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3 years ago

Find the slope, if it exists, of the line containing the pair of points. (8,3) and (9,-8)

Mathematics

2 answers:

AlladinOne [14]3 years ago

5 0

Answer: slopeis -11

Step-by-step explanation:

scoundrel [369]3 years ago

3 0

Answer: M= slope

M= -11

Step-by-step explanation:

M= the change in y over change in x so you would do 3 - (-8) over 8-9 which would give you 11 over -1 so you would get -11 from dividing 11 by -1.

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Est form. Lessons 3-5)<br> 2<br> 9

Gekata [30.6K]

Answer:

what is this mean is there a question

3 0

3 years ago

A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a wa

Mkey [24]

Answer:

The probability that each player will receive three picture cards = 0.0324

Step-by-step explanation:

As given,

A deck of 52 cards contains 12 picture cards

Remaining card = 52 - 12 = 40

So,

Total number of ways in which 12 picture card is distributed = $\frac{12!}{3! 3! 3! 3!}$

Now,

The Total number of ways in which Remaining cards are distributed = $\frac{40!}{10! 10! 10! 10!}$

So,

Total number of ways of getting 3 picture card and remaining card = $\frac{12!}{3! 3! 3! 3!}$ × $\frac{40!}{10! 10! 10! 10!}$

= $\frac{12! 40!}{(3!)^{4} (10!)^{4} }$

Now,

Total number of ways to distribute 52 cards so that each people get 13 card = $\frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }$

∴ The probability = $\frac{\frac{12! 40!}{(3!)^{4} (10!)^{4} }}{\frac{52!}{(13!)^{4} }}$

= $\frac{12! 40!}{(3!)^{4} (10!)^{4} }$ × $\frac{(13!)^{4} }{ 52! }$

= $\frac{12! 40!}{(3!)^{4} (10!)^{4} }$ × $\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }$

= $\frac{12!}{(3!)^{4} }$ × $\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}$

= $\frac{479,001,600}{(6)^{4} }$ × $\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}$

= 0.0324

∴ we get

The probability that each player will receive three picture cards = 0.0324

6 0

3 years ago

Mark took his family to the movies and spent a total of 78$ on tickets he also bought a soda for each family member each sodas c

AveGali [126]

Answer: He bought about 6 sodas.

Step-by-step explanation:

Given: Tota cost of tickets = $ 78

Cost of each soda = $4.25

Total cost of sodas and tickets = 102.50

Let x = Number of sodas purchased

Then

$78+4.25x=102.50\\\\\Rightarrow\ 4.25x=102.50-78\\\\\Rightarrow\ 4.25x=24.5\\\\\Rightarrow\ x= \dfrac{24.5}{4.25}\\\\\Rightarrow\ x\approx6$

Hence, he bought about 6 sodas.

8 0

3 years ago

TRAP ~ EZYD. Use the diagram on the right to find the scale factor of TRAP to EZYD. Show work.

nikitadnepr [17]

The scale factor of TRAP to EZYD is 1.25.

<h3>What is dilation</h3>

Dilation is the increase or decrease in the size of a figure by a scale factor of k. If k > 1 it is an increase and if k < 1, it is a decrease.

To find the scale factor of TRAP to EZYD:

Scale factor = ZE / TR = 15 / 12 = 1.25

The scale factor of TRAP to EZYD is 1.25.

Find out more on dilation on: brainly.com/question/10253650

4 0

3 years ago

David borrowed $30,000 to start a business. Four years later, he repaid the $30,000 along with an interest of $1,260. What was t

torisob [31]

Answer:

1.05%.

Step-by-step explanation:

If an amount of money, P, called the principal, is borrowed for a period of t years at an annual interest rate r, the amount of interest, I, is given by

I=PrtwhereIPrt=interest=principal=rate=time

The following information is given.

IPt=$1,260=$30,000=4 years

Substituting the given information into the simple interest formula and solving for r gives

I1,2601,260=Prt=(30,000)(r)(4)=120,000r

Dividing both sides by 120,000 and then converting to a percent, we have

r=1,260120,000=0.0105=1.05%

Thus, David's annual interest rate was 1.05%.

8 0

3 years ago

Read 2 more answers