Answer:
x = 8 - y
Step by step explaination:
==>x + y = 8
==> x = 8 - y
==> substract the value
==> Done
The parallel lines have the same slope.
The slope-intercept form: y = mx + b
m - a slope.
We have 6x + y = 4 |subtract 6x from both sides
y = -6x + 4 → m = -6.
The slope-point form:
We have m = -6 and (-2, 3).
Substitute:
<h3>Answer: 6x + y = -9.</h3>
An acute angle is infact 90 degrees, therefore your answer is correct.
Option A. All the real values of x where x < -1
Procedure
Solve the inequality:
(x -3)(x+1)>0
That happens in two cases.
1) When both factors >0
x-3>0 and x+1>0
x>3 and x >-1
The intersection is x >3
2) When both factors <0
x-3<0 and x+1<0
x<3 and x<-1
the intersection is x<-1.
We have obtained that the function is positive for the intervals x < -1 and x > 3. But in one of those intervals the function is decresing and in the other is increasing.
You can recognize that the function given is a parabola and, because the coefficient of the quadratic term is positive, the parabola opens upward. Then the function is decreasing in the first interval and increasing in the second interval.
