Answer:
2x^3-8x^2+8x+12
Step-by-step explanation:
split them up
use distributive property
2x-6(x-2)
2x^2-4x-6x+12(x+1)
use distributive property again
2x^3+2x^2-4x^2-4x-6x^2-6x+12x+12
simplify
2x^3-8x^2+8x+12
I forgot if you can divide it by 2 or not to simplify it even more. If you can, divide it by 2. I forgot the rules
If you divide it by 2, then the answer is
x^3-4x^2+4x+6
The triangle is obtuse since it has an angle more than 90 degrees.
It also has 2 equivalent sides that are represented by the line, meaning it is isosceles.
Therefore,
C. and E. are correct.
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The distance between both lines is 2.24 units
Step-by-step explanation:
There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.
Given

We have to find the distance of this point from y=2x+5

The formula for finding distance of a point (x,y) from a line is:

A=2
B=-1
C=5
Putting the values in the formula

Rounding off will give: 2.24 units
The distance between both lines is 2.24 units
Keywords: Equations of lines
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We start with the equation y-y1 =m (x-x1) because we have m the slope = 1/4 and a point on the line with the coordinates (x1=-20, y1=-6) so,
y+6=1/4 ( x+20);
y=(1/4)x + 20/4 -6;
y= (1/4)x -1 and this is the equation in slope intercept form y=mx +b where the lope m= 1/4 and b= -1 the y-intercept
Answer <span>y= (1/4)x -1 </span>