Answer:
The value of a=6[/tex]
Step-by-step explanation:
<u>step 1:- </u>
<u>col linearity of three points :- </u>
We know that slopes of two parallel lines are equal.If two lines having the same slope pass through a common point ,then two lines will coincide . Hence ,If A,B,C are three points in the X Y- plane, then they will lie on a line,
that is three points are col linear if and only if Slope of AB= slope of BC
<u>step 2:-</u>
Since the given three points are col-linear, we have
Slope of AB= slope of BC
given points are A(2,-2) ,B(-6,2) and C(a,-4)
<u>Step 3 :-</u>
Slope of AB= slope of BC
![\frac{2-(-2)}{-6-2} =\frac{-4-2}{a+6}](https://tex.z-dn.net/?f=%5Cfrac%7B2-%28-2%29%7D%7B-6-2%7D%20%3D%5Cfrac%7B-4-2%7D%7Ba%2B6%7D)
![\frac{-1}{2} =\frac{-6}{a+6} by cross multiplication we get \\a+6=12\\Step 4:-The value of a=6](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B2%7D%20%3D%5Cfrac%7B-6%7D%7Ba%2B6%7D%20%3C%2Fp%3E%3Cp%3E%20%20by%20cross%20multiplication%20%3C%2Fp%3E%3Cp%3Ewe%20get%20%5C%5Ca%2B6%3D12%5C%5C%3C%2Fp%3E%3Cp%3E%3Cu%3E%3Cstrong%3EStep%204%3A-%3C%2Fstrong%3E%3C%2Fu%3E%3C%2Fp%3E%3Cp%3EThe%20value%20of%20a%3D6)
X/3 - 3/4 = 5/2
x/3 = 3.25
x= 9.75 Or 9 3/4
#1.
[4x = -12y + 16 and x + 3y = 4]
One answer
#2.
Here, y = 4x + 3
y - 4x = 3
Multiply by 2,
2y - 8x = 6
Compare with second equation,
6 ≠ 3
In short, System of Equation does not have any solution. [ Option D ]
#3.
2y=6
3x-6y=18
Divide first equation by 2: y=3
Substitute y=3 into second equation: 3x-6(3)=18
Solve for x: 3x=36 x=12
Therefore there is only one solution: x=12 y=3
#4.
y - 7x = -14
7y - 49x = -2
Rewrite the first equation as "y =" so that it can be substituted into the second equation and solve for x.
y = 7x - 14
7(7x - 14) - 49x = -2
49x - 98 - 49x = -2
-98 = -2
Since the variables cancel and the equation is not true there is no solution.
The lines are parallel and will not intersect.
Divide 112 by 4 to get 28 then multiply that by 3 to get 84 BOOOM!!
3x^2 + 21x
Is the answer without a doubt.