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3 years ago

What is the slope of the line that passes through the points (8,-4) and (6,2)

Mathematics

1 answer:

padilas [110]3 years ago

8 0

Answer: M= slope

M= -3

Step-by-step explanation:

M= the change in y over the change in x so you do -4-2 over 8-6 which would give you -6 over 2 which is simplified to give you the answer which is -3

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A living room rug has an area of 63 square feet. The width is 7 feet. What is the length ?

Orlov [11]

Answer:

lenght = 9

Step-by-step explanation: Area =L×W

Area = 63 7 . x= 63 x=63÷7 x=9 9×7=63

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Cbold%7B%5Cunderline%7B%5Cunderline%7BQuestion%3A%7D%7D%7D%7D" id="TexForm

Ronch [10]

Answer:

Step-by-step explanation:

<h3>Question:-</h3>

To find the Binomial theorem form of $\bold{(4t-3)^{5}}$

As in Binomial theorem :-

${(x - y)}^{5} = {x}^{5} - 5 {x}^{4} y + 10 {x}^{3} {y}^{2} - 10 {x}^{2} {y}^{3} + 5x {y}^{4} - {y}^{5}$

<h3>Solution :-</h3>

$= {(4t - 3)}^{5}$

Hence, on using the Binomial theorem,

$= {(4t)}^{5} - 5 {(4t)}^{4} (3)+ 10 {(4t)}^{3} {(3)}^{2} - 10 {(4t)}^{2} {(3)}^{3} + 5(4t) {(3)}^{4} - {(3)}^{5}$

On formatting

$= {1024t}^{5} - 5 ({256t}^{4} )(3)+ 10 ({64t}^{3} ) (9 ) - 10 ({16t}^{2} )(27) + 5(4t) (81) - 243$

On further formatting.

$= {1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

Hence, the required answer is :-

${1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

6 0

2 years ago

Which of the following expressions are equivalent?

shtirl [24]

Answer:

the second option

Step-by-step explanation:

5+(1+3)= (5+1) +3

hope this helps :)

5 0

2 years ago

Amanda drove 355 miles using 17 gallons of gas. At this rate how many gallons of gas would she need to drive 284 miles?

Allushta [10]

355 miles/17 gallons ≈ 20.88 miles per gallon
284 miles ÷20.88= 13.6 gallons needed

7 0

3 years ago

What is the percent of 840 is 546

lesantik [10]

K so its an equation 546 x
over = over
840 100
when u do cross multiplication it will be 840x=546 * 100
x is about 64%
Hope this is helpful

4 0

3 years ago