Image below, rotation for point (5,-2) gives you (2,5).
Answer:
irrational
Step-by-step explanation:
it is not a perfect square.
square root of 72= 8.48528137424...
The first thing we will do is define an equilateral triangle:
In geometry, an equilateral triangle is a regular polygon with three equal sides. In traditional Euclidean geometry, equilateral triangles are also equiangular, that is, the three internal angles are also congruent to each other, each angle with a value of 60 °
Every equilateral triangle consists of three equal sides and three congruent angles.
Therefore, there can be a triangle with three equal sides (5 centimeters in this case).
Answer:
1) one
Factor the following:
12 x^4 - 42 x^3 - 90 x^2
Factor 6 x^2 out of 12 x^4 - 42 x^3 - 90 x^2:
6 x^2 (2 x^2 - 7 x - 15)
Factor the quadratic 2 x^2 - 7 x - 15. The coefficient of x^2 is 2 and the constant term is -15. The product of 2 and -15 is -30. The factors of -30 which sum to -7 are 3 and -10. So 2 x^2 - 7 x - 15 = 2 x^2 - 10 x + 3 x - 15 = x (2 x + 3) - 5 (2 x + 3):
6 x^2 x (2 x + 3) - 5 (2 x + 3)
Factor 2 x + 3 from x (2 x + 3) - 5 (2 x + 3):
Answer: 6 x^2 (2 x + 3) (x - 5)