Answer:
Denote:
A(-10, -10)
B(6, -2)
vector AB(6 - -10, -2 - -10) = (16, 8)
(3/5)vector AB = (16 x 3/5, 8 x 3/5) = (9.6, 4.8)
=> Point M that partitions the directed line segment AB into a ratio of 3 to 5:
M = A + (3/5)vector AB = (-10 + 9,6, -10 + 4.8) = (-0.4, -5.2)
Hope this helps!
:)
Step-by-step explanation:
For 1st question
In a parm ABCD
5x - 4 = 16 ( being opposite sides of parallelogram)
5x = 16 + 4
5x = 20
x = 20 / 5
x = 4
3y + 1 = 22 (being opposite sides of parallelogram)
3y = 22 -1
3y = 21
y = 21 / 3
y = 7
For second question
In parm PQRS
Diagonals bisect each other so
x + 4 = 12
x = 12 - 4
x = 8
x + y = 32
8 + y = 32
y = 32 - 8
y = 24
Hope it will help :)❤
20875.2 All you have to do is plug in the numbers to the equation.
Answer:
Hope this helps!
Step-by-step explanation:
Slope = 5/-2
Slope (m) =
ΔY
ΔX
=
5
-2
= -2.5
θ =
arctan( ΔY ) + 180°
ΔX
= 111.80140948635°
ΔX = -1 – 3 = -4
ΔY = 5 – -5 = 10
Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269
Equation of the line:
y = -2.5x + 2.5
or
y =
- 5 x
2
+ 5
2
When x=0, y = 2.5
When y=0, x = 1
The anwser that I know of is 6x+2
