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Evgesh-ka [11]
3 years ago
7

Please look at attached file

Mathematics
1 answer:
nata0808 [166]3 years ago
4 0

Answer:

5

Step-by-step explanation:

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What is the equation of the line that is perpendicular to y, =, 1 over 3 x, 4. And contains the point negative 2, negative 5,?.
Anit [1.1K]

The equation of the line is, \rm y = 3x + 1.

Given that,

The equation of the line is,

\rm y = \dfrac{1}{3} x+4\\

And contains the point (-2, -5).

We have to determine,

What is the equation of the line that is perpendicular to the given line?

According to the question,

The equation of the line is,

\rm = \dfrac{1}{3}x + 4\\

On comparing with the standard equation of the line y = mx +c.

The slope of the line m_1 is 1/3.

When two lines are perpendicular the relation between these slopes is,

\rm m_1\times m_1 = {-1}\\\\\dfrac{-1}{3} \times m_2 = -1\\\\-1 \times m_2 = -1 \times 3\\\\-m_2 = -3\\\\m_2 = 3

And line contains the point (-2, -5).

Then,

\rm y = mx +c \\\\-5 = 3 (-2) + c\\\\-5 = -6+c \\\\c = 6-5 \\\\c = 1

Therefore,

The equation of the line that is perpendicular to the given line and contains the point (-2, -5) is,

\rm y = mx +c \\\\y = 3x +1

Hence, The required equation of the line is, \rm y = 3x + 1.

For more details refer to the link given below.

brainly.com/question/14388443

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2 years ago
Paul bought 9 total shirts for a total of 72 tee shirts cost 10 and long sleeve shirts cost 7. how many of each shirt did he buy
FinnZ [79.3K]
6 long sleeve and 3 short sleeves.
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3 years ago
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​−8x+4y=24<br> ​−7x+7y=28<br> ​​ What is the solution?
SVETLANKA909090 [29]
​−8x + 4y = 24 -- (1)
​−7x + 7y = 28 -- (2)

Eqn (1) & (2) are simplified as

y - 2x = 6 -- (3)
y - x = 4 -- (4)

By making y the subject of formula in (4), we have

y = x + 4 -- (5)

Substitute x + 4 for y in (3), then

x + 4 - 2x = 6
x - 2x = 6 - 4
- x = 2
x = - 2.

Substitute - 2 for x in (5), then

y = - 2 + 4
y = 2.

Therefore, (x, y) = (- 2, 2) ...Ans.
5 0
3 years ago
One equation in a system of equations is y= 3/4x -1. For which second equation would the system have exactly one solution? Choos
musickatia [10]

Answer:

2iiej

Step-by-step explanation:

1kejes191828wusnalao

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3 years ago
At maximum speed, an airplane travels 2,400 miles against the wind in 6 hours. Flying with the wind, the plane can travel the sa
Hatshy [7]
X - y  = 2400/6 = 400        where x = speed of plane and y = speed of wind.

x + y =  2400/5 = 480          - flying with the wind

adding the 2 equations 
2x = 880
x = 440

Speed of the plane with no wind = 440 mph
5 0
3 years ago
Read 2 more answers
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