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gayaneshka [121]
2 years ago
7

Help? I need a answer

Mathematics
1 answer:
emmainna [20.7K]2 years ago
3 0
A.12
Hope this is correct. If not sorry. Good luck and have a great day! :)
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The line y =3x-5 meet x-axis at the point M. The line 3y+2x=2 meets y-axis at point N. Find the equation of the line joining M a
Law Incorporation [45]

<u>Answer-</u>

<em>The line equation is,</em>

\boxed{\boxed{6x+15y-10=0}}

<u>Solution-</u>

The line y =3x-5 meets x-axis at the point M, i.e M is the x-intercept of this line. At the x-intercept y=0, so

\Rightarrow 0 =3x-5

\Rightarrow 3x=5

\Rightarrow x=\dfrac{5}{3}

So, coordinate of M is (\dfrac{5}{3},\ 0)

The line 3y+2x=2 meets y-axis at point N, i.e N is the y-intercept of this line. At the y-intercept x=0, so

\Rightarrow 3y+2(0)=2

\Rightarrow 3y=2

\Rightarrow y=\dfrac{2}{3}

So, coordinate of N is (0,\ \dfrac{2}{3})

The line joining M and N can be found out by applying two point formula of straight line,

\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}

\Rightarrow \dfrac{y-0}{\frac{2}{3}-0}=\dfrac{x-\frac{5}{3}}{0-\frac{5}{3}}

\Rightarrow \dfrac{y}{\frac{2}{3}}=\dfrac{x-\frac{5}{3}}{-\frac{5}{3}}

\Rightarrow -\dfrac{5}{3}y=\dfrac{2}{3}(x-\frac{5}{3})

\Rightarrow -5y=2(x-\dfrac{5}{3})

\Rightarrow -5y=2x-\dfrac{10}{3}

\Rightarrow 2x+5y-\dfrac{10}{3}=0

As it is given that all the coefficients are integers, so multiplying with 3

\Rightarrow 6x+15y-10=0

4 0
3 years ago
Read 2 more answers
The fountain in the pond at the public park near Kevin's house has a pump that recirculates 75 gallons of water in 1/4 of an hou
pantera1 [17]
75/10 * 4/1 = 300/1     300 gallons every hour
7 0
3 years ago
A positive number is 3 times another number.
Juli2301 [7.4K]

Answer:

The smaller number can be 8 or \frac{1}{5}.

Step-by-step explanation:

Consider the provided information.

let the larger number is x and the smaller number is y

A positive number is 3 times another number.

3y=x

If we add 2 to the larger and 5 to the smaller, then one of them becomes 2 times the other.

Case I: If 2nd number is 2 times to the first number.

x+2=2(y+5)

Substitute the value of x.

3y+2=2y+10

y=8

Now substitute the value of y in 3y=x

3(8)=x

x=24

Therefore, the smaller number is 8.

Case II: If 1st number is 2 times to the second number.

2(x+2)=y+5

Substitute the value of x.

2(3y+2)=y+5

6y+4=y+5

5y=1

y=\frac{1}{5}

Therefore, the smaller number is \frac{1}{5}.

7 0
3 years ago
A bouquet has 30 flowers. 21 are carnations.
Serga [27]

Answer

30%

Step-by-step explanation:

21 is 70% of 30. 100-70= 30

6 0
2 years ago
Find the value of x.​
Strike441 [17]

Answer: The value of x is 7

Step-by-step explanation:

3 0
2 years ago
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