Look at the triangles shown below. What is the value of b ?

Step-by-step explanation:

In a right angled triangle, if a perpendicular is drawn from a vertex of the right angle then triangles on both sides of the perpendicular are similar.

In ΔPDY, ∠D = 90° and DM ⊥ PY

So, ΔPMD ≈ ΔDMY

If two triangles are similar then their corresponding sides are proportional.

Put

So,

According to Pythagoras theorem, square of hypotenuse is equal to sum of squares of the other two sides.

In ΔDMY,

Put

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.