Points A, B, and C are collinear, and B lies between A and C. If AC = 48, AB = 2x+2, and BC = 3x+6, what is BC?
2 answers:
Answer:
The value of BC is 30.
Step-by-step explanation:
Given information: A, B, and C are collinear, B lies between A and C, AC = 48, AB = 2x+2, and BC = 3x+6.
If A, B, and C are collinear, B lies between A and C, then by using segment addition property, we get
Substitute AC = 48, AB = 2x+2, and BC = 3x+6 in the above equation.
On combining like terms we get
Subtract 8 from both sides.
Divide 5 from both sides.
The value of x is 8.
We need to find the value of BC.
Therefore the value of BC is 30.
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Greetings!
Answer:
2y = x - 6
Step-by-step explanation:
First, we must find the slope of the current equation.
This is the number in front of the x.
Seeing as this is -2x, the slope of this line is -2
When finding the slope of a line perpendicular, you need to find the
So, in this case it is:
The negatives cancel out which leave
So the gradient is
Now, to find the equation of a line, you need to use:
y - y1 = m(x - x1)
Where ya and x1 are the values in the coordinates (2 , -2)
So y1 = -2, x1 = 2, and m is a half. Plug these values in:
y - - 2 =
We need to get rid of the half so we multiply the whole equation by 2:
2y - - 4 = (x - 2)
The minus and the negative turn into a positive:
2y + 4 = x - 2
And now simply move the +4 over to the other side, making it a negative:
2y = -2 - 4 + x
Simplify:
2y = x - 6
<h3>So the equation of the line is 2y = x - 6</h3><h2>Hope this helps!</h2>