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WARRIOR [948]
3 years ago
12

Each unit on a coordinate plane represents 1 mile. One end of the road starts at (212,23). The road ends at (6,23). How long is

the road?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
4 0
Distance formula : sqrt (x2 - x1)^2 + (y2 - y1)^2
(212,23)...x1 = 212 and y1 = 23
(6,23)......x2 = 6 and y2 = 23
now we sub
d = sqrt ((6 - 212)^2 + (23 - 23)^2)
d = sqrt ((- 206)^2 + (0^2))
d = sqrt (42436 + 0)
d = sqrt 42436
d = 206 miles <==
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What is the slope of the line that contains these points?<br> (-1,10) (0,18) (1,26) (2,34)
-BARSIC- [3]

The slope of the line that contains these points (-1 , 10) , (0 , 18) , (1 , 26) ,

(2 , 34) is 8

Step-by-step explanation:

You can find the slope of a line from any two points lie on it

  • The formula of the slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}
  • (x_{1},y_{1}) and (x_{2},y_{2}) are two points lie on it

∵ A line contains these points (-1 , 10) , (0 , 18) , (1 , 26) , (2 , 34)

- To find the slope of the line chose any to points

∵ Points (0 , 18) and (1 , 26) lie on the line

∴ x_{1} = 0 and x_{2} = 1

∴ y_{1} = 18 and y_{2} = 26

- Substitute these values in the formula of the slope above

∵ m=\frac{26-18}{1-0}

∴ m=\frac{8}{1}

∴ m = 8

The slope of the line that contains these points (-1 , 10) , (0 , 18) , (1 , 26) , (2 , 34) is 8

Learn more:

You can learn more about the slope of a line in brainly.com/question/12954015

#LearnwithBrainly

7 0
3 years ago
Find the quartic function that is the best fit for the data in the following table.
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7 0
2 years ago
F(x)=-3(5)^x;x=3<br> What is the answer step by step
Harrizon [31]

Answer:

Loading...

Step-by-step explanation:

3 0
3 years ago
2/x + 3/y = 13 ; 5/x - 4/y = -2​
Tomtit [17]

Given that

(2/x)+(3/y) = 13--------(1)

(5/x)-(4/y) = -2 -------(2)

Put 1/x = a and 1/y = b then

2a + 3b = 13 ----------(3)

On multiplying with 5 then

10a +15 b = 65 -------(4)

and

5a -4b= -2 ----------(5)

On multiplying with 2 then

10 a - 8b = -4 -------(6)

On Subtracting (6) from (4) then

10a + 15b = 65

10a - 8b = -4

(-)

_____________

0 + 23 b = 69

______________

⇛ 23b = 69

⇛ b = 69/23

⇛ b =3

On Substituting the value of b in (5)

5a -4b= -2

⇛ 5a -4(3) = -2

⇛ 5a -12 = -2

⇛ 5a = -2+12

⇛ 5a = 10

⇛ a = 10/5

⇛ a = 2

Now we have

a = 2

⇛1/x = 2

⇛ x = 1/2

and

b = 3

⇛1/y = 3

⇛ y = 1/3

<u>Answer :-</u>The solution for the given problem is (1/2,1/3)

<u>Check</u>: If x = 1/2 and y = 1/3 then

LHS = (2/x)+(3/y)

= 2/(1/2)+3/(1/3)

= (2×2)+(3×3)

= 4+9

= 13

= RHS

LHS=RHS is true

and

LHS=(5/x)-(4/y)

⇛ 5/(1/2)- 4/(1/3)

⇛(5×2)-(4×3)

⇛ 10-12

⇛ -2

⇛RHS

LHS = RHS is true

5 0
2 years ago
Suppose we have two weighted coins, one of which comes up heads with probability 0.2, and the other of which comes up heads with
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The expected number of heads seen in 12 flips is 8 heads seen
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