Simplify (X+4)+(2x+3)
2 answers:
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Answer:
Step-by-step explanation:
If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.
Slope of a line passing through two points C(4, 5) and D(8, 10),
m =
m =
m =
Equation of the line passing through C(4, 5) and slope m =
y - y' = m(x - x')
y - 5 =
y =
y =
If point B(4, 0) lies on the line CD,
0 =
0 = 5
Which is not true.
Therefore, point B doesn't lie on line CD.
Answer:
Step-by-step explanation:
I assume that the three points given are the vertices of the triangle. So the three points are:
A (-4,1)
B (-7,5)
C (0,1)
The area of a triangle is given by:
where b is the base and h is the height.
Here we can take as follows:
- We can take the base to be the side AC, so that its length is equal to the distance between the two points:
- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:
Therefore, the area of the triangle is: