Answer:
Step-by-step explanation:
The conic form of the equation for a sideways parabola is
(y - k)² = 4p(x - h)
The focus is at (h + p, k)
The equation of Samara's parabola is
(y - 3)² = 8(x - 4)
h = 4
p = 8/4 = 2
k = 3
h + p = 6
So, the focus point of the satellite dish is at
Answer:
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Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
We can find the slope by change in y of change in x
change in y
---------------------
change in x
The y changes -3 ( goes down 3)
the x changes +3 ( to the right 3)
-3
----
3
This simplifies to -1
Answer:
5
Step-by-step explanation:
4(x+3) is 4x+12
2x+22=4x+12
-2x from both sides
get 22=2x+12
-12 from both sides
get 10=2x
divide by 2 to both sides
get 5
Given parameters:
Midpoint of AB = M(3, -1)
Coordinates of A = (5,1)
Unknown:
Coordinates of B = ?
Solution:
To find the mid point of any line, we use the expression below;
and
where and = coordinates of the mid points = 3 and -1
x₁ = 5 and y₁ = 1
x₂ = ? and y₂ = ?
Now let us input the variables and solve,
3 = and -1 =
5 + x₂ = 6 -2 = 1 + y₂
x₂ = 1 y₂ = -2 -1 = -3
The coordinates of B = 1, -3