Answer:
the nth term of the sequence is 
Step-by-step explanation:
Given : An arithmetic sequence begins as follows: 
To find : Which of the following gives the definition of its nth term?
Solution :
The nth term of the A.P is 
The first term is 
The common difference is 
Substitute in the formula,
Therefore, the nth term of the sequence is
Angle Q will have the same measurement as it did before, 30°.
Just because the angle is rotated shouldn't change its angle measure.
39 dont forget the squared thigy
Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form using the method of completing the square.
Given
f(x) = 3x² - 24x + 10
We require the coefficient of the x² term to be 1 , thus factor out 3
3(x² - 8x) + 10
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
= 3(x² + 2(- 4)x + 16 - 16) + 10
= 3(x - 4)² + (3 × - 16) + 10
= 3(x - 4)² - 48 + 10
= 3(x - 4)² - 38, thus
f(x) = 3(x - 4)² - 38 ← in vertex form
