Answer:
x < 7
Step-by-step explanation:
Flip the equation to make it easier: x - 6 < 1
Move 6 to the other side and change sign: x < 1 + 6
Do simple addition: x < 7
Since B is perpendicular to A. We can say that the gradient of B will be -1/7 (product of the gradients of 2 perpendicular lines has to be -1).
Now we know that the equation for B is y=-(1/7)x + c with c being the y intercept.
Since the point isnt specified in the question, we could leave the equation like this.
But if there is a given point that B passes through, just plug in the x and y values into their respective places and solve to find c. That should give you the equation for b.
Now, to find the solution of x, we have 2 equations:
1) y=7x+12
2)y=-(1/7)x+c
In this simultaneous equation we see that y is equal to both the expressions. So,
7x+12=-(1/7)x+c
Now, since the value of c is not found, we cannot actually find the value of x, but if we would find c, we could also find x since it would only be a matter of rearranging the equation.
And there you go, that is your solution :)
We need to see the rest of the question...
Answer:
9y +9x - 10a-10c -10b = 105
Step-by-step explanation:
Given
a+b+c = -6 and x+y = 5
We have to find 9y +9x - 10a-10c -10b
Rearranging the terms
9x+9y-10a-10b-10c
Simplifying will give us:
= 9 (x+y) - 10(a+b+c)
Putting the values of x+y and a+b+c
= 9(5) -10(-6)
=45+60
=105
Therefore,
9y +9x - 10a-10c -10b = 105 ..
