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Tanya [424]
2 years ago
13

What is the equation of the line that is parallel to the line y = -1/3x+4 and passes through the point (6,5)

Mathematics
1 answer:
inn [45]2 years ago
3 0

Answer:

\sf y =\dfrac{-1}{3}x + 7

Step-by-step explanation:

Equation of line: y =mx +b

 Here, m is the slope and b is the y-intercept.

Parallel lines have same slope.

            \sf y =\dfrac{-1}{3}x + 4

     So, the slope of the required line = -1/3

Equation of the required line:  

                \sf y =\dfrac{-1}{3}x + b

Point(6,5) goes through the line. substitute x = 6 and y =5 in the above equation and then we can find the value of y-intercept 'b'

    \sf 5 =\dfrac{-1}{3}*6 +b\\\\     5 = -2 + b\\\\5+2  = b\\\\\boxed{b = 7}

Equation of the require line:

           \sf \boxed{\bf y =\dfrac{-1}{3}x+7}

 

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irina1246 [14]

Answer:

12) A ( 9, 11, 13, 15)

13) A ( o , a)

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17) B (Negative)

18) C (26 feet)

19) B (7)

Step-by-step explanation:

12) All of these are odd numbers greater than 7

13) These are the only vowels in "MONDAY"

14) Point B cannot belong in a set that already has B

15) -9876 + 9512 = -364

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8 0
2 years ago
The diameter of a circular garden is 22 feet, what is the approximate area of the garden?
Contact [7]
I hope this helps you



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3 0
3 years ago
Read 2 more answers
Select all of the points that are solutions to the system of linear inequalities that is listed below 10x + 4y < 12 8x -3y &g
liberstina [14]

Answer:

(3, -8) and (2, -10)

Step-by-step explanation:

Given

10x + 4y < 12

8x - 3y > 20

Required

Select the true coordinate points in (3, -8) (2, 5) (-5, 1) (10, 3) (2, -10)

(3, -8)

x = 3 and y = -8

10x + 4y < 12

10 * 3 + 4 * -8 < 12

30 - 32 < 12

-2 < 12 --- True

8x - 3y > 20

8 * 3 - 3 * -8> 20

24 +24> 20

48> 20 --- True

(2, 5)

x = 2 and y = 5

10x + 4y < 12

10 * 2 + 4 * 5 < 12

20 + 20 < 12

40 < 12 --- False (No need to check the other inequality)

(-5, 1)

x = -5 and y = 1

10x + 4y < 12

10 * -5 + 4 * 1 < 12

-46 < 12 --- True

8x - 3y > 20

8 * -5 - 3 * 1 > 20

-43 > 20 --- False

(10, 3)

x = 10 and y = 3

10x + 4y < 12

10 * 10 + 4 * 3 < 12

112 < 12 --- False (No need to check the other inequality)

(2, -10)

x = 2 and y = -10

10x + 4y < 12

10 * 2 + 4 * -10 < 12

-20 < 12 --- True

8x - 3y > 20

8 * 2 - 3 * -10 > 20

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(3, -8) and (2, -10)

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Answer:

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Step-by-step explanation:

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Aneli [31]

Answer: Hello your question is incomplete below is the missing part

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B) Hannah is likely to be incorrect because 9 is not contained in the interval.

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 D)The probability that Hannah is correct is 0.01 because 9 is not contained in the interval.

 E)Hannah is likely to be correct because the difference in the sample means (18.6−14.4=4.2)(18.6−14.4=4.2) is contained in the interval.

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The statement that is supported by the interval in Hannah's claim is that

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