Answer:
y = (x - 4)² - 25
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
y = (x + 1)(x - 9) ← expand factors using FOIL, thus
y = x² - 8x - 9
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
y = x² + 2(- 4)x + 16 - 16 - 9
= (x - 4)² - 25 ← in vertex form
Step-by-step explanation:
A regular n-sided polygon has n axes of symmetry. The angle between two consecutive axes is 360° / n.
In the case of an octagon, the angle is 360° / 8 = 45°.
Answer:
20
Step-by-step explanation:
The whole straight line is 180 degrees. Add 3x, 2x, and 4x all together to get 9x. Then do 180/9x. This will give you 20. x=20.
This figure is a triangle. Using the definition of triangles, it is determined that angles 1, 2, and 3 add up to 180 degrees. In this instance, we know the values of 2 combined angles. With this information it is only necessary to subtract the values of angles 1 and 2 (134) from 180 degrees to find the value of angle 3. This leads us to the solution that angle 3 has a value of 46 degrees.
Answer:
Step-by-step explanation:
The domain are the set of all possible values for x.
There are no restrictions on the value of x.
The domain is all real numbers.
