Answer:
Directrix equation: y = 11/2
y = k - c = 6 - 1/2 = 11/2
Step-by-step explanation:
y=(1/2) x^2+6x+24
factor this
y = (1/2)* [ x^2 + 12x ] + 24
y = (1/2)* [ x^2 + 12x + 36 - 36] + 24
y = (1/2)* [ (x + 6)^2 - 36] + 24
y = (1/2)* (x + 6)^2 - 18 + 24
y = (1/2)* (x + 6)^2 + 6
y - 6 = (1/2)* (x + 6)^2
2*(y - 6) = (x + 6)^2
4c = 2, (h, k) = (-6, 6)
c = 1/2
Directrix equation: y = k - c = 6 - 1/2 = 11/2
Answer:
a- Slope-intercept form (y =
+
) ::=> 1
b- Slope of Line = m =
: From Equation 1
Step-by-step explanation:
a- We have following equation:
7x + 6y = 5
Here if we re-arrange for y:
6y = 5 -7x :: Compare it with y = mx + b
y =
+ 
b-Compare y = mx + b and y =
+ 
m= -7/6 and Slope of lines parallel to the given line is shown in the equation
Answer:
(- 3, 7 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
(
,
)
Here (x₁, y₁ ) = (0, 11) and (x₂, y₂ ) = (- 6, 3) , then
midpoint = (
,
) = (
,
) = (- 3, 7 )
Answer:
Step 2(1-(-1)=0),-2.2
Step-by-step explanation:
Step 2: 1-(-1)=0 is wrong it should be 2
1-(-1)=1+1=2
The correct solution is -2.2
Let f(x) be y.
y = x³ + 3
Switch x and y:
x = y³ + 3
Now you need to isolate y and you would get inverse function.
x - 3 = y³
∛(x-3) = y
Final answer: f ⁻¹(x) = ∛(x-3)
Hope this helps.