The shape of a satellite dish can be described as parabolic. satellite dishes are this shape because radio waves are reflected from the surface of the dish and received into the focus. if the graph of the satellite dish is given by the equation x2 = 8y, what are the coordinates of the focus? (, )

(0,2)

Step-by-step explanation:

Given: The shape of a satellite dish can be described as parabolic. Satellite dishes are this shape because radio waves are reflected from the surface of the dish and received into the focus.

The graph of the satellite dish is given by the equation

Here, coefficient of y is positive, hence the parabola opens upwards.

On comparing this equation with standard equation , we get

In standard equation, coordinates of focus=(0,m)

Thus for given equation coordinates of focus=(0,2)

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

the circumference of a circle is, 10.676 cm.

step-by-step explanation:

the formula for circumference of a circle is given by:

where

c is the circumference of a circle and

d is the diameter of a circle.

given: diameter(d) = 3.4 cm and use

substitute these values in [1] we get;

cm

therefore, the circumference of a circle is, 10.676 cm