes) also exhibits a similar problem.

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3 years ago

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What is 2 5/6 +1 5/7

mylen [45]

Hi Cherise1cherhop lets break this equation down with these steps:

1) add the whole numbers first

2) find the LCD of the fractions and that would be 42 since 42 can go into both denominators through multiplication

3) make the denominators (bottom numbers) the same as the LCD (42)

4) simplify it, now the denominators are equal

5) join the denominators together

6) simplify it (3 + 65/42)

7) convert 65/42 to mixed fraction

8) now that we made it a mixed fraction, simplify it

Answer: 4 23/42

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3 years ago