Answer:

Step-by-step explanation:
Given: 
If there is a coefficient in front of a
or
, that means it becomes an exponent.

Simplify the exponent.

When there is addition between two logarithms or natural logarithms, it means they multiply together.

Answer:
no
Step-by-step explanation:
Given
1 + 4(3x - 10) - 12x ← distribute the parenthesis
= 1 + 12x - 40 - 12x ← collect like terms
= 1 - 40
= - 39 ≠ - 9
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
Answer: -4/3
Step-by-step explanation:

Answer:
k= -29
Step-by-step explanation: