Answer:
b
Step-by-step explanation:
We have the coordinates
J (2,5)
K (4,19)
Since we are to find the point that partitions the line segment into 3:2 ratio, we have 5 equal parts of the line segment. So,
Get the horizontal distance:
4 - 2 = 2
Divide by 5
2/5
Multiply by 3
2/5 x 3 = 1.2
Add this to the x coordinate of J
2 + 1.2 = 2.2
Get the vertical distance:
19 - 5 = 14
Divide by 5
14/5
Multiply by 3
14/5 x 3 = 8.4
Add this to the y coordinate of J
5 + 8.4 = 13.4
The coordinates of the point is
(2.2,13.4)
Answer:
(x + 2) (x + 3) = x² + 3x + 2x + 6 = 12 (multiply the binomials)
(x + 2) (x + 3) = x² + 5x + 6 = 12
(x + 2) (x + 3) = x² + 5x + 6-12 = 0 (add the like term and bring the positive 12 to the other side which makes it negative)
x² + 5x + 6 = 0
Using the snowflake method - (finding the factors of 6 that adds/subtracts to give you 5).
This method will give you the factors (x + 6)(x - 1)
ZERO PROPERTY RULE:
(x + 6) = 0
x = -6
(x - 1) = 0
x = 1
The two solutions to the equation are -6 and 1.
Answer:
x -3y = - 3
Step-by-step explanation:
Slope of line m = (0 -1 )/(-3 - 0) = 1/3
y - intercept b = 1
Equation of line in slope-intercept form is given as:
y = mx + b
Plugging m = 1/3 and b = 1 in the above equation, we find:
y = 1/3 x + 1
-> 3y = x + 3
-> x -3y = - 3
This is the required equation of line.