Its 75 because you at the 2 variables and then subtract them by 180 so 180-105=75
Step 2 , supposed to be 4^-15 instead of 4^-2. Always multiply the exponents together.
Answer: Chris made a mistake in step 2 -C
Answer:
(x + 1)² + (y - 1)² = 1.5625
Step-by-step explanation:
From the picture we see:
The radius is 5 units. Each unit is .25 so the radius is 1.25.
The centre or middle M= ( -1, 1 )
Circle with centre M and radius r :
(x - xM)² + (y - yM)² = r²
xM = -1
yM = 1
r = 1.25
(x - (-1))² + (y - 1)² = (1.25)²
(x + 1)² + (y - 1)² = 1.5625
Answer:

Step-by-step explanation:
∵ The quadratic equation form is :
y = [1/2(b - k)] (x - a)² + (b + k)/2
Where (a , b) is the focus and directrix y = k
∵ The focus is (4 , -3) and directix is y = -6
∵ 
∴ 
∴ 
another way:
Assume that (x , y) is the general point on the parabola
∵ The distance between the directrix and (x , y) = the distance between the focus and (x , y)
By using the distance rule:
∵ (y - -6)² = (x - 4)² + (y - -3)² ⇒ (y + 6)² = (x - 4)² + (y + 3)
∴ y² + 12y + 36 = (x - 4)² + y² + 6y + 9
∴ 12y - 6y = (x - 4)² + 9 - 36
∴ 6y = (x - 4)² - 27 ⇒ ÷ 6
∴ y = 1/6 (x - 4)² - 9/2