4. The diagram on the right shows a part of the curve y = a + b/x The line 3y - x = 14 is a normal to the curve
y = axta
3y-x= 14
e
P(1,5)
at P(1,5) and this normal intersects the curve again at Q.
Find
(a) the values of a and b,
(b) the equation of tangent at point P.
(e) the coordinates of Q,
(d) the coordinates of the midpoint of PQ.
0

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.

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

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

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation:

10 - 75

step-by-step explanation:

there's nothing attached so it's most likely anything in that range.