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:
0.321233-cups, 0.321233-tablespoon, 0.321233-teaspoon
Step-by-step explanation:
the next 2 questions I can't convert because I don't have grams
Answer:
-0.9
Step-by-step explanation:
-0.9 × 100 = -90
The type of transformation that maps <span>∆ABC onto ∆A′B′C′ is a
reflection transformation
The triangle is reflected across the line y = 0.
</span><span>
When ∆A′B′C′ is reflected across the line x = -2 to form ∆A″B″C″,
B'' vertex
of ∆A″B″C″ will have the same coordinates as B′</span>
Well lets start by getting y. We already know that all angles of a triangle will equal 180 degrees.
Therefore we know that 65 + 65 + y = 180. To solve for y we just add the two 65's then subtract that from 180
y = 180-130 = 50 Therefore y = 50
Now lets solve for x. We know that since angle B is flat it is equal to 180. The unknown value of angle B = 180 - 65
Therefore that unknown value = 115
As we previously stated all angles of a triangle equal 180. We can now come up with this equation: 115 + x + x = 180
2x = 65
x = 32.5
<span>Hope this helps! If you have anymore questions just ask!</span>