The slope-intercept of a line is expressed as y=mx + b where m is the slope which is equal to change in y over change in x and b is the y-intercept. We can obtain this form from two points by doing as follows:
y - y1 = m(x-x1)
y + 3 = (1 + 3) / (4-0) (x - 0)
y + 3 = x
y = x -3
where m is 1 and b is -3
P equals 7 because 7 people to each table. 42/7=6
Answer:
1:50 scale
Step-by-step explanation:
9.5m * 100 = 950cm
950/19 = 50
X² - 4x + y² - 8y = 5
Complete the square:
x² - 4x + (4) + y² - 8y + (16) = 5 + (4) + (16)
→ (x - 2)² + (y - 4)² = 25
Center: (2,4)
radius: √25 = 5
Answer: 
Step-by-step explanation:
Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':

Where "O" is the center of dilation at (a,b) and "k" is the scale factor.
In this case you can identify that:

Therefore, susbtituting values into the formula shown above, you get that the coordinates ot the resulting triangle D'E'F, are the following:
Vertex D' → 
Vertex E' → 
Vertex F' → 