Distribute on both sides
2x - 8 = 6x + 12
Move x to one side
-20 = 4x
Divide by 4
-5 = x
Answer:
Step-by-step explanation:
A line perpendicular to the given line has a slope that is the negative inverse of the reference line.
Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.
2x + 3y = 4
3y=-2x+4
y = -(2/3)X + (4/3)
The reference slope is -(2/3). The negative inverse is (3/2), which will be the slope of a perpendicular line. We can write the new line as:
y = (3/2)x + b
Any value of b will still result in a line that is perpendicular. But we want a value of b that will shift the line so that it intersects the point (-3,-5). Simply enter this point in the above equation and solve for b.
y = (3/2)x + b
-5 = (3/2)(-3) + b
-5 = -(9/2) + b
-5 = -4.5 + b
b = - 0.5
The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is
y = (3/2)x - 0.5
Answer:
11.5 tanks of gas
Step-by-step explanation:
23/2
11.5
Since it says ''times'', you have to change the mixed numbers into fractions which will turn the equation into 10/3 x 13/5 which = 130/15. When you turn that into a mixed number, it changes into 8 10/15 or 8 2/3.
ANSWER: 8 2/3
<h2>
x= 0 and x= 1</h2>
Step-by-step explanation:
Given g(x) = x+2 and f(x) = 
If f(x) = g(x)
⇔
= x+2
⇔
Only x= 1 and x=0 will be satisfy the above equation.
If x= 1, it gives and x=0 gives

⇔2=2 ⇔1=1