Answer:
(x+2) ^2 + (y-5)^2 = 36
Step-by-step explanation:
The equation of a circle can be written as
(x-h) ^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
The radius would be from 5 to -1 = 6 units
(x--2) ^2 + (y-5)^2 = 6^2
(x+2) ^2 + (y-5)^2 = 36
Answer: x= 17°
Step-by-step explanation:
The two measures have to add up to 180 degrees.
(7x -1) + (5x -23) = 180 combine like terms on the left side
12x - 24 = 180 add 24 to both sides
+24 +24
12x = 204 Divide both sides by 12
x = 17
Y=-1.5x+1.5
we can see the y-intercept is at (0, 1.5).
And when the line goes to the right 1 unit, it's at (1, 0), which is going down 1.5 units, meaning the slope is -1.5x. you can check this in desmos graphic calculator and you'll see the points on the line if you want
Answer:
6, - 36 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
f(x) = x² + 12x ← is in standard form
with a = 1, b = 12, c = 0 , then
x = - 
= - 6
Substitute x = 6 into f(x) for corresponding value of y
f(6) = 6² + 12(- 6) = 36 - 72 = - 36
vertex = (6, - 36 )
