1. First transformation is rotation rotation of 180 about the origin. This transformation has a rule:
(x,y)→(-x,-y).
If points E(-2,-4), F(-1,-1), D(-2,-1) are vertices of triangle EFD, then
- E(-2,-4)→E''(2,4),
- F(-1,-1)→F''(1,1),
- D(-2,-1)→D''(2,1).
2. Second transformation is translation 1 unit left with a rule
(x,y)→(x-1,y).
Then
- E''(2,4)→E'(1,4),
- F''(1,1)→F'(0,1),
- D''(2,1)→D'(1,1).
Answer: 1st: rotation of 180 about the origin; 2nd: translation 1 unit left.
from question d = 16t^2 = 56-4t
=》 16t^2 -56 + 4t =0
=》 4t^2 - 14 + t = 0
=》 (4t-7)(t+2) =0
=》 t = 1.75 seconds
Any real number line ranges from negative infinity to positive infinity. A real number number line consists of all the rational and irrational numbers. Let us take three intervals which contain both the rational and irrational numbers.
First interval: [3,4]
Since every integer is a rational number, 3 and 4 are both rational. In this interval there occurs the value of π (3.14159..) which is an irrational number.
Second interval : [0,2]
0 and 2 are integers and hence are rational. In this interval, occurs √2 (1.41421...) is an irrational number.
Third interval : [2,3]
In this interval, Eulers number 'e' lie whose value is (2.718281.. )
Hence we can conclude that, there occurs an irrational number between any two rational number.
