The y-intercept is (0,−48)
The angle formed by the ribbon and the pole is 29°
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let θ represent the angle formed by the ribbon and the pole.
Hence:

The angle formed by the ribbon and the pole is 29°
Find out more on Trigonometric ratio at: brainly.com/question/1201366
Answer:
2,640
Step-by-step explanation:
B(-4; 1)
3 units right → x + 3
2 units down → y - 2
B'(-4 + 3; 1 - 2) → B'(-1; -1)
Answer:
9 months
Step-by-step explanation:
Given
Fabulous fitness charges a one-time fee of $90 and an additional $25 per month
let the number of months be x
and the total charges be y
y= 25x+90---------1
Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month
let the number of months be x
and the total charges be y
y= 32x+27------------2
Required
The value of x, that is the number of months
Step two:
Equating both equations we have
25x+90=32x+27
collect like terms
25x-32x=27-90
-7x=-63
7x=63
divide both sides by 7
x= 63/7
x= 9 months