What is the square root of -1
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
We are given the coordinates of a quadrilateral that is G(1,-1), H(5,1), I(4,3) and J(0,1).
Now, before proving that this quadrilateral is a rectangle, we will prove that it is a parallelogram. For this, we will prove that the mid points of the diagonals of the quadrilateral are equal, thus
Join JH and GI such that they form the diagonals of the quadrilateral.Now,
JH= and
GI=
Now, mid point of JH=
=
Mid point of GI=
Since, mid point point of JH and GI are equal, thus GHIJ is a parallelogram.
Now, to prove that it is a rectangle, it is sufficient to prove that it has a right angle by using the Pythagoras theorem.
Thus, From ΔGIJ, we have
(1)
Now, JI= and GJ=
Substituting these values in (1), we get
Thus, GIJ is a right angles triangle.
Hence, GHIJ is a rectangle.
Also, The diagonals GI= and HJ=
are equal, thus, GHIJ is a rectangle.
Answer:
D. He should add between 2 cups and 3 cups of dirt.
Step-by-step explanation:
First we need to take the ratio of dirt to peat moss.
8 parts dirt : 3 parts peat moss.
Now we take the ratio and find the value of dirt.
8 : 3 =
x : 1 =
We now multiply both sides by 1.
So now we substitute x.
2.67 Cups Dirt : 1 Cup Peat Moss
Answer:
side_1 = 10
side_2 = 3.16
side_3 = 9.49
Step-by-step explanation:
pitagora's theorem
