We are given a rectangle ABCD
A(-2, 3)
B(4, 6)
We are asked to find the slopes of sides BC, CD, and DA.
Let me first draw a rectangle to better understand the problem
Recall that the slope is given by
So the slope of side AB is
The sides BC and DA are perpenducluar to the side AB.
So their slopes will be
Substituting the value of slope of AB
The side CD is parallel to the side AB.
Parallel sides have equal slopes so
Therefore, the slopes of the rectangle ABCD are
Send a picture, I don’t know how to help without a visual cause there are similar problems
Answer:
857.766cm^3
Step-by-step explanation:
Given data
Lenght = 3m
Internal radius r = 3m
External radius R= 10m
Volume of pipe= πr^2h
Volume of metal= External - Internal
Volume= πR^2h-πr^2h
Volume= πh(R^2-r^2)
Volume= 3.142*3(10^2-3^2)
Volume= 3.142*3(100-9)
Volume= 9.426*(91)
Volume= 857.766cm^3
Hence the volume of the metal is 857.766cm^3
The answer would be 41.012
Simplify the following:
-3 x^2 + 2 y^2 + 5 x y - 2 y + 5 x^2 - 3 y^2
Grouping like terms, -3 x^2 + 2 y^2 + 5 x y - 2 y + 5 x^2 - 3 y^2 = (2 y^2 - 3 y^2) + 5 x y - 2 y + (5 x^2 - 3 x^2):
(2 y^2 - 3 y^2) + 5 x y - 2 y + (5 x^2 - 3 x^2)
2 y^2 - 3 y^2 = -y^2:
-y^2 + 5 x y - 2 y + (5 x^2 - 3 x^2)
5 x^2 - 3 x^2 = 2 x^2:
Answer: -y^2 + 5 x y - 2 y + 2 x^2
