Answer:
a=0
b=2
Step-by-step explanation:
Vertex form is f(x) = a(x - b)^2 + c where the vertex is (b, c) and a is some constant.
So for the first part we have f(x) = a(x + 6)^2 - 1
for root -9:- a( -9+6)^2 - 1 = 0
9a - 1 = 0 , a = 1/9
The other 3 are derived in the same way.
so required equation is f(x) = (1/9)(x + 6)^2 - 1
Answer:
The height of the triangle is 5.2 inches
Step-by-step explanation:
we know that
An <u>equiangular triangle</u> is a triangle where all three interior angles are equal in measure
Remember that an equilateral triangle has three equal sides and three equal interior angles
so
An equiangular triangle Is the same that an equilateral triangle. The measure of its interior angles is equal to 60 degrees
Let
h ----> the height of triangle
b ---> the length side of the triangle
Applying Pythagoras Theorem
we have
substitute
see the attached figure to better understand the problem
Answer:
Using the 30-60-90 triangle to find sine and cosine
sin(60 degrees) = 2√3 4.
sin(60 degrees) = √3 2.
sin(30 degrees) = 2 4.
sin(30 degrees) = 1 2.
cos(60 degrees) = 2 4.
cos(60 degrees) = 1 2.
cos(30 degrees) = 2√3 4.
cos(30 degrees) = √3 2.