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slega [8]
2 years ago
13

I

Mathematics
1 answer:
valkas [14]2 years ago
7 0

Answer: Y = 3/4x + 3

Step-by-step explanation:

If two lines are perpendicular, then the product of the two slopes should be -1.

First change 4x + 3y = 7 to Slope intercept form

  (4x - 4x) + 3y = 7 - 4x

   3y/3 = 7/3 - 4/3x

    Y = -4/3x + 7/3 ( -4/3 is the slope)

  Then find the slope of line n

     -4/3 x S = -1

      (-3/4 x -4/3) x S = -1 x -3/4

       S = 3/4

    Slope of line n is 3/4

      Next find the Y-intercept of line n

     Since line n contains (2,3) we can use 3 as the y-intercept of line n

          Hence, the equation of line n is Y = 3/4x + 3

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1. Y varies inversely with x. If y = 9 when x = -5, find the value of x when y=-6.
Gelneren [198K]

Answer:

Step-by-step explanation:

1 )  Y∝ 1 / X

Y = k / X

Y = 9 , X = -5

Putting the values in the relation above

9 = k / - 5

k = -45

Y = - 45 / X

Put Y = - 6

- 6 = - 45 / X

X = - 45 / -6

= 7.5

2 )

Luke and Nora can peel 12 carrots in 5 minutes

in 1 minute Luke and Nora can peel 12 / 5 carrot

in 1 minute Luke alone   can peel 12/ 11 carrot .

In 1 minute Nora alone will peel (12 / 5 -  12/ 11  ) carrot

(12 / 5 -  12 / 11  )

= 2.4 - 1.1

= 1.3 carrot

In 1 minute Nora alone will peel 1.3 carrot

1.3 carrot in 1 minute

8 carrot in 8 / 1.3 minute

= 6.15 minutes.

In 1 minute Nora alone will peel 8 carrot in 6.15 minutes working alone.

3 0
3 years ago
Which vectors represent the reflection of the vector <3, -7> across the x-axis?
brilliants [131]
Bonn. H j j I in j.





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4 0
3 years ago
The mathematics department of a college has 6 male professors, 9 female professors, 5 male teaching assistants, and 6 female tea
Hitman42 [59]

Given:

6 male professores

9 female professores

5 male teaching assistants

6 female teaching assistants

Sol:.

N(A\text{ or B)=N(A)+N(B)-N(A and B)}

N (professors)

\begin{gathered} =6+9 \\ =15 \end{gathered}

N(Male)

\begin{gathered} =6+5 \\ =11 \end{gathered}

N(professors and male)

=6

N(professors OR male) = N(professors) + N(males) -N(professor OR male)

\begin{gathered} N(\text{ Professors OR male)=15+11-6} \\ =20 \end{gathered}

N(People to choose from)

\begin{gathered} =6+9+5+6 \\ =26 \end{gathered}

Then probablitiy is:

\begin{gathered} =\frac{20}{26} \\ =\frac{10}{13} \end{gathered}

Then the probability is 10/13

6 0
1 year ago
Garth estimated the height of the door to his classroom in meters.what is a reasonable estimate?
insens350 [35]
A reasonable estimate is an educated guess made by an observer based on that person's current knowledge and following observations. For example, If Garth knew that he was 1.2 meters tall, and he observed that the door was approximately twice his own height, Garth could then make the reasonable estimate that the door is about 2.4 meters tall.
8 0
3 years ago
Pls help again I’ll give out brainliest please dont answer if you dont know
Vladimir [108]

Answer:

I think the closest would be 41.5%

Step-by-step explanation:

If you take the number of passengers left on the plane and divide by the total number of passengers that were on the plane in the beginning, you would get 58.5%. That's the % of how many people are left on the plane. So, you would then do 100%-58.5% to get the answer 41.5%. Hope this helps! :)

8 0
3 years ago
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