The sketch of the parabola is attached below
We have the focus

The point

The directrix, c at

The steps to find the equation of the parabola are as follows
Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates;

and

.
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by

Step 2
Find the distance between the point P to the directrix

. It is a vertical distance between y and c, expressed as

Step 3
The equation of parabola is then given as

=


⇒ substituting a, b and c


⇒Rearranging and making

the subject gives
Answer:
0.12=zero point one two
Step-by-step explanation:
Answer:
L=35cm
Step-by-step explanation:
Perimeter is 2(L+w)
156cm=2*(43+L)
L=35cm
Answer:
sin(2A) = (2√2 + √3) / 6
Step-by-step explanation:
2A = (A+B) + (A−B)
sin(2A) = sin((A+B) + (A−B))
Angle sum formula:
sin(2A) = sin(A+B) cos(A−B) + sin(A−B) cos(A+B)
sin(2A) = 1/2 cos(A−B) + 1/3 cos(A+B)
Pythagorean identity:
sin(2A) = 1/2 √[1 − sin²(A−B)] + 1/3 √[1 − sin²(A+B)]
sin(2A) = 1/2 √(1 − 1/9) + 1/3 √(1 − 1/4)
sin(2A) = 1/2 √(8/9) + 1/3 √(3/4)
sin(2A) = 1/3 √2 + 1/6 √3
sin(2A) = (2√2 + √3) / 6
Answer for the first dropdown box is CAF and EFH
Answer for the second dropdown box is because they are corresponding angles of parallel lines cut by a transversal
Answer for the third dropdown box is transitive property of congruence
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Explanation:
Angles CAF and EFH are corresponding angles because they are on the bottom side of the parallel lines, and on the right side as well. So they are congruent (due to the lines being parallel).
Since CAF = EFH and EFH = HFD, this means that CAF = HFD
It's similar to saying if x = y and y = z, then x = z. Think of it as a connecting chain. This is the transitive property.