The standard form for a parabola is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y - k)2 = 4p (x - h), where the focus is (h + p, k) and the directrix (d)
is x = h - p.
So directrix is: y = k - p and the focus is at:
(h, k+p)
Since our focus is: (1, 3) and directrix is: y = 1,
thus h = 1, k+p = 3, and k-p = 1
Therefore k = 3-p, 3-p-p = 1, k = 3-p = 3-1 = 2
3-2p = 1, -2p = -3+1, -2p = -2, p = 1
Now we plug p, k, & h into standard form:
(x - h)2 = 4p (y - k)

y = 1/4 (x-1)^2 + 2
We have the following expression:
S = 6x ^ 2
We must clear x from the equation.
For this, we follow the following steps:
Step 1)
Pass 6 to divide:
S / 6 = x ^ 2
Step 2)
Square root on both sides:
+/- root (S / 6) = x
Step 3)
Multiply numerator and denominator by 6:
x = + / - root (6S / 6 * 6)
Step 4)
Rewrite expression:
x = + / - root (6S / 36)
Step 5)
Take root to denominator:
x = + / - (root (6S)) / 6
Answer:
x = + / - (root (6S)) / 6
(option 2)
Answer: 1 1/20
Step-by-step explanation:
1/2 / 5/8 + 1/4
=8/10 +1/4
=21/20
=1 1/20
Answer:
35/4
Step-by-step explanation:
Because these are corresponding angles,
4x + 10 = 8x - 25
4x = 35
x = 35/4
4-7x= 39
Subtract 4 from both sides
-7x= 35
Divide both sides by -7
x= -5
The value of x+1= (-5)+1= -4.