Answer:
(7, -27)
Step-by-step explanation:
Use the midpoint formula.
M = ( x₂ + x₁ , y₂ + y₁) / 2
(5, -11) = (x₂ + 3 , y₂ + 5) / 2 Substitute the midpoint and point U.
(10 , -22) = (x₂ + 3 , y₂ + 5) Multiply by 2 on both sides
x₂ + 3 = 10 y₂ + 5 = -22 Split for each point and solve.
x₂ = 10 - 3 y₂ = -22 - 5
x₂ = 7 y₂ = -27
Point V is (7, -27).
Yesterday's time: t = 2 hr 20 min
Today's time: 0.73(2 hr 20 min) = 0.73 (2.333 hr) = 1.703 hr
This can be expressed in hours and minutes:
60 min
1 hr + 0.703 hr = 1 hr + 0.703 hr * --------------
1 hr
= 1 hr + 42.18 min
Rounded off to the nearest minute, we get 1 hr 42 min (answer)
Answer:
Step-by-step explanation:
Given
See attachment for line segment RQ
of RQ
Required
The coordinates of P
Using line segment ratio formula, we have:
If P is at:
Then:
Solve
Multiply by 6
By comparison
From the attached line segment
So, we have:
Answer:
Step-by-step explanation:
To prove a quadrilateral a parallelogram we prove,
1). Length of opposite sides are equal.
2). Slopes of the opposite sides are same.
Length of AB =
=
=
Length of BC =
=
Length of CD =
=
Length of AD =
=
Therefore, AB = CD and BC = AD (Opposite sides are equal in length)
Slope of AB =
=
= -1
Slope of BC =
= -3
Slope of CD =
= -1
Slope of AD =
= -3
Slope of AB = slope of CD and slope of BC = slope AD
Therefore, AB║CD and BC║AD
Hence ABCD is a parallelogram
Answer:
Answer is a.multiplication.
Step-by-step explanation:
I hope it's helpful!