Answer:
The equation of the perpendicular line of the given line is
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<u><em>Given the equation of the line</em></u>
cross-multiplication, we get
5y = 6x +4
The equation of the straight line is 6x - 5y +4=0
The equation of the perpendicular line to the given line is
b x - ay +k=0
The equation of the perpendicular line to the given line is -5x-6y +k=0
This line passes through the point (-3,2)
⇒ - 5(-3) -6(2)+k=0
⇒ 15 -12 +k=0
⇒ 3 +k=0
⇒ k =-3
<u><em>Step(ii):-</em></u>
The equation of the perpendicular line is
-5x-6y-3=0
5x + 6y +3 =0
6y = -5x-3
<u><em>Final answer:-</em></u>
The equation of the perpendicular line of the given line is
Answer:3rd option s=37
Step-by-step explanation:
See Ara and Evalyn are collecting stamps.
It is given that Ara has twice of 12 less than the stamps Evalyn has.
And we are given that total no. of stamps is 87.
So, our equation becomes,
2(S - 12) + S = 87
Where 'S' is no. of stamps Evalyn has.
Solving for S, we get,
S = 37
So , first we get to know is Wilmer's equation is incorrect because he has not added no . of stamps Evalyn has which is S
So option 3 is correct
We can also calculate the no. of stamps Ara has which is
2(37 - 12)
= 50
Hope it helps!!!
Answer:
your y-intercept can be 2 and the rate of change of c is 3
Step-by-step explanation:
I hope this is right and it helps.
Answer:
x = -1/2 ( 3±sqrt(37))
Step-by-step explanation:
x^2 + 3x − 7 = 0
Add 7 to each side
x^2 + 3x =7
Using complete the square
Taking the coefficient of x
3
Divide by 2
3/2
Square it
(3/2)^2 = 9/4
Add this to each side
x^2 + 3x+ 9/4 = 7+9/4
( x+ 3/2) ^2 = 28/4 + 9/4
( x+ 3/2) ^2 = 37/4
Take the square root of each side
x+3/2 = ±sqrt(37/4)
x+3/2 = ±sqrt(37) / sqrt(4)
x+ 3/2 = ±sqrt(37) / 2
Subtract 3/2 from each side
x = -3/2 ±sqrt(37) / 2
x = -1/2 ( 3±sqrt(37))
