Answer:
AB = 16 units
Step-by-step explanation:
Given the coordinate (-4, 9) and (-4, -7)
Using the formula for calculating the distance between two points
AB = √(x2-x1)²+(y2-y1)²
AB =√(-7-9)²+(-4+4)²
AB = √(-16)²+0²
AB = √16²
AB = 16 units
Hence the distance between Point A and Point B is 16 units
Answer:
b perpendicular
Step-by-step explanation:
all that is needed to do is the Y2 - y1 / X2 - X1 formula and then compare the two slopes making sure they are inverse opposites
Line 1) -7 -8 / -3 -2 X= 3X
Line 2) -3 - 0 / 12 - 3 X = -1 / 3X
Because they are inverse opposites of each other they are perpendicular had they had the exact same slopes they would have been parallels.
Y-5=3-9 (y+2)
Solve for y
Distribute the 9 to (y+2)
Y-5=3-9y-18
Y-5=-15-9y
+9y to both sides
10y-5=-15
+5 to both sides
10y=-10
÷10 both sides
Y= -1
2 (x-7)-10=12-4x
Solve for X
Distribute 2 to (x-7)
2x-14-10=12-4x
2x-24=12-4x
+4x to both sides
6x-24=12
+24 to both sides
6x=36
÷6 to both sides
X=6
x/20 = 21/14 (similar proportions)
x/20 = 3/2 (simplify by canceling out a factor of 7)
x = 30
