Lines P and Q are parallel . The slope of P is 5 and the slope of Q is 10/v. What is v ?
Let the slope of P be M1 = 5
Let the slope of Q be M2 = 10/v
Given that the lines P and Q are parallel.
Then we know that the slopes of two parallel lines are equal.
Then we conclude that:
Slope P = slope Q
==> M1 = M2
==> 5 = 10 / v
Now we will multiply by v:
==> 5*v = 10/v *v
==> 5v = 10
Now let us divide by 5:
==> v = 10/ 5 = 2
Then , V = 2
We are given that lines P and Q are parallel. The slope of line P is 5 and the slope of line Q is 10/v. Now we have to find v.
Here we use the property that the slope of parallel lines is the same.
Therefore 5 = 10 / v
multiply both sides by v
=> 5v = 10
divide both sides by 5
=> v = 10/ 5 = 2
Therefore the required value of v is 2.
If the two lines are parallel, then the slopes of the two lines are same.
The slope the line P is 5.
Therefore the sope of the line Q is also 5.
The slope of the line Q is given to be 10/v.
Therefore 10/v shoul be equal to 5.
Therefore 10/v = 5. We solve this equation for v to find the value of v:
10/v = 5.
Taking the reciprocal of both sides, we get:
v/10 = 1/5.
We multiply both sides by 10:
v = 10/5= 2.
Thereore the the value of v = 2.
If 2 lines are parallel, the values of their slopes are equal.
If the slope of P is mP = 5, then the slope of Q is mQ = 5 also.
We know, from enunciation, that the slope of Q is the ratio 10/v.
We'll put equal the following:
mQ = 5 (1)
mQ = 10/v (2)
(1) = (2)
5 = 10/v
We'll divide by 5 both sides:
5/5 = 10/5v
1 = 2/v
We'll multiply by v both sides:
v = 2
So, the value of v = 2 for the parallel lines P and Q, whose slopes are m = 5.