The sum of the inner angles of any triangle is always 180°, i.e. you have
In the particular case of an equilater triangle, all three angles are the same, so
and the expression becomes
which implies
So, if you rotate the triangle with respect to its center by 60 degrees, the triangle will map into itself. In particular, if you want point A to be mapped into point B, you have to perform a counter clockwise rotation of 60 degrees with respect to the center of the triangle.
Of course, this is equivalent to a clockwise rotation of 120 degrees.
Finally, both solutions admit periodicity: a rotation of 60+k360 degrees has the same effect of a rotation of 60 degrees, and the same goes for the 120 one (actually, this is obvisly true for any rotation!)
Parent function = √x
On stretching vertically by factor of 6
New function G(x) = 6√x
Answer:
she will have read 15 books in all
Step-by-step explanation:
if she has read 10 books in 2 months that means she has read 5 books each month, because 10 ÷ 2 = 5.
so if another month passes by that means she reads another 5 books.
10 + 5 = 15
so in total britney has read 15 books in total
Answer:
The discriminant is −4, so the equation has no real solutions.
Step-by-step explanation:
In the equation 0 = x² - 4x + 5, a is 1, b is -4, and c is 5.
Plug in these values into b² - 4ac, and simplify:
b² - 4ac
(-4)² - 4(1)(5)
16 - 20
= -4
So, the discriminant is -4. This means that the equation has no real solutions, because the discriminant is a negative number.
The correct answer is that The discriminant is −4, so the equation has no real solutions.