Determine whether the three points are colinear (0,-4),(-3,-18),(2,6) are the three points colinear?

9514 1404 393

  they are not collinear

Step-by-step explanation:

A graph shows that a line through points A and C misses point B, so the points are not collinear.

__

If the points are collinear, then the slope of the segment between the first pair would be the same as the slope of the segment between the second pair.

  m = (y2 -y1)/(x2 -x1)

  m = (-18 -(-4))/(-3 -0) = -14/-3 = 14/3 . . . . slope of AB

__

  m = (6 -(-18))/(2 -(-3)) = 24/5 . . . . slope of BC ≠ slope of AB

The points are not collinear.

_____

Additional comment

With about the same amount of computational effort, you can find the area of the triangle bounded by the three points. If it is zero, then the points are collinear. Here, it is 1 square unit, so the points are not collinear.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40