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valkas [14]
3 years ago
7

For what value of k will the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent?​

Mathematics
1 answer:
konstantin123 [22]3 years ago
4 0

Answer:

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1

After solving we get value of y=-1

Now putting in eq(1) to get value of x

x+2y=0\\x+2(-1)=0\\x-2=0\\x=2

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3

So, After solve the equations we get value of k=3

You might be interested in
Goutham requires 40% to pass . if he get 205 marks, falls short by 35 marks . what was the maximum marks he could have got ?​
kogti [31]

Answer:

600

Step-by-step explanation:

Percentage required to pass = 40%

Passing marks = 205+35 = 240

Maximum Marks = 240/40 *100

=600

Thank you

8 0
2 years ago
The sum of four consecutive odd integers is 328. What are the integers? (show your work)
Minchanka [31]

Answer:

79, 81, 83, and 85

Step-by-step explanation:

x = 1st integer

x+2 = 2nd

x+4 = 3rd

x+6 = 4th

328 = sum

x+x+2+x+4+x+6 = 328

328/4 = 82

The 4 integers are the 2 odd integers on either side of 82 and closest to 82

That would be 79, 81, 83, and 85.

79 + 81 + 83 + 85 = 328

8 0
3 years ago
PLEAWSE HELP GIVING BRAINLIEST!!!<br> PLEASEEEEEEEee
frutty [35]
Answering so the person above can be marked brainliest
4 0
3 years ago
Write in slope intercept form of the equation of a line passing through (-1,4) and perpendicular to y=x-5.
andrew11 [14]

Answer:

y=-x+3

Step-by-step explanation:

The general slope-intercept equation of a line is y=mx+b where m is the slope and b represents the y intercept. y and x are simply a point the line passes through. In this case, y=x-5, meaning m=1 and b=-5.

In order to find the perpendicular slope, we should take the current slope's <u>negative reciprocal</u>. We have:

-\frac{1}{1} =\\-1

Therefore, our perpendicular slope is -1. We now have equation:

y=-x+b

We can plug in the known values of the point (-1,4) to solve for b.

4=(-1)*(-1)+b\\4=1+b\\b=3

If we now put what we found together, we have equation

y=-x+3

<em>I hope this helps! Let me know if you have any further questions :)</em>

7 0
3 years ago
How would you find the value of x is x equals five, in the equation...5x+29=45?
gavmur [86]
5x+29 = 45
5x = 16 (subtract 29 from both sides)
x = 16/5.

That is the answer, I don't know where you got the value of 5 but it doesn't make sense. To prove it, let's try put it into the equation:

5x5 + 29 =45
25 + 29 = 45
Wrong! 25 + 29 = 54.
4 0
3 years ago
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