Answer:5π/12
Step-by-step explanation:
180°=π
75°=x
x=75π ➗ 180
x=5π/12
6 + 3c is the correct answer
Answer:
a. Vertex = (2.5,-12.25)
b. y-intercept = (0,-6)
c. x-intercept = (6,0) ; (-1,0)
Step-by-step explanation:
a.
Your equation is written as:

The easiest way to find the vertex is writing the equation this way:

Being the vertex (h,k)
So first complete the square

Vertex : (2.5,-12.25)
b.
To find the y-intercept you need to replace the equation when x = 0 and get y

c.
To find the x-intercept you need to replace the equation when y = 0 and get x

Answer:
y = -2x + 9
Step-by-step explanation:
y = -2x + 7
(4, 1)
1 = -2 ( 4 ) + b
1 = -8 + b
b = 9
y = -2x + 9
Answer: n = 130
Step-by-step explanation:
The sequence is an Arithmetic progression ( AP )
The last term of the sequence is (L) is 394 with the formula
L = a + ( n- 1 )d . From the sequence, a = 7, d ( common difference ) = 3 and L ( last term ) = 394, and n = ?
Put those values in the formula above and solve for n.
a + ( n - 1 )d = L
7 + ( n - 1 ) x 3 = 394
7 + 3n - 3 = 394
4 + 3n = 394
3n = 394 - 4
3n = 390
n = 130