Replace ∗ with a monomial so that the trinomial may be represented by a square of a binomial: b2 + 20b +*

Given:

The expression is:

To find:

The a monomial so that the trinomial may be represented by a square of a binomial.

Solution:

If an expression is , then be need to add square of half of coefficient of x, i.e., in the given expression to make in perfect square.

We have,

Here, coefficient of b is 20,so wee need to add square of half of coefficient of b, i.e., .

Therefore, we need to add 100 to make a perfect square binomial.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

(-1,-0.5)

step-by-step explanation: